diff --git "a/data/dm_maths/full_data_1/10398_11255.jsonl" "b/data/dm_maths/full_data_1/10398_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10398_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(m) be the third derivative of -m**6\/120 + m**5\/20 + m**4\/2 - 2*m**3\/3 - 389*m**2. Give j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77331 + 162?\nAnswer: -77169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)*-47 + (4 - 5). Let i = p + 101. Solve 6 = -i*k + 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1551, 6255, 14091, 25059, 39159, 56391, 76755?\nAnswer: 100251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 32*l - 36*l - 14, -4*l = -4*r + 16. Sort r, 17, -12 in descending order.\nAnswer: 17, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18414 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68)*-2 + sqrt(68) + sqrt(68) - sqrt(68)) - 2*(-2*sqrt(68) - sqrt(68)))\/(((sqrt(4) + 1*sqrt(4))*-3 + sqrt(4))*6).\nAnswer: -2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157.729233957 + 0.270939043. Let c = -158 + h. Round c to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2799.87 months to millennia.\nAnswer: 0.2333225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/((-1)\/(-6)). Find the common denominator of x - 2 - (-49)\/(-3) and 53\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**3 + 3*r**2 - r + 3. Let h(c) = -45*c - 33 + 7*c**2 + 43*c + 40 + 0*c**3 + 10*c**3. Give -7*f(a) + 3*h(a).\nAnswer: -5*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222301221 - 22211?\nAnswer: -222330032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 4127 + 3973. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, s: 4, p: 2, u: 7}. What is prob of sequence xx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 39) + (19 - (19 + 2))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 - -923. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -4, 0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 12848?\nAnswer: 12848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409242388 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g + 2020 = -59*g. Calculate the remainder when g is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*l**5 + 448*l**4 - 44*l**3 - 326*l**2 - 128*l - 14 = 0. What is l?\nAnswer: -7, -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose -5*a + 20 - 6 = f, 5*a + v*f = 22. Is a at most as big as 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.523 + 11819.477. Let t = q - 12077.42. Let m = 233 + t. What is m rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -161 + 4?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -60*o**2 - 46*o + 30. List the prime factors of b(-4).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-10))\/((-16)\/40). Suppose -c - 1 = -b, w*c = 2*b + 2*c - 7. What is the tens digit of (80\/(-15))\/(b\/(-63))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -93.8. What is the nearest to -2\/3 in -202, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 14*y + 5*y + (2 - 2 - 3*y)*(4 - 1 - 4))*(4 - 1 + 3) in the form z*y + t and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 + 40?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -1581\nAnswer: -7\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 + 0.1. Let g = -15912 - -15912.3. Sort j, -0.4, g, 2\/7 in decreasing order.\nAnswer: j, g, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 7*w + 7*w + 7*w - 3*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3669 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4967620 and 37\/616.\nAnswer: 109287640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -60, -6 in decreasing order.\nAnswer: -4, -6, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 k when four letters picked without replacement from ppkkkpppkkkppppkkkp?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963524 divided by 654508?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -664 - -663.69. What is the closest to 0.1 in -0.2, -5, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-3)*(o**(-4)\/o*o)**8 assuming o is positive.\nAnswer: o**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -3\/4 (c) 3\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 7*s + 3. Calculate the remainder when w(5) is divided by (-978)\/16626 - (-69)\/17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 2*n + 0 + 0*n**2 + 2\/3*n**3. What is c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 670\/(-135))*267 - 13\/(-117).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -5 (c) 1.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26406 and -14.\nAnswer: -369684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1827 and 44\/29547.\nAnswer: 856863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 5. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498*y**2 + 2*y**3 - 10*y**3 - 55*y**2 - 39*y**2 + 107*y**2.\nAnswer: -8*y**3 + 1511*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136827780 by -68413890.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*h - 0*h. Suppose -k = -4*v - h - 7, 28 = -3*k - 5*v. Is 12 a factor of 13\/(2\/(-4)*k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 50 = 34. Suppose -8 = -3*w - 2, -2*w - g = -4*t. What is the remainder when 31 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -82, 577, 1864, 3989, 7162, 11593, 17492?\nAnswer: 25069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 114*n - 19863 = 109*n, 3*p + 4*n = 59666. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786422 to the power of 1\/2, to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705820415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*f + m + m, -3*f - 12 = 4*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugng when four letters picked without replacement from ggnu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**5 - 2*q**4 - 8*q**3 + 9*q**2 - 7. Let b(w) = -w**5 + 2*w**4 + 7*w**3 - 8*w**2 + 6. Let c(d) = 7*b(d) + 6*p(d). Factor c(l).\nAnswer: -l**2*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 4*j + 3. Let a be y(2). Let o = -11 + a. Suppose 3*c + b = 2*b + 61, o = -3*c - 3*b + 69. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daqqaqmqad. Give prob of picking 3 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 63773672.27 to the nearest one thousand.\nAnswer: 63774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 + 6. Suppose -48*p + 44*p = -32. Let c be t(p). Let y(l) = -40*l + c*l - 32*l. Let a(r) = -26*r. Determine y(a(o)).\nAnswer: 52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135288 is divided by 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163\/10 + 2139\/130. Let j = -0.2 + -0.3. Let q = -1 - j. Sort 0.04, a, q in decreasing order.\nAnswer: a, 0.04, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 129*n - 2 - 128*n + 259*n + n**4 to k*n + b*n**3 + c*n**4 + o + s*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13 = -2*u, u + 0*u = -d + 17. Let j be ((-6)\/4)\/(6\/(-56)). What is the greatest common factor of j and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7*m = -3. Solve 4*k = m*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b + 2 = s, 3*s - 6 = -2*b. Solve 4*u + 3*i + 4 = 0, s*u + i - 2 + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(18) - (sqrt(198)\/(sqrt(33)\/sqrt(3)) + sqrt(18))**2 - sqrt(18)) + (sqrt(18) + 1)*5).\nAnswer: -134 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104281334, -104281333, -104281332, -104281331, -104281330?\nAnswer: -104281329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y + 7 + 22*y + 51*y + 44*y - 1.\nAnswer: 57*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969192?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*n + 1, -17*g + 13*g - 4 = -5*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 748804 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 + -21. Suppose 9*y - r = 299. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 6:26 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*i**5 - 9 + 9 - 5*i**5 + 0*i**5 + 3*i**5 + 2*i**4 + (-3 + 3 + 2*i**4)*(-2*i + 2*i - 2*i).\nAnswer: -42*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1150*-0.2953.\nAnswer: -339.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 362*p - 4115. What is a(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 5. Let s be h(5). Let z(y) = -2*y**2 - 29*y + 32. Let t be z(s). Sort 5, t, 4.\nAnswer: 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k + 1. Let v(s) = -30*s + 3. Let j(h) = 4*v(h) - 11*y(h). Give j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 139848? (a) 4 (b) 5 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 + 50476*b - 353340. Calculate h(7).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*207\/135 - (-13 + 5 - -1)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 + (1 - -1))) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 + 8*o - 57. Determine b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 297 = 558. Let l be -1*3 - (-12)\/4. Suppose l = 4*g - 2 - 302. Calculate the greatest common factor of c and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 0 + 0 + (5 - (27 - 14)) + -7.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 13 - (2 - -29) - -31?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 11 + (-23 - (-25 + 12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = 5*w, 8*w = 4*w - 5*l + 20. Let a(f) = 12*f**2 - f + f**3 - 4 - 7 - w. Let t be a(-12). Is -5\/2 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 57.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*-5*sqrt(80))\/(-6*sqrt(144) + sqrt(4))*3)**2.\nAnswer: 6480\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 2226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-750)\/63 - (-2)\/(-21). Suppose -5*p - 2*s - 3*s - 75 = 0, 2*p = -4*s - 40. Let f = p - q. Solve -2*k - 20 = f*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.1 (b) 8 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*w - h = 77*w + 73*w + 64, 5*h + 530 = 17*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t - 40. Let k(r) = -26*r**3 - 2*r - 2. Let w be k(-1). What is the units digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -117.15202?\nAnswer: -49.15202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63 + 344*g**4 + 2*g + 2 + 121 wrt g.\nAnswer: 4128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8500, -16382, -24264, -32146, -40028, -47910?\n\"Answer: -7882*z - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h + 14. Let y = h - 7. Suppose -11 = -y*r + 7. Calculate the least common multiple of r and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 7004*w + 27937. What is h(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/52281 and 83\/435204.\nAnswer: 16102548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12973 - 16186. Which is smaller: w or -3212?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from {l: 5, y: 4, i: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 - -159.4. Let p = 27.4 + j. Let q = -25 - p. Sort -5, q, -0.04 in ascending order.\nAnswer: -5, -0.04, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39797\/7 - 352473\/62. What is the common denominator of 47\/558 and n?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626297713 less than or equal to 626297713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 2. What is the lowest common multiple of (8\/w)\/((-1)\/(-3)) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54074 = -3577*f + 161384 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -5c12?\nAnswer: 5c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 138. Give w(-31).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/120 - y**5\/15 + 5*y**4\/24 - y**3 - 4*y**2. Let z be h(3). Solve -4*l - 6 - 2 = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91900.84 meters in millimeters?\nAnswer: 91900840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 45. Calculate the highest common divisor of 57 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zozz when four letters picked without replacement from {o: 5, z: 13}?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.3, -0.03, 29\/64, 0.2 in descending order.\nAnswer: 29\/64, 0.2, -0.03, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l*o**5 + 315161*l*o**3 - 5*l*o**2 + 2036*l*o + 18*l - o wrt o.\nAnswer: 540*l*o**2 + 1890966*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1110)\/(-141)) + (-1056)\/(-38720)*33\/9.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6975289, -13950577, -20925865, -27901153, -34876441, -41851729?\n\"Answer: -6975288*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7*h = -144. Let c = -14 - h. Solve -5*l = u + 10, -u - 3*l = -c*l + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a0 - -4795?\nAnswer: 4a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/13 - 63930*i\/13 - 9836 = 0?\nAnswer: -2, 31967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 2*n**4 - n**4 + (n - n - n**2)*(-2 + 2*n**2 + 2) + 15393933 - 15393933 - 1679*n + n**3 + 2*n**4.\nAnswer: -2*n**4 + n**3 - 1679*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u - 238*u = -1297*u - 5455 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzzzyzzazzazz. Give prob of picking 1 y and 3 a.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 3*p + 22. What is v(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*f**4 - c**3*f**2 - 3593*c**3*f + 9*c*f**2 - 30*f**4 - 629*f**3 wrt f?\nAnswer: 168*c**3*f - 720*f - 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 12*r - 49. Is v(7) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*v**2 - 3*c**2*v + 5*c*v**2 - 570*c*v + 353*v**2 + 2*v wrt v.\nAnswer: 2*c**2 + 10*c + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104436 divided by -6?\nAnswer: -17406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*v**3 - 13*v**2 + v?\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*j - 47*j**3 + 89*j + (2*j - 2 + 2)*(-2*j**2 + 5*j**2 + 5*j**2) as l*j**3 + a*j + p + w*j**2 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s + 3. Let l = 33 - 30. Let k(v) = v**2 - v + 1. Let z(f) = l*k(f) - c(f). Let w(i) = -5*i. What is w(z(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + -40. Suppose -2*c - 5 = 3*c. What is the units digit of c\/(-2*(-2)\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 209 - 204, -3*h + 2*r + 1307453 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 21156000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/170 and -20\/629?\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c + 5. Suppose 4*k + 0*q + 3*q + 3 = 0, 0 = -k + c*q + 13. Is k >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471487141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 1. Let a(j) = -5. Let l(r) = -1. Let x(z) = 2*a(z) - 6*l(z). Give -2*m(p) - x(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/((sqrt(6) + 1*sqrt(6))*1))\/(-5*sqrt(4)\/sqrt(2)*-6))**2.\nAnswer: 19\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*u - 15*u - 28*u in the form w*u + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (1 + -75 - (267\/(-89) + 0))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/((-65)\/442).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-356651)\/(-3) + -8 + 110\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 30. Suppose 5*i - 168 = -4*z, 2*i - z - 76 = -w. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*h = -40, 0 = 132*x - 136*x - h - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*a + 2, y - 3 = -a - 0*a. Suppose -3 = 4*n - y*n. What is the second derivative of 2*z - 2*z**3 - z - n + 1 wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 h when three letters picked without replacement from asanawnnshb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 174\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 19. Let m be v(18). Which is bigger: -34 or m?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.3. Let z = 0.2 + -0.4. Let x = -9 - -8. Which is the closest to z? (a) s (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = 2*m + 22, -2*m + 3*n - 2 = 0. Let x = 21 + m. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*7*72\/(-21). Suppose 4*n = 5*n. Suppose n = 3*m - i - 57. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 758352.\nAnswer: -7583520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7081537.37 rounded to the nearest one hundred?\nAnswer: -7081500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31 and 127.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14593755 divided by 265341?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-5)\/10*(2 - 3). What is the closest to x in -2, 0.5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 94, 2, 5, -1 in decreasing order.\nAnswer: 94, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1.6, -3.95, 2, -2 in ascending order.\nAnswer: -3.95, -3, -2, -1.6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b - 1. Let i be r(-4). Let y(v) = -v**2 + 28*v - 79. Let d be y(3). Put i, 11, d, 14 in increasing order.\nAnswer: d, i, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 - -2 - -1. Suppose v = c - 4*c + 3*x - 267, 0 = 3*x. Let s = c - -157. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 279*z + 8. Let t be f(3). Differentiate -t*v**2 + 845*v**2 - 18 - 9*v**3 with respect to v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 78*x + 467 - 230 + 35*x + 37*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*v - 1993*i - 1730*v**2 - 2*v with respect to v.\nAnswer: 2*i - 3460*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 209?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 54936\/567 + -43.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*s + 392. What is the smallest common multiple of s and 7?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 17, v: 1}. What is prob of picking 4 f?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sujpsuu. What is prob of sequence ujup?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 - 227420336*r - 12930002306588224 = 0.\nAnswer: -113710168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732 - 732 - 17*h + 19*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddd. 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 next in -3961, -3943, -3925, -3907?\nAnswer: -3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 = 3*u - 4*v, u + 4*v - 15 = 0. Let y be (-11 - u)*(-2 - -1). What is the greatest common factor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 56, 33, -6, -67, -156, -279, -442?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 267.21558 months?\nAnswer: 0.022267965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3, -221, 10, -2, 2 in ascending order.\nAnswer: -221, -2, -1, 2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let o = 3 + 107. Let b = o + -115. Put 0, b, n in descending order.\nAnswer: 0, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 514. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -38. What are the prime factors of k*(-4 + 2) + (-78)\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2830, -5653, -8476, -11299, -14122?\n\"Answer: -2823*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/3 - 1834328*l\/3 + 420594901448\/3 = 0. Calculate l.\nAnswer: 458582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/12 - 0)\/(2\/78). Suppose 8*u + 38585 = b*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4029, -7999, -11955, -15891, -19801, -23679, -27519?\n\"Answer: s**3 + s**2 - 3980*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -11*q**7\/105 + 7*q**5\/60 + 358*q**3\/3 + 3*q**2 + 22*q. What is the first derivative of i(w) wrt w?\nAnswer: -88*w**3 + 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3 - 3 + 46*z**2. Let y(a) be the first derivative of -a**2 + 766. Give l(y(h)).\nAnswer: 184*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 4.8. Let y be 4 - (16\/(-4) - -4). Let h = 0 + 3. What is the nearest to h in z, y, 2\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(72) + -1 - sqrt(2)).\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/b**(1\/9)*b*b)*b*b*b)\/b)\/(b*b**(-11)))**(-2\/21) assuming b is positive.\nAnswer: b**(-164\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 6348.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3591900482 - -755972926837707\/210466. Let s = 2\/2239 + k. Let w = 215\/846 + s. Which is the second biggest value? (a) w (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 52 = -5*n, -3*j - 12 = 0. Suppose -180*w = -187*w - 35. What is the smallest common multiple of ((-4)\/14)\/(10\/(w + -1605)) and n?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 55.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**4\/4 + 8*x**2 - 30. Find the second derivative of f(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11901 is divided by 1304?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33739196 and 72.\nAnswer: 607305528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16584, -60095, -132614, -234141?\nAnswer: -364676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -9. Let h = 473.997 - 480. Let n = d + h. Round n to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 13. Let n(a) = a + 6. Let c(r) = -2*m(r) - 5*n(r). Let s be c(-7). Suppose -s*l - 3 = -9. What is the closest to -1 in -2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226 - 7*x**2 + 49*x**2 - 18*x**2 - 25*x - 11*x**2 - 11*x**2 to o*x**2 + u*x + q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3980, -4029, -4074, -4115, -4152, -4185, -4214?\n\"Answer: 2*v**2 - 55*v - 3927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 3:01 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by (-21)\/(1701\/18)*(9\/3 - 102).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59059937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4916 is divided by 2452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:35 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878009950?\nAnswer: 2, 5, 19, 79, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 2, -0.16, -0.2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -964.4469 + 0.1469. Let w = -1032 - n. Round w to 0 decimal places.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 1. Let z be o(-1). Suppose -z*m + 11*m = 28. Solve 2*w - 14 = -m*c, c = 2*w - 8 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207254.\nAnswer: 2, 3, 701209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 12266 = -3986. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94211 is divided by 1085.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1\/(-14)*(-1449)\/(-4140). Let g(k) be the second derivative of -3\/2*k**2 + 0 - 7*k + v*k**5 - 5\/12*k**4 + k**3. Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 3*l + 1. Let k(s) = -5*s**2 + 6*s - 3. Let c(y) = -3*k(y) - 7*p(y). Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -135*r**2. Let g(x) = 52*x**2. Determine y(g(i)).\nAnswer: -365040*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 - 5*d**2 + 3*d**2 + 6*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2310.44 in 0.1, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -33\/4*v**3 - 18 + 369\/4*v**2 + 165\/2*v = 0. Calculate v.\nAnswer: -1, 2\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -650 in 3, -0.08, 5, -1, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0 - 21*p**2 + 0*p + 11\/12*p**4 + 0*p**3. Let f(r) = -2*r**2. Determine s(f(l)).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (6 - (9 - -3) - (-7 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2241143 (base 5) to base 8.\nAnswer: 116355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5349.\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*w + 121*w - 57*w + 476 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*i + 1 + 21 = -60*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -12 + (1 + -10 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6311, 6484, 6659, 6836, 7015?\n\"Answer: q**2 + 170*q + 6140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -36 - ((496 - 500) + 16 + 1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13015 = -5*w + 2*u, -4*w + 4*u - 2*u - 10410 = 0. Let h = w - -3944. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*i**2 + 2*c*i - 7*c - 99*i**3 - 3*i wrt i?\nAnswer: -4*c - 594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2665 = 927*c - 28621 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*a - 463*a + 229*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 14*m - 12. Let a be n(-13). Suppose -d + 0*y + 14 = 4*y, 2*y = -2*d + 10. Let z be d - a*-1*19. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10, 2*x = -x + 2*p + 118. Suppose 39*l = x*l - 3519. What is the hundreds digit of l\/(-7) - 16\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118*2.4\nAnswer: -283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t, 4*d - 1175 = t - 4026. Let r = d + 1202. Let x = 1780 - r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161308425 or 161308424?\nAnswer: 161308424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 33.9. Round o to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 - -285. Let y = -1 - -4. What is the highest common factor of s and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1429652.80234828 and 0.2?\nAnswer: 1429652.60234828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 29, 6, -2 in decreasing order.\nAnswer: 29, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420 - -427)*((-204)\/28 - -3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0.5, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/12)\/((-252)\/189). Let u = 584\/119 + -64\/17. What is the second smallest value in -2\/7, -2\/3, p, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33262 - -48903. What are the prime factors of q?\nAnswer: 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486403090 to the nearest integer?\nAnswer: 22055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -46. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 211*b**2\/2 + 116*b - 207. What is the derivative of d(f) wrt f?\nAnswer: 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11289*m + 5632*m + 5659*m + 156.\nAnswer: 2*m + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 9\/2, -638294, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1402290 and -101\/10906.\nAnswer: 7646687370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -1402, -2174, -2990, -3856?\nAnswer: -4778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -33 - (116 - 204 - -28)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = -h. Let q = -4 - h. Let v = -0.5 + 0.2. Which is the nearest to q? (a) v (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 33 = 4*n. Let i = 10 + n. Suppose -i*f = 2*f + 4. Do -3 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 3*z - 3. Let n be h(2). Which is the smallest value? (a) n (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.5 (c) 4\/39 (d) -3\/183556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205295098*g**5 - 991*g**2 - 4224*g - 3 wrt g.\nAnswer: 12317705880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 31835560 to the nearest one hundred thousand.\nAnswer: 31800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 5, a: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - 4*v**2 - 15 + 20 + v**2 as j + i*v**2 + f*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -26. Suppose 3*v - 15 = h*v. Let p = 18 - 12. What is the greatest common divisor of v and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 759, 0.002, 36\/13 in decreasing order.\nAnswer: 759, 3, 36\/13, 0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:25 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 0, -14*y + q = -10*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cabcc. Give prob of sequence cbc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10300 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10863*l + 10863*l - 437*l**2 to r*l**2 + f + p*l and give r.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1537711 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2714179*z**4 + 207*z**2 + 4*z - 69 wrt z.\nAnswer: -65140296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s. Suppose -3*a + 7*a - 56 = s. Let c = -457 + 526. Calculate the remainder when c is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 15*t**2 + t**2 + 3*t - t as o + v*t + j*t**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 7. Calculate the remainder when 32 is divided by k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148523 in -2\/11, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/(110\/1188) - -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -13.6 (c) -23\/704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1815330 and 3025550?\nAnswer: 9076650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.341 and -51465093.\nAnswer: -51465094.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -5)\/((-4)\/(-189796)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-1 - (-13 + 18 + 5 + -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 350*m**2 + 1370*m + 4819. Determine t(346).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/35 - -51\/140. Let f be 588\/140 - 1\/5. Suppose 0*i**3 + 0 - v*i**f + 1\/4*i**2 + 0*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 16. Let d = f + 112. Let c = d + -196\/3. Sort 1, c, -1.9 in decreasing order.\nAnswer: 1, c, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2511)\/45)\/(-3)*145\/(-87)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447614 (base 9) to base 11.\nAnswer: 173425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -1 (c) 4 (d) 1\/4 (e) -193\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/15 + f**5\/30 + f**4\/24 - 2*f**2. Let l(c) = -c. Let p be l(1). Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 75*g - 4 + 260*g in the form h*g + x and give h.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -10.8, -0.1, -2\/51, 5?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2689*s - 26402 = 2075*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(4 + 5 - 9 - 18*k).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let s(m) = m**3 - 10*m**2 + 18*m + 17. Let w be s(8). Let v(t) = -4*t + t - w + 0*t + 2*t - 47. Give j(v(n)).\nAnswer: -n**2 - 160*n - 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**2 + s**5 + 4*s**5 + 33*s**4 - 43*s**4 - 5*s.\nAnswer: 5*s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*u**3 + 24*u**3 + 2*u**4 - 2*u**2 + u**5 + (-7*u + 4*u + u)*(0*u**2 - 2*u**4 + 0*u**2).\nAnswer: 5*u**5 + 2*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 4169.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1978630 and -101\/4.\nAnswer: 3957260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 996 - 675. List the prime factors of z.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + 11*g + 4. Let m(j) = 5*j**2 + 6*j + 2. Determine -4*a(k) + 7*m(k).\nAnswer: -5*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/13731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-10)\/(-18))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**8\/1008 + t**7\/315 - t**5\/90 + t**4\/72 - 3*t**2\/2 + 3*t. Let v(f) be the first derivative of s(f). Factor v(q).\nAnswer: -q*(q - 1)**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 18 + -17 - (-2 + 5) - -4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1100162*l**4 + 128*l**3 + 130*l + 867841 wrt l.\nAnswer: 13201944*l**2 + 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 154*h**2 - 647*h + 98. Determine i(-81).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + (3*sqrt(125) + 5 - sqrt(125))**2 - (sqrt(125) + -5 + sqrt(125)*3 + sqrt(125) - sqrt(125))**2.\nAnswer: -1500 + 305*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 31 = -v, 23 = 5*a + 5*v - 32. Calculate the smallest common multiple of a and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**21*(r*r**(-4\/3)*r)\/r)\/(r**(-3\/8)*r**(2\/21)*r) assuming r is positive.\nAnswer: r**(1117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675, 669, 651, 615, 555, 465, 339, 171?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281524*v**4 - 438776*v wrt v.\nAnswer: 3378288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.864 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8104 divided by 2026?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6198*x**2. Let n(s) = 5*s**2. Calculate z(n(q)).\nAnswer: 154950*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 889.8214g?\nAnswer: 0.0008898214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*h**3*l + c**2*h**3 - c**2 - 31*c*h**3 - 9*c*h**2*l + 3*h**2*l + h*l wrt h.\nAnswer: -6*c**2*l + 6*c**2 - 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3048 divided by -1016.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 92*a - 2115. Let k be p(-47). Put -4, k, 7, -3 in decreasing order.\nAnswer: 7, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*v - 49. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -10708*g**3\/5 - 1010608*g**2 - 595856576*g\/5 + 63270656\/5 = 0.\nAnswer: -236, 284\/2677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(3*m - 3*m + 2*m) + 107726 - 107713 - 6*m**2 - 30*m**2.\nAnswer: -32*m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1522902293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/53 + -49\/106. What is the nearest to 1\/3 in -0.2, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 m when four letters picked without replacement from ppppmppppppm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22123 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132043 and -17.\nAnswer: 2244731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*j - 12*j**5 + 17*j - 42*j + 5*j**2 wrt j.\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 + -391. Let j = -79 - l. What are the prime factors of j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 1. Suppose 0 = q + 9 + 7. What is the remainder when v(4) is divided by (-2 + 6\/4)\/(2\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 246 - 2212\/9. Let y be ((-36)\/(-8) + -4)\/((-5)\/(-2)). What is the closest to y in -0.05, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(5) - (sqrt(5) + -2)))**2 + sqrt(45)*3)*1.\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56 (b) -0.3 (c) 168 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 313, 349, 401, 475, 577, 713, 889?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/40*((-37620)\/5187)\/(-33))\/((-2)\/2).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6518, 5920, 4922, 3518, 1702?\n\"Answer: -p**3 - 194*p**2 - 9*p + 6722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 54 = -9*z. Let r = -13 + z. Solve -4*j - 3 = -0*j - 3*l, r*l + 18 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 243, 243, 255, 285, 339, 423, 543?\n\"Answer: l**3 - 7*l + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 4}. Give prob of sequence xqx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 77*f - 372. Determine d(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiegyigeilki. What is prob of sequence gi?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7324 - 63 = 262*v + 4927 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 9552327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 2}. Give prob of sequence iiuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1209 in -0.4, 0.1, 653, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 191288173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/4))\/c)\/c*c**(1\/2)\/c*(c*c**(-6\/7))\/((c\/c**(-4\/3))\/c))**(-4\/13) assuming c is positive.\nAnswer: c**(205\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28338 = 36*z - 415470. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5352, 3183, 1014?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmg when four letters picked without replacement from oooogmmgmgggoom?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.9. Let m be 22\/(-43)*(-22)\/(-28). Let i = m + 5\/43. What is the closest to i in -3, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 270?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 178, 1\/3, -5, 0, 2\/8817 in increasing order.\nAnswer: -5, -2\/13, 0, 2\/8817, 1\/3, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6291172, -12582327, -18873484, -25164643, -31455804?\n\"Answer: -w**2 - 6291152*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 33*j**4\/2 - 2*j**3 + 595*j**2\/2 + 901. What is the second derivative of o(t) wrt t?\nAnswer: 396*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/(9\/(-12)). Suppose -15 = p - b*x - x, p + 5*x = -31. Does 7 divide (-24)\/56 - 198\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 3, d: 9}. What is prob of sequence ddrd?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -41. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5965 and 96513700?\nAnswer: 5965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45290 divided by 647?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70645705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, y: 4, i: 1, v: 5, u: 1}. Give prob of picking 1 u and 3 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139 - -111 - -24) + (0 - 7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246720 and 328960.\nAnswer: 986880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 - 453*b = 0.\nAnswer: 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3\/(-621))*(-21)\/(-189)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2504?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507015 divided by 57?\nAnswer: 8895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10164 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 1367. Let n(b) = -2*b. Give n(d(h)).\nAnswer: -4*h**2 - 2734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 247*b*k**3 + 4*b*k**2 - 45*b*k + 4*k**3 - 4046*k**2 + 3 wrt b.\nAnswer: 247*k**3 + 4*k**2 - 45*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96024572 is divided by 3185.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 - -165. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (1 + sqrt(2448) + sqrt(2448) + 5)) + sqrt(2448) + 2*(sqrt(2448) + 0)**2 - (4 + sqrt(2448) + -1 - (1*sqrt(2448) + -4))) + -2.\nAnswer: 4881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 3*i**2 + 2*i**3 + i**3 - 4*i**2 to w*i + x + o*i**2 + f*i**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 2, o: 1, s: 1, g: 1}. What is prob of picking 1 n, 1 s, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -494089.\nAnswer: -8\/494089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006499481 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(500) - (sqrt(35)*2)\/sqrt(7).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3042267 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 6*m**5 - m**5 + 2*m**3 + (m**2 - 3*m**2 + 4*m**2)*(-6*m**3 + 3*m**3 + m**3) - 2*m**5 - 3*m**5 + 4*m**5 - 5*m**5 + 0*m**5 + 4*m**5.\nAnswer: -4*m**5 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 45 = 0. Let f be 38\/(z\/6*(-24)\/(-18)). Let v(l) = 25*l - f*l + 12*l. Let u(a) = -a**2. Calculate v(u(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 36, -1866.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f)\/f**(-6)*(f\/(f*f**(-1\/3)))**(-1\/31) assuming f is positive.\nAnswer: f**(1115\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -725912*c**3*x**3 + 86220*c**2*x + c*x**3 + 3*c*x**2 - 4*x**3 wrt c.\nAnswer: -4355472*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5*x + 2*x)*(2*x - 2 + 2) + 3 - x**2 - 3 + 77*x - 2*x**2 - 52*x + 106*x.\nAnswer: -7*x**2 + 131*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v**2. Let g(i) = 90*i + 42. Let p(b) be the third derivative of -3*b**4\/8 - 2*b**3\/3 + 84*b**2. Let y(z) = 2*g(z) + 21*p(z). Calculate y(r(o)).\nAnswer: 261*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 7}. Give prob of picking 1 z and 3 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*u - 678*u + 1347*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - -50. Is o not equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130699671 to the nearest one million.\nAnswer: -1131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)\/((y\/(y**(2\/23)\/y)*y)\/y))**(-2\/125) assuming y is positive.\nAnswer: y**(32\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 2249?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 143980, 285478, 426976, 568474?\n\"Answer: 141498*y + 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 41 = 4*x, 0*b = -2*b + x + 14. Suppose 32 = 4*f - 3*k + 7*k, 5*f + k = 20. Solve f*s + 5*z + 30 = 0, -22 = -0*s + b*s - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3050 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -5*y**3\/3 - y**2 + y + 1. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6292 and -29\/10296.\nAnswer: 113256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71767 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/7 - (-325)\/273. Which is the closest to l? (a) 5 (b) 0.5 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 70 = 3*i + 28, 5*i + 3*o - 72 = 0. Suppose -n = -2*p + i, 2*n - 24 = 3*p - 5*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 6681*y**3 + y**2 + 6688*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281 + 276.03. Let d = -0.03 + n. Let q = 4.9 + d. Is -0.12 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780 and 1664?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/9 - 5\/(-3) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3047 - -5?\nAnswer: 3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 14*j + 3*x = 35, 16 = j + 2*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 114 + 2*v**2 + 390.\nAnswer: -v**2 + 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 43, -1507, 3 in increasing order.\nAnswer: -1507, -4, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/96 and 19\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2)*96\/40. Put 8, 2, -3, i in increasing order.\nAnswer: -3, 2, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 20*r - 74. Let i(m) = m**3 + 5*m**2 + 2*m - 2. Calculate the least common multiple of s(24) and i(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 12*b**2 + 3*b + 9*b**2 to a*b + t*b**2 + l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.3. Let n be ((-16)\/20)\/((-6)\/(-15)). Let t = n - -4. Which is the closest to -0.1? (a) -5 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380093 is divided by 1643.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*y - 597084 + 1738089. Is y a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxlwlasaxwslaaxws. What is prob of sequence laxa?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 987 and 12.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1373069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75352, -75351, -75350, -75349?\nAnswer: -75348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19958.892 months?\nAnswer: 1.663241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 4 = 0. Let i(b) = -b**2 - 3*b - 1. Let j be i(m). What is the units digit of 1 - 1*-2 - j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 97 = -11*o - 0. Solve -112 = -4*w - o*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 4*m)*(-2 - 2 + 6) + 3*m + 7*m - 3*m + 0 + 0 - 2*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13867*u**3 - 8*u**2 + 40*u + 8. Let l(y) = 4622*y**3 - 3*y**2 + 15*y + 3. What is 8*l(n) - 3*z(n)?\nAnswer: -4625*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w**2 + 4*w + 5. Calculate the remainder when 37 is divided by m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + v**2 - 12. Is 15 a factor of w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 30 = -54 + 24. Let h(z) be the second derivative of 1\/20*z**5 - 23*z + m*z**4 + 1\/3*z**3 + 0*z**2 + 0. Calculate h(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - h + 331 = s, 423 = 4*s + 5*h. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*h = 106*h - 42072. List the prime factors of h.\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-1\/8)*j)\/j)\/(j\/j**(2\/11)))\/(j**(-9)*(j**(-4\/15)\/j)\/j))**(-5) assuming j is positive.\nAnswer: j**(-13627\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - 5. Let j(h) = -h**2 + 1. Let r(k) = -a(k) - 5*j(k). Let u be 8\/2*3\/4. Let m(d) = -d + u*d - 3*d. What is m(r(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -154000 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/(20\/(-210)). Let o(v) = -v**3 + 6*v**2 + 8*v - 4. Let p be o(w). Solve -11 + 2 = p*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12182 - 12182 + 1163*v**2 + (0*v - 2*v + 3*v)*(-2*v + 1 - 1).\nAnswer: 1161*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 82?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18485535*s**3 + 761617*s?\nAnswer: 110913210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -2549.\nAnswer: -50980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764282859.\nAnswer: 3, 137, 1859569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -83.7347\nAnswer: 167.4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49547 = -1652*m - 18159 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 - 147. Let c = m + -73. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y + 12. Let m be v(10). Suppose -24 - 4146 = -4*g - m*n, 1020 = g - 4*n. What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/5 - 16*t**4\/5 + 42*t**3\/5 + 136*t**2\/5 + 77*t\/5 = 0. What is t?\nAnswer: -1, 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*m**4 + 40*m**3 - 135*m**2 - 75*m - 10 = 0. Calculate m.\nAnswer: -1\/2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 24 = -3*o, 2*o - 7*o + 24 = -3*k. Let s(q) = -q**2 + 5*q - 1. Let r(t) be the first derivative of -3*t**2 + 2*t - 312. Determine o*r(j) + 4*s(j).\nAnswer: -4*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-36)*7 + 1. Which is the nearest to -0.1? (a) t (b) -5\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 4*v**2 - 4. Let p be n(3). Suppose -3 = m, u - m - 1 = p. Differentiate 3*l**4 - 1 - u*l**3 + 3*l**3 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 23 + 4*x**4 + (0 + 7 + 0 - 2*x**3)*(3*x - 7 + 7) to the form r*x + m + q*x**3 + u*x**2 + k*x**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -59*y - 114. Let h be c(-5). Suppose -p - k + h = 0, 0*k = 4*p - 2*k - 706. What is the remainder when p is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 61*m**3\/6 + 27*m. Let r(y) = y**2. Calculate r(v(i)).\nAnswer: 3721*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*s - 5, 154432*y - 154429*y - 2*s + 13 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013797533 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -3*q + 5*w, 5*q + 5*w - 452 = 283. Solve -q*t + 156*t = 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 27*x**2 - 3*x - 60. Let a(j) = -2*j**2 + j. Let y(m) = 9*a(m) + 3*t(m). Differentiate y(d) with respect to d.\nAnswer: 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o**3 - 12*o**3 + 0*o**3. Let x(v) = -25*v**3 + v**2. Let j(k) = -4*s(k) + 5*x(k). Find the third derivative of j(y) wrt y.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62357378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 27424677?\nAnswer: 54849354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.046 or -0.1505?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55900 and 14638?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68100 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 21*z**2 + 20*z + 164. Is u(-22) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/(4\/(-8)). Let s(d) = -5*d**2 + 1. Let b be s(1). Suppose -5*g + 4*t + 10 = 0, 75*t - 9 = 2*g + 76*t. Sort b, g, i, -3 in increasing order.\nAnswer: b, -3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 257 = 1083. Round u to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. What is the third smallest value in 0.7, -2\/7, u?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -183.42?\nAnswer: -180.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8629 + -8626. Let i = -130 + 185. Which is the closest to -0.2? (a) -0.4 (b) m (c) 0.2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 0. Suppose -5*u + 82 - 27 = z. Let t = -35\/3 + u. Put 4\/7, 0, t in increasing order.\nAnswer: t, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**6\/80 - 9*v**5\/20 + v**2 + 71*v + 79. Let q(p) be the second derivative of u(p). Factor q(d).\nAnswer: -3*d**2*(d + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48784 + 140?\nAnswer: 48914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90872 * 0.02.\nAnswer: 1817.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-8)\/(-12)*(-3)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/9 - 7322*n**3 - 60564960*n**2 - 4144195200*n = 0.\nAnswer: -16440, -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20082, 20081, 20080, 20079, 20078, 20077?\nAnswer: 20076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -683\nAnswer: -28\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2 - 180272*d + 2031124624 = 0.\nAnswer: 22534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 599856807 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-7 - (3 + -13 - -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -124526.\nAnswer: 12452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-328.7.\nAnswer: 262.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 42 and 41.1.\nAnswer: 83.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2853 = 56*i + 4309 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286631 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5. Let a(j) = -539*j - 275. What is -a(w) - 55*i(w)?\nAnswer: 539*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 17\/60*s**5 + 0 + 1\/90*s**6 + 32\/9*s**3 + 0*s**2 + 20\/9*s**4 + 84*s. Factor j(y).\nAnswer: y*(y + 1)*(y + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862662829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 2*z**2 + 12*z**3 + 2*z**3 - 12*z**3.\nAnswer: 2*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 91*c**2 - 3*c - 6. Let y be i(3). Let x be (-1)\/2*y\/(-6). Let a = x - 64. Let b(m) = -m**2 + 5*m - 1. What is b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + -0.2. Suppose 4*r = -3 - 1. What is the nearest to r in 2, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than or equal to 175.411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 0*m**3 - 3*m**3 + (-6*m + 2*m + 3*m)*(4*m**2 + 0*m**2 - 5*m**2) to j + w*m**2 + r*m + h*m**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*j + 18*j - 24 - 198 = 0. Put j, -5, -11 in decreasing order.\nAnswer: j, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/37 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*x - 10, 3*x + 14 = 2*j - x. Suppose 10 = 3*d - 2*d + 3*r, 0 = -5*r + 10. Suppose -d*s + 5*s = 0. Solve 2*l - 3 = -j, -2*m - 4*l - 4 = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5311 + -318649\/60. Let n = 5\/12 + c. Suppose -4*t + 2 = -6. What is the biggest value in 1\/4, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30074033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 3*d**2 + 2. Let a be g(2). Let z = -1 - a. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -502131.\nAnswer: 251065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929795.\nAnswer: 5, 185959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215341131 - 2?\nAnswer: -215341133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-119)\/204)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u + 23. Suppose 6*s = -13*s + 4*s. Give a(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*6\/(-30)*4. Let l be (-10)\/(-4)*(-4)\/(-25). Factor l*q**2 - d*q + 0.\nAnswer: 2*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3304913 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: Solve -46*c**4\/7 - 514*c**3\/7 + 502*c**2\/7 + 514*c\/7 - 456\/7 = 0 for c.\nAnswer: -12, -1, 19\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = 3*z, 3*z + 6*b - 5*b + 2 = 0. Suppose 0 = 6*a - z*a. Solve -5*u - 3*l + 1 = 0, a = 5*u - 3*l - 0*l - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let d be k(2). Let f = -15 + 17. Let z be ((-3)\/5)\/(-3 + f). Is z less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.2546ml in litres?\nAnswer: 0.3342546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10940*0.0016\nAnswer: 17.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -25 - -10 - 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1287 = f + 2*q, 0 = 2*f - q - 857. Suppose -f = -4*j + 2*j + 3*w, -3*j + 2*w + 648 = 0. What are the prime factors of j?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d - d**2 + 0 + 4*d**2 - 2*d**2 + 8. Let z(r) = r**2 - 5*r + 5. Calculate 5*o(p) - 8*z(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyhh when four letters picked without replacement from zhhnhqthyzyqhqhhhh.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -185*x - 742. Calculate p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/370 and 65\/592.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and 96.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)*i)**(-15)\/((i\/(i*i**4))\/i**(-3\/5)) assuming i is positive.\nAnswer: i**(-307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) 5 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 3*t**2 - t**2 - 4*t**3 + (3*t + 0*t - t)*(4*t + 2*t**2 - 4*t) + 0*t**3 - 4*t**3 + 2*t**3.\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a factor of 8639572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54.984 + -0.016. Let g = 63184.9936 - 63130. Let d = u + g. What is d rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 6104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*g**3*w + 8*g**3 - 58408*g**2*w - 2*g**2 - 59*g*w - 410740*w wrt g.\nAnswer: -258*g*w + 48*g - 116816*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-1)\/(sqrt(33)\/(sqrt(11) + sqrt(22)\/sqrt(2))).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1830 is divided by 158.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((((d\/(((d\/(d\/(d\/d**35)))\/d)\/d))\/d)\/d)\/d))*d\/(d\/(d*d*((d\/(d*d**(-4\/11)))\/d*d)\/d)*d))\/(d**(-4))**(19\/3) assuming d is positive.\nAnswer: d**(2003\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/5)\/((8 - 5) + 0). Let d(j) = 2*j**2 + 2*j**2 - 1 + v*j**3 - 7*j**3 + 5*j - j**3. Let p(t) = -t**3 + t**2 + t. Calculate 2*d(b) - 10*p(b).\nAnswer: -2*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 192. Solve b*m = 2*q + m + 8, 3*q + 4*m - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s - 1. Let d be i(-5). Let z(l) = -7*l + 1. Suppose -2*k = -3*u + k - 6, 4*u = -5*k - 8. Let x be z(u). Solve -x = p + d*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 196960*h\/13 + 393928\/13.\nAnswer: -2*(h - 98482)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-584)\/50)\/(15\/50*12). Let d = 1357\/90 + m. What is the common denominator of ((-603)\/(-90))\/(0 - 2) and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200.621 * 201.\nAnswer: -40324.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 9*v**2 + 8*v + 3. Let i be h(8). Suppose -i*l - 5*f = -4, f - 1 = -l - f. Let c(g) = -5 - l*g + 2*g + 3 - 2. Calculate c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z - 32 = 0. Let g be -2*-7*(2 - 1). Let j be (-4)\/g + (-452)\/(-14). What is the greatest common factor of z and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2159*y + 0*y**2 + 2159*y - 1053*y**2.\nAnswer: -1053*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-22 + 22 - 4*x)*(2*x**3 - 2*x**3 - x**4).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 636993*h**2 - 1273995*h - 636999.\nAnswer: 3*(h - 212333)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 + -130. Let t(n) = 2*n**2 - 2*n - 4*n**2 + n**2 + 3*n. Let i(w) = -4*w**2 - 3*w + 1. Let m(l) = -i(l) + 3*t(l). Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85074, 170157, 255240?\nAnswer: 340323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 387, 2372, 7273, 16398, 31055?\n\"Answer: 218*n**3 + 150*n**2 + 9*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.023626789\nAnswer: 0.00141760734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - (-1)\/((-2)\/4). Let h = 18 - x. Suppose -54 = -h*n - 4. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 24\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/3 (b) -1\/4 (c) 2\/11 (d) 2\/9 (e) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7915 and 1125?\nAnswer: 8904375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssunnnsnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*x + 13, -821*a + 819*a = -4*x + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 379905.849 to the nearest one hundred.\nAnswer: 379900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 16*d + 3. Let y be -1*(-1)\/2*8. Solve -s + d*s = y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/14 - 341*o**6\/30 - 59*o**4\/3 + o**3\/3 - o**2\/2 + 11*o - 75. Find the third derivative of k(f) wrt f.\nAnswer: -180*f**2 - 8184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7620691322 - 7620533878.99995. Let k = r - 157427. Let u = -16 + k. Round u to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 + (94 + -34 - 39)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 414 (b) 6\/215 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/(-12)*130\/169. Solve -o*q - 2*z - 5 = 10, 5*z = 2*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - -1100021?\nAnswer: 1100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 11a61?\nAnswer: -11a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 25. Suppose 4*m = 5*r + 134, -r + y - 136 = -3*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3 + 14*l - l**2 - 5 - 1. Is 13 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1151 + 1151.2. Which is the nearest to m? (a) -1 (b) 0.31 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 3*d = -1, -5*h + d = -13. Let s be 5 + -1*(-1 + h). Solve -5 = s*n - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - 5*b + 2. Let w be f(3). Let n = -5 + w. Suppose 0 = 8*j - n*j - 672. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 5*z - 5*z + 0*z**2 + 0*z**2 - 2*z**2 - 5*z**2 + 2*z**2 - 3*z**2 + (3 + 2*z - 3)*(2*z - 3*z + 2*z) + 98*z - 98*z - z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2280)\/(-54) - -9) + (-8)\/36. Solve -80 = -u*a - 335 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94.046 + 1.054. Let y = -95 + x. What is the closest to -0.1 in y, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 2*k - 5. Determine a(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3 - 48*i - i**3 + 7*i**2 + 54*i - 2*i**2. Let n be g(5). Suppose m - n = 3. Is 29 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 9*v - 6. What is the lowest common multiple of 20 and y(-5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 - -268. What is the common denominator of (-9542)\/1404 + (6 - p) and 35\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*a - a + 15013, 0 = -f + 4. Let s be a\/(-15) - 2\/(-6). What is s rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 33.03. Let i = 33.07 - c. What is the smallest value in -1, 2\/7, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -142. Let y be 141\/4 + 2\/(-8). Calculate the highest common divisor of c and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37036411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 398552071 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -4. Let p = 11 - n. What is the closest to -1 in p, 6\/7, 5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(19) + sqrt(57)\/sqrt(3) - sqrt(19)) + 4 + (1*sqrt(114))\/sqrt(6) - (-1*sqrt(114)\/(sqrt(24)\/sqrt(4)))**2).\nAnswer: -15 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/11 (b) 5 (c) -1168 (d) 8\/11 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 154 = 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x + 0 + (-x - 1 + 1)*(0 + 1 + 0) - 4*x + 4*x + 2*x)*(0 - 3 + 4)*(8 - 8 - 3*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2049 divided by 28.\nAnswer: 2049\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(-4)*s))*s**(-6))\/(s**(-8)*s*s**(-4\/5)\/s) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 93. Suppose 9*k - 33*k = -143*k + 1428. What is the remainder when b(0) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 46. Let l(d) = -4945*d. What is l(m(p))?\nAnswer: -4945*p + 227470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let r(c) = -6*c**2 - 4*c**s + 5*c**2. Let z(v) = v**2. What is z(r(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 4*r + 2*r + (-3*r + 4*r - 3*r)*(-8 - 3 + 7) to the form c + t*r and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -115. Let t = -43 - g. Let b(i) = -i**3 - 9*i**2 + i + 4. Calculate b(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/8 + 39*z\/8 - 45\/4 = 0. What is z?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1023, 1017, 1011?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2*w**7\/21 - 37*w**5\/20 + 21*w**4\/4 - 11*w - 12. What is the third derivative of o(k) wrt k?\nAnswer: -240*k**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 560 = -4*f. Let z be 32\/f - (-60)\/14. Suppose -5*w = -3*j + 62, -z*j + w = 5*w - 136. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/23020 and 139\/12.\nAnswer: 69060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 62060.\nAnswer: 682660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/((-5)\/2))\/((-4)\/(-2)). Let u(q) = -q**2 - q + 1. Let m(z) = z**3 - 18*z**2 - 4*z + 30. Let b(o) = k*m(o) - 6*u(o). Does 6 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*g - 8, b - 6 + 14 = 3*g. Suppose 0 = -b*i + 3 - 99. Let h = i - -28. Solve 0 = h*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1494 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 5*j - l, 127*l = j + 125*l + 10 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 2*z + 10*s + 8, -4*z - 5*s - 30 = 0. Let m(l) = -l**3 - 4*l**2 + 4*l - 12. Determine m(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**7\/42 + 13*h**5\/20 - 4*h**4 - h**2\/2 + 130*h. Find the third derivative of u(d) wrt d.\nAnswer: -60*d**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00676977023 - 4574\nAnswer: -4574.00676977023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s + 7. Let r(x) = -x**2 + 5*x - 8. Let c = -311 + 309. Let y(i) = c*r(i) - 3*q(i). Let z(t) = -3*t - 5. Let m be z(-4). Give y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - 56\/(-12). Factor -5*x**3 + x**4 + 5*x**q + 2*x**3.\nAnswer: 3*x**3*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l + 6. Suppose -6 - 6 = -3*k + 4*i, k - 6 = 2*i. Suppose a - 1 = -k*a. What is the greatest common factor of a and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-28))\/(1\/7). Let o = j - -6. Let n = 9 - 5. Solve o = -n*t - 3*y + 10, 4*t + 16 = 6*t - 4*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k + 3. Let q = k - -1. Is q less than -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 495*h**2 - 150*h**2 - 347*h**2. Let p(z) = 564*z. Determine p(w(r)).\nAnswer: -1128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let q(c) = 9 + 2*c**2 - 28 - 5*c**2 + 14*c - c**2. Let v(f) = q(f) - 5*z(f). Let m be v(-15). Let j(x) = 2*x**2 + 5*x - 3. What is j(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3512730056\/7891689 + 1\/464217. Let a be (7120\/(-64))\/((2\/2)\/(-4)). Let r = q + a. Is 0 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -178. Suppose 3601 = 5*d + 2*j, -5*d - 2369 = n*j - 5968. What are the prime factors of d?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose v*z = z + 5. Suppose 2*y - 1460015 = 3*t, -4*y + 1963977 = z*t - 955998. What is y rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 4:54 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d - 10. Calculate t(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v = 64*v + 4*p - 17, 5 = -2*v + p. Which is smaller: v or 2\/647?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:02 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e85 + -74f?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from azrirzzaciatarirr.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*p*z + 488*g*q**2 + 88*g*z - 3*p*q**2 + p*q*z - 1769*p*z wrt g?\nAnswer: 2*p*z + 488*q**2 + 88*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/352908 and 97\/352908?\nAnswer: 352908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45491.\nAnswer: 45491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4541496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 + 240.999985045. Round y to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -66.1. Is -21 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21)*((-249964)\/2356 + 107).\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 4504*n**2 - n + 4457*n**2 - 8958*n**2.\nAnswer: 3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 116 and 3.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603866 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - 1.33. What is u rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.1, -6\/19 in descending order.\nAnswer: 3\/2, 0.1, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253188 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -137429, 2.48, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/7 - 82266*i**3\/7 + 1692005953*i**2\/7 - 483395016*i + 241691632.\nAnswer: (i - 41132)**2*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:48 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(3230\/(-408)).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2163*a**2*q**3*z - 493*a**2*q*u + 2*a**2*u*z - a*q**3*u*z - a*q**2*u*z + 8*q**2*u*z wrt q.\nAnswer: 12978*a**2*z - 6*a*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/7)\/(((-30)\/(-6405)*61)\/11).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u - 25 - 137\/2*u**2. Does 26 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 - 43*o + 61. Let b(s) = s**2 + 11*s - 15. Let t(v) = -26*b(v) - 6*q(v). Suppose t(j) = 0. What is j?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17999?\nAnswer: 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.328 from 8.\nAnswer: 7.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (2 + 1)\/(-1). What is the tens digit of (-2)\/(p\/3) - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -6*(-4 + -5 + 2*sqrt(468)) + -5 + -1))**2.\nAnswer: -110592*sqrt(13) + 1115136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 5 + (-1764)\/184 - (-46)\/529.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Let i(c) = c**3 + 3*c**2 - 3*c + 5. Let y be i(-4). Let r be f(y). Suppose r = -4*h + 4*m + 92, -m - 61 = -3*h + 14. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*y - 42*y - 44*y - 50*y + 17 - 57*y.\nAnswer: 14*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106998, -213649, -320300, -426951?\n\"Answer: -106651*o - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -1*(sqrt(343) - (sqrt(343) + -2 + sqrt(343))) - (-1 + sqrt(343) + -2))*-3)**2.\nAnswer: 126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/127, -3, -1987 in decreasing order.\nAnswer: -41\/127, -3, -1987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = -0*q. Sort 2, q, -0.3 in decreasing order.\nAnswer: q, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*d - 365*d = -936 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -14\/529, 1738 in increasing order.\nAnswer: -14\/529, 2, 4, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 17. Let d = 3.9 + -4.3. Let f = 2.39 + -0.39. Which is the second smallest value? (a) d (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) -14399 (c) 2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/(b\/(b*b\/((b\/(b*b\/(b*(b\/(b\/(b**3\/b)*b)*b)\/b)))\/b)*b)))))\/(b**7*b)*(b**(-3\/11)*b)**(-13\/4))**44 assuming b is positive.\nAnswer: b**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325)*3.\nAnswer: -3 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159.31 and 2.\nAnswer: 318.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 - 136*r**2 + 44*r + 57. Let o be p(45). Solve 4*k + 0*k - o = -j, -2*j = -2*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -3, 50, 189, 450?\n\"Answer: 6*t**3 - 11*t**2 - 6*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5532283619 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i - i + 4*z, -3*z + 17 = 4*i. Suppose -15 = l + 5*m, 0 = 5*l + m - 3 + 6. Let a be l*((-1)\/i - -1). Solve 4*y - 20 = -a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*j*t**2*x**2 - 2*j*t**2*x - 7*j*t**2 + 2*j*t*x**2 - 2*j*t*x - j*t - 9567*j*x**2 - j - 1756*t**2*x + 2*t**2 wrt x.\nAnswer: -130*j*t**2 + 4*j*t - 19134*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19748603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 111?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:37 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-5))\/(28\/10). Let t = i - -1\/14. What is the closest to -1 in t, -5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*r**5 + r**5 - 15*r**5 + (3 - 2 + 1)*(10*r**4 - 12*r**5 - 10*r**4).\nAnswer: -78*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - -11.2. Let y = i - 11.6. Which is the biggest value? (a) y (b) -4 (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:27 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -10776.\nAnswer: -323.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 886740 to the power of 1\/2, to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -61. What is the second smallest value in 2, -1.7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -867*g + 10. Let u(w) = -577*w + 6. Determine 5*k(l) - 8*u(l).\nAnswer: 281*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105.1 - 610.1. Let o = -495.32 - b. What is o rounded to 1 dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633*c**4 - 2*c**3 - 10*c**2 - 358 wrt c?\nAnswer: -15192*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*h**2 + 50*h**2 + 3*h**2.\nAnswer: 131*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let i = 4 + n. Let a(j) = -5*j**3 + 3*j**2 + 3*j - 12. Let h(x) = -x**3 + x**2 + x - 1. Let g(l) = i*h(l) - a(l). Determine g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 11*j**2 + 10*j + 2. Let h be r(10). Suppose -t + 33 = h*t. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/4)\/(2\/(-8)). Let z(v) = -11*v**2 - 9*v - 13. Let s(m) = -2*m - 6 - 42*m**2 - 2*m + 37*m**2. Calculate h*s(g) - 4*z(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 691 - 689. Let x(k) = -k**m + 32 + 40 - 72. Let n(i) = 162*i**2. What is n(x(a))?\nAnswer: 162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 44\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 301.\nAnswer: -61\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-4)\/6370*-7.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10aa85 (base 11) to base 9\nAnswer: 286862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062108 is divided by 484?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-3)*(252\/525)\/(-4)*-55.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 50. What is the closest to -1 in -2, r, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - o**2 + 2*o - 1. Let j(y) be the first derivative of 2*y**3\/3 + 3*y**2\/2 + y - 2. Let w be j(-2). Let b be 11 + -8 - (w - 1). Give a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let k(a) = 67*a**2 - 2*a + 224. Determine k(t(l)).\nAnswer: 67*l**2 + 2*l + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2267\/125 or -1\/2225?\nAnswer: -1\/2225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**1\/i)\/i)*i*i\/(i**(-22\/7)*i))\/(i**(1\/47)\/((i\/(i\/(i\/(i\/(i*i*i\/(i**(-2\/25)\/i)*i))))*i)\/i)) assuming i is positive.\nAnswer: i**(92133\/8225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 20*l**2 - 18*l + 5. Suppose -72 = -731*d + 739*d. Give s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 * 22.\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 7}. Give prob of picking 2 x and 1 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308032 divided by 6.\nAnswer: -154016\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2980a (base 12) to base 4\nAnswer: 32031022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 822 (base 11) to base 4\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 3, 0.068, 14\/3, -0.01?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1596*m**3 - m + 2. Let x(z) = -18*z - 22. Let c be x(-3). Let r be (-3)\/(6\/5)*c\/(-80). Is g(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = -17*i + 1843 - 619 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270.4 - 0.2.\nAnswer: 270.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/18)\/(6\/9). Suppose u*r + r - 20 = 0. Suppose -204 - 24 = -r*d. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-45))\/(1\/20). Let r = 26\/9 + s. Are r and 0.04 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11101101110101111110100?\nAnswer: 11101101110101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -171, 4, -2 in decreasing order.\nAnswer: 4, 0, -2, -6, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.6. Let i = 7158 + -7157.7. Which is the closest to i? (a) 1\/7 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 0 + 6 - 6 to s + y*n and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18938 + -18882. Suppose 5*l - 134 = 426. What is the highest common factor of d and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 23. Sort 6, d, -2 in increasing order.\nAnswer: -2, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 357356, 357224, 357090, 356954?\n\"Answer: -h**2 - 129*h + 357486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 189589.5l?\nAnswer: 189589500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4178.796896 and 0.25?\nAnswer: 4179.046896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3495 - -0.3395. Which is the fifth biggest value? (a) o (b) -0.4 (c) 2 (d) 0.4 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10696984 is divided by 822843?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-5)\/3 + 117879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 + 1223*x - 8846. Determine l(-118).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11154.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r**3 + 4*r + 0*r**3 - 2 - 4*r**2 + r**3. Suppose 20 = -4*x - 3*w, 3*x - 8*x - 4*w - 26 = 0. Let s be (-3)\/3*x - 0. What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -75*g + 368. What is t(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1603 and ((-34)\/(884\/(-130)))\/(2290\/44)?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*x = -10, 0 = -2*k - 4*x - 3 - 9. Suppose 5*f = 23 + k. Let c = 45 + -20. What is the highest common divisor of f and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 0. Let f(m) = -m - 8. Let q be f(h). Let z(o) = o**2 + o + 36. Does 9 divide z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (7 - 2)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.072471 - 15177\nAnswer: -15176.927529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435 and 69948.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (60 - 78)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 0*j**2 + j**3 + 5*j**2 + 2*j + 5. What is the remainder when w(-5) is divided by 6 - (-7)\/(-21)*-1*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 5*i - 1\/6*i**3 + 1\/2*i**2 - 1\/12*i**4 + 0. Let o(t) = -3*t**2 - 2*t. Calculate 2*k(w) - o(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*q + 26, -2*r - 3*r + 123 = 2*q. Let n(t) = -2*t**3 - t**2. Calculate the remainder when r is divided by n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c - 4. Let o be p(-5). Let l(g) = 4*g**2 + 6*g - 6. Let d(b) = -b + 5934 - 2*b**2 + b**2 - 5933. What is o*d(h) + l(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 358 + 1?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-14 + 7 - -11) + 15 + -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*w**4 - 9 + 2*w**4 - 27*w + 3 + 13*w**3 + 14*w**3 - 15*w**2.\nAnswer: 3*(w - 1)*(w + 1)**2*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, -4832, 4, -2, 0 in decreasing order.\nAnswer: 22, 5, 4, 0, -2, -4832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/1512 + s**7\/315 - 2*s**5\/135 - 13*s**2. Solve r(x) = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by -7.\nAnswer: 257\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 30*o - 84 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 79.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/3 - 3*t. Let i(f) = -5 + 5 + f + f. Give m(i(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2657 + 5120. List the prime factors of p.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - 0*g. Suppose 0 = -g*o - 4*v - 22, -6*o = -2*o + 5*v + 32. Let j(x) = x - 1. Let r be j(-2). Is o at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 78 = 3*d, -13 - 28 = -i - 2*d. Let o(f) = -14*f + 6. Calculate the remainder when o(-6) is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -1193 + 1253 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 9. Suppose -3*v - 5 = i*f - 4*v, 3*f + 2*v + 17 = 0. Let m(r) = r**3 - 2*r**2 - 5*r + 2. Let j be m(3). Put f, j, -2 in decreasing order.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*j = -0*j + 8, 0 = -4*w - j - 4. Let k(f) = f**2 - 10*f + 9. Let r be k(9). Suppose r = 5*t - 2 - 3. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7105*h - 7144*h + 1209 = 0 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66 - 2 - (-19715600)\/(-308200)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15812 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.1. Let o = -170 + 93. Let q = o - -384\/5. What is the nearest to c in q, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -8. Let n be ((-4)\/(-6))\/((-28)\/294). Let h = y - n. Sort -2, -1\/6, h in decreasing order.\nAnswer: -1\/6, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -22*d - 355. Let n(m) = -48*m - 710. Calculate -13*f(y) + 6*n(y).\nAnswer: -2*y + 355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2*y + 1)*(5*y - 5*y - 2*y**2).\nAnswer: -4*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526*k**3 + k**2 - 1532*k**3 - k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*t + 1617658 = 13*t + 191022. Round t to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let n = -69 + 72. Let o be (-4 + 6)*1*-2 + n. What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836502 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(216\/32)\/9. Let a(s) = 3*s**3 + 8*s**2 + 2*s. Let b(v) = -4*v**3 - 9*v**2 - 3*v. Calculate g*a(m) + 2*b(m).\nAnswer: m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*r**3 - 672*r**3 - 887*r**3 - 188*r**3.\nAnswer: -2253*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, 5 in increasing order.\nAnswer: 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = o + 4*j, 5*o - 3*j = -12. Solve 2*z + o*z = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4 - 37*b**2 + 8 + 14*b**2 + b**3 - 4*b + 17*b**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 + 196*v + 5. Let c be y(-28). Let g(p) be the second derivative of -1\/24*p**4 + 5\/12*p**3 + 13*p + 1\/4*p**2 - 1\/8*p**c + 0. Factor g(w).\nAnswer: -(w - 1)*(w + 1)*(5*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1276 divided by 4\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/8 (b) 2\/111 (c) 4\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55881603 divided by 1123.\nAnswer: 49761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54235 and 10.\nAnswer: 108470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let i(o) = 3*o**2 - o - 4. Let r(s) = 13*s**2 - 3*s - 17. Let v(u) = -9*i(u) + 2*r(u). Calculate the lowest common multiple of v(p) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 91839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34909 is divided by 253?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306054, 612253, 918466, 1224699, 1530958, 1837249, 2143578?\nAnswer: 2449951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 4*l. Suppose l*f = -3*f. Suppose 90 = 5*y - f*y. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594513 is divided by 453?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2\/3, -4 in ascending order.\nAnswer: -4, -0.02, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 77\/2, 4\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 607873358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 52*o**2 - 88*o = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 1, n: 1, e: 1, f: 3}. Give prob of sequence aa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1476.7 + -1477. Let v be (-2)\/(-6) + 86*10\/(-2220). What is the nearest to 0.1 in 2, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 68.3254 hours?\nAnswer: 245971440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:08 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*m**6 - 495833*m**5 - 20104*m**2 - 2*m - 623 wrt m?\nAnswer: -2280*m**3 - 29749980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 2. Let s(f) = -106*f + 49*f + 48*f + 4. What is 2*s(z) + 5*w(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 278649 - 40686 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5\/7 + 4*z**4 + 12*z**3\/7 - 236*z**2\/7 - 416*z\/7 - 192\/7 = 0. What is z?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024013 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475650*z**2 + 1517278*z wrt z?\nAnswer: -951300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)\/sqrt(3) - (sqrt(85)\/sqrt(5) + sqrt(17))*-2 - (sqrt(68) + -2 + sqrt(17) + sqrt(85)\/sqrt(5) + -3 + sqrt(17)))**2 + 2.\nAnswer: 20*sqrt(17) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7096 + 428*d - 7096)*(9 - 9 + 7*d).\nAnswer: 2996*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*w + 105. What is the greatest common divisor of w and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 906, 924, 944, 972, 1014, 1076?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5 + 9015*t**4 - 9012*t**3 = 0.\nAnswer: 0, 1, 3004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 138*p**2 + 1108*p + 8830. Give v(-130).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/1 + -7 + 6. Suppose -8*y = -o*y + 220. Let i = y + -39. Solve -4*l + 2*b = b + 11, 4*b - 22 = i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - 24\/20. Let a be 1\/((3 + v)\/(-2)). What is the closest to a in -0.2, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*w + 3*q, -3*q - 30 = -2*w - w. Let r be (w - -1) + 12\/(-4). Find the second derivative of -17*s + 31*s - r*s - 6*s**3 wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25069186*a**2 - 34947228?\nAnswer: 50138372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201910716 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2446 (base 10) to base 12\nAnswer: -14ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23067 (b) 2\/37 (c) 0.4 (d) -2 (e) -53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u + 1 + 12*u + 7*u - 17. Let v be y(4). Suppose -3*n - 11 + 110 = v. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27810 (base 9) to base 15.\nAnswer: 58dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*j - j - 45, -3*u + 33 = -2*j. Let a = -9 - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 671360*g**2 - 7*g - 283645271 wrt g.\nAnswer: 1342720*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -41, 11, -18, 1 in descending order.\nAnswer: 11, 1, 0, -18, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = 1. Solve -5*b - s = -0*l + l, -4*l - 3 = 3*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = -2*z - 2*n, 5*z = -4*n + 378 + 619. What is the highest common divisor of z and 3283?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*k + 50*k + 11*x - 116, -87 = -3*k - 4*x + 3*x for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 1225*x**2.\nAnswer: x**2*(x - 1225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**2 + 18555*j - 1963090 = 0.\nAnswer: 109, 3602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 72173434 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050531093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20473 - 16044562.371.\nAnswer: -16044562.16627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6*i + 1 = -10*i, 4*i - 65 = -3*o. Let g(f) = -f**2 - 22*f + 361. Give g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3))\/(((x**(-3)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 - 28*h + 28*h + 2*h**2 - 4 + 4 + (-8*h + 2*h + 3*h)*(0 + 0 + 5*h) to l*h**2 + b*h + f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.8 + 74.8. What is the nearest to -1\/2 in -0.1, -5, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 2*z - 2*z**3 - 2 + 2*z**3)*(-z + 3*z**2 + z).\nAnswer: -6*z**5 - 6*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1565.9 - -1566. Let p(g) = g - 7. Let f be p(5). Let s be (6\/16)\/((-3)\/f). Which is the nearest to s? (a) z (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*q + 76*q - 67*q)*(257 + 222 - 425) to a*q + u and give a.\nAnswer: 2808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g + 39. Let s = 32 + 28. Suppose -2*v + s = -g. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 337*b + 332*b + 45, 5*z - 5*b = -35 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 830\/(-249)*(-4)\/(24\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*2*-3. Suppose -34 = -2*c - d, -2*c - 2*d = -4*d - 40. Let n = l + c. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -21 - 49 + 204 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(-6)\/90?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8131 - 0?\nAnswer: 8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/7 + 7551*l**3\/7 + 228621*l**2\/7 + 221463*l + 320922 = 0. Calculate l.\nAnswer: -21, -7, -2, 2547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w + 344 = 0. Suppose -4*f + 6*s + 108 = 2*s, -3*f + w = -4*s. Calculate the greatest common factor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -1\/4, -23\/2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5 = -2*g. What is the smallest common multiple of (1\/3)\/(g\/12) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 + -120012324?\nAnswer: -120013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 98*w + 698. Determine i(8).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -115.865. Round q to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-2 + 0)\/52) + (-1686)\/10116.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -3*w. Let r be 5 - (2 - (1 - w)). Differentiate -2*t - 3 + r*t + 4*t with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 0*a**2 + 50 - 51 - a**2 - a. Let h(n) = n. Determine -2*f(j) + 4*h(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 65.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 973*n = -972*n - 101, 5*n - 109 = 7*w. Let f(s) = -2*s**3 - 44*s**2 + 2*s + 28. What is f(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k. Let c(z) = -21*z**2. What is v(c(y))?\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 4) in base 8?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from accaaccpacppc. What is prob of sequence cccp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/207)\/((-4)\/4)*(-8)\/(-20)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 + -111010110011010011100?\nAnswer: -111010110011001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38045 and -518.\nAnswer: 19707310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 1486496*f + 138104397376.\nAnswer: 4*(f - 185812)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14586\/(-330) - -44) + 18\/(-10) + (-6 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.5288 to 2 decimal places.\nAnswer: 21.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2244 + 2?\nAnswer: -2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/2, 0.19, 5, -2.2, -630 in decreasing order.\nAnswer: 5, 3\/2, 0.19, 0.1, -2.2, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6283*s**2 - 23*s - 27. Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29264 by -6.\nAnswer: 14632\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and 5.83505.\nAnswer: -647.69055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 1, u: 2, y: 1, j: 1}. What is prob of picking 1 x and 2 u?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 4*p**3 + 4*p**3 + (-3*p - p + 6*p)*(-101 + 59 + 88)*(3*p**2 - 2*p**2 - 2*p**2).\nAnswer: -91*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36692, -73273, -109848, -146411, -182956, -219477, -255968, -292423?\nAnswer: -328836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommzz. Give prob of picking 1 o and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421781331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4 + 13. Let f(z) = 20*z - 5 - 22*z - 12*z - 34*z. Is f(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fffcfccccfffcffccc?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 51. Let m be 66\/q - 2\/14. Suppose -2*j + 4 = -j. Solve 0 = m*l - 8 - j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247 - -252. Put -0.2, -2, v, 2 in descending order.\nAnswer: v, 2, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 560*k. Let b = -220 + 92. Let a(o) = 13*o. Let u = 293 + -290. Let r(v) = b*a(v) + u*s(v). Let p(x) = -2*x. What is p(r(t))?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose 0 = -5*z + 10 + 10. Suppose 21 = z*k - 63. What is the greatest common factor of j and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -43 in decreasing order.\nAnswer: 3, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*v + 283*v = 0. Solve v*f = f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 394.9 + -359. Let p = 124 + -87. Let z = p - j. Round z to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Is v\/((-2800)\/(-935) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(143)*-5 + sqrt(143))*-5)\/((sqrt(33) + sqrt(33)*1*4)\/(sqrt(84)\/sqrt(7))))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - t**3 - 2 + (560*t - 560*t - 18*t**3)*(-5 + 3 + 4).\nAnswer: -37*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12887, -3, -173, -1, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1130 + 222*w - 1130)*(8*w**2 - 4*w**2 + 0*w**2).\nAnswer: 888*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 20 = -2*v + 2*v, -4*k = 8*v - 7 - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfffffttft. What is prob of sequence tftt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1964, 3926, 5886, 7844, 9800, 11754, 13706?\nAnswer: 15656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*w = -15, 5*h + w = -5 + 10. Which is smaller: h or 2\/16557?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245627 times 0.2\nAnswer: 49125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 12*q - 207 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.058 > -6\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*p**3 + 112*p**4 - 54*p**4 - 59*p**4 + (173 - 173 - 13*p)*(-2*p**3 + 0*p**2 + 0*p**2).\nAnswer: 25*p**4 + 31*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*o + 745 + 134, -5*k - 879 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (375\/(-325))\/(24\/2184)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*u**3 - 3*u**2 - 61*u - 3.\nAnswer: -612*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/(-4))\/(33\/(-110))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -222434?\nAnswer: -222436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16498888.5124544847700358 - -0.0824551047700358. Let z = -16498889 - s. Let t = z - -0.57. Round t to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y + 3*x = -9, 6 = -y - 2*x. Suppose y = 3*m - 0 - 6. Solve 0 = 5*f - 3*u + 5*u - 15, f + m*u = 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 - 48.45.\nAnswer: -52.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.321 + 0.32137. 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: Let p = 2 + 5. Let j = 11 - p. What is the second derivative of 0*x**4 + 3*x - x**4 + 3*x**j wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 31 = 9. Suppose -9 = 7*x - 86. Suppose 0*g = 4*o + g - x, 5*o = -3*g + 12. Solve 5*b - 2*h = 1 - 2, b + o*h - p = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 3, w: 13}. Give prob of sequence wwn.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7252*q**2 + 87020*q + 48.\nAnswer: -4*(q - 12)*(1813*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:17 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 6*m - 21 = 0. Suppose -5*y + s = 2*s - 3, 2*y + 3*s - 9 = 0. Let z(h) = 4 + y*h - h**3 + 0*h + 3*h**2 - h. Give z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4111.445454946 - -0.295284946. Let m = q + 4119.15. Let x = 8 - m. Round x to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13378.\nAnswer: 2, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 10*d. Let t(i) = -i**3 + i. Give -3*t(y) + z(y).\nAnswer: 2*y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 3.9994872056?\nAnswer: 7.9994872056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let f(z) = 3179179*z. Give m(f(t)).\nAnswer: -6358358*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8 + 59 - 32*f - 1 - f**2 - 7 - 64. Determine l(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2 + 44*w**2 - 95*w**2 + 50*w**2 - 4*w + 3 + 9*w**3. Let i be (-10)\/(140\/21)*(-2)\/1. List the prime factors of v(i).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 13}. Give prob of picking 3 b.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -261, 1\/2, 0.53, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23330120 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7488.1955739 - -7488.2. Round u to five dps.\nAnswer: 0.00443","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(55)\/sqrt(11) - (((sqrt(20)*-3)\/sqrt(4))**2 - sqrt(5)).\nAnswer: -45 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 0\/1. Let a = 7286 - 7285. What is the biggest value in b, a, 3\/7, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + (-584)\/40 - 53\/45. Which is the third smallest value? (a) 2\/13 (b) q (c) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 151.5.\nAnswer: -151.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1393 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2502010 + -3?\nAnswer: 2502004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -3943443?\nAnswer: -3943437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 64. Let l = v - 50\/3. Which is smaller: l or 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2 + 2\/(-1)). Suppose 0 = -3*o + 6*o + 2*j - 2, 4*j + 18 = 5*o. Let s**4 + 8*s + 144*s**2 - 73*s**2 - m - 77*s**o = 0. What is s?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - m**2 + 0*m**2)*(-16280*m + 13*m**2 - 321 + 16284*m - 12*m**2) as v*m**4 + t + f*m**2 + r*m**3 + p*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*2*(-35)\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62213*d - 62216*d + 3*b - 30 = 0, -381*b = 2*d - 470 - 4872 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3929, -15663, -35217, -62591?\n\"Answer: -3910*f**2 - 4*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((324\/(-42))\/9)\/(10\/(-35)). Let j(a) be the first derivative of 3 + 1\/18*a**h + 1\/18*a**6 + 1\/6*a**5 + 0*a**2 + 1\/6*a**4 + 0*a. Factor j(c).\nAnswer: c**2*(c + 1)**2*(2*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + b = 11*k - 3, 2*k = -3*b + 7. Solve -13*o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 628864461 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.6 + -17.6. What is the nearest to 0 in u, 0, -5, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-12)*z**(1\/5)\/(z*z*((z*z**(2\/9))\/z)\/z*z) assuming z is positive.\nAnswer: z**(269\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 0, -45, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 11280300*n + 22560620.\nAnswer: -5*(n - 2256062)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1227*h + 297*h**2 - 469*h**3 + h**5 - 14295*h + 1612*h**3 + 67*h**4 = 0. Calculate h.\nAnswer: -33, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62987, 126049, 189111, 252173, 315235?\n\"Answer: 63062*f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 1033*t**2\/2 + 77744*t - 3183978.\nAnswer: (t - 861)*(t - 86)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/4)\/w))**(-5\/6)*w\/(w*w**(2\/7))*w\/(w**(1\/4)*w*w))**(11\/5) assuming w is positive.\nAnswer: w**(-5533\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 280*j**2 - 126*j - 26. List the prime factors of g(-9).\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39916, 4, -5 in increasing order.\nAnswer: -5, 4, 39916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5453024 + 1523?\nAnswer: 5454550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 5*q - o, -5*q + 24*o = 21*o - 31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1348, 5279, 11838, 21025, 32840, 47283?\n\"Answer: 1314*i**2 - 11*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = -n + 29*c + 31451, c + 3 = 0. List the prime factors of n.\nAnswer: 2, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 61.51\nAnswer: 861.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/120 + 2*p**5\/15 - 7*p**4\/24 + 7*p**3\/6 + 29*p**2. List the prime factors of u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 2*m - 102, 4*m = -3*l + 181. Let o = l - 20. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + -2 + (-1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1868 - 1861. Solve 0 = -5*t + 3 + g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 286*b**3*i - 189*b**3 wrt i.\nAnswer: 286*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.38 + -0.34. Let l = -11.96 - r. Let t be 1\/(-4) - -2 - 2. What is the closest to t in 0, l, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.397 - 0.297. Let w = z - 14.1. Which is the closest to 1\/4? (a) 2\/23 (b) w (c) -2\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 14 = 3*u - 53, -12 = 4*z. Let g(v) = -v + 9. Suppose -2*r = 3*t + 26, 9 = r - 4*t - 0*t. What is the lowest common multiple of u and g(r)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (14 - 73 - -27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a + 66 = 56*a. Let u(x) = 4*x**2 - 86*x - 44. Let h be u(a). Which is greater: -1\/331 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2375 (base 9) to base 5\nAnswer: -24034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s. Let w be -1 - (-21 + 0)\/(-3). Let c = w - -8. Let t(b) = 2*b**2 + c*b**2 - 4*b**2 + 0*b**2. Determine t(d(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7561367, 15122727, 22684099, 30245489, 37806903, 45368347?\nAnswer: 52929827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 2*w - 1. Let b be x(-2). Suppose 5*d = -5*a - 45, -23 = b*d - a + 8. Let o = -7 - d. Solve -7 = 5*r + 3, -2*s + o*r - 4 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47230974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -70*j**3 - 4*j**2 - 14*j - 74. Let u be f(-5). Suppose -13*x + 2*x = -u. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 + 3*r - 4. Let f be v(-3). Suppose -2*h + 245 - 95 = 2*w, -4*w = -f*h - 318. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.048 - -0.362. Let a = v + -2.31. Let j = 1.8999955 + a. What is j rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 304.9609 decades?\nAnswer: 3049.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 228999778 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w - 23*w = 14*w - 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.2. Let i = 98 - 15. Let k = -247\/3 + i. Which is the nearest to 2? (a) 1\/4 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-8))\/((-1)\/(-2)). Let r = 162 - 171. Is f equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171588 divided by -57196\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 300*y - 310*y + 3700. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, 15, -10, -0.1 in ascending order.\nAnswer: -10, -0.1, 0.5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 2481729*x\/2 - 26058228 = 0 for x.\nAnswer: -7445208, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26461*p - 115*p**3 - 26465*p + p**2 + 105*p**3 to g*p**2 + w*p**3 + j + b*p and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 633 = -8*n + 645, -n + v - 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31373666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:54 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 + 244 = -3*p - 4*v, p = -2*v - 8 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 1\/22, -0.03 in descending order.\nAnswer: 4, 0.5, 1\/22, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppkgppqpqkkkpnfk. What is prob of picking 1 k and 1 p?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 6*d**2 + 3*d. Let t(j) = -5*j**3 - 6*j**2 + j + 1. Let h(u) = -2*t(u) + 3*v(u). Determine h(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2529 from 14921.\nAnswer: 12392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/5 + 190244*s\/5 + 9048194884\/5 = 0.\nAnswer: -95122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + 2. Let j be i(4). Suppose 92 = -8*z - 316. Let v = z - -176. Calculate the highest common factor of j and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940839037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.67, 2, 1029 in decreasing order.\nAnswer: 1029, 2, -0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 2517, 5646, 10017, 15624?\nAnswer: 22461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -421441 <= -421581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11346690 is divided by 6974?\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*u**3 + 19?\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:10 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -44*g**2 - 252*g + 550. Let f(o) = -5*o**2 - 28*o + 61. Let z(a) = 52*f(a) - 6*p(a). Solve z(n) = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2120 and 18.\nAnswer: -38160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 91 + 53. Let l be 10\/3*54\/45. Suppose 2*y + 19 = 2*f + f, 28 = l*f - 2*y. Calculate the highest common factor of f and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -0.27, -2, -21.42 in increasing order.\nAnswer: -21.42, -2, -1, -0.27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w**(-1\/16) assuming w is positive.\nAnswer: w**(-97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 + -29 + 0 + 1 + 212. Let b(i) = i**3 + i**2 - i - 124. Let v be b(0). Let g = v + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*t - 1068*t + 2982 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4899 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16152 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 5*f**2 - f. Let m = 82 - 82. Let t be n(m). Which is the nearest to t? (a) -5 (b) 1\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -34359.\nAnswer: -171795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -75*k**2 - 75*k**2 - 166*k**2 + 142*k**2. Let s(t) = -7*t + 4. Let o(c) = -5*c + 3. Let h(p) = 4*o(p) - 3*s(p). What is h(l(q))?\nAnswer: -174*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Suppose -5*q + 18 = -4*i - 9, i = -5*q + 12. Let x = -176 - -177. What is the remainder when q is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3464438.4 to the nearest 1000.\nAnswer: -3464000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = -1, 5*a + y - 5 = 0. Suppose -5*f + 60 = 4*k, 7*f - 63 = 4*f + 3*k. Let r(o) = o**2 - 18*o + 28. Let z be r(f). Sort a, 3, z in ascending order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*h - 8, 22*h - 10 = -2*j + 28*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3280\/(-12) - 0)*9000. What is y rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -2230, -7685, -18306, -35815, -61934, -98385?\nAnswer: -146890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 53*s. Let t(a) be the third derivative of -19*a**4\/6 - 266*a**2 + a. Give m(t(g)).\nAnswer: 11552*g**2 + 4028*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96909824783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 247?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2881*d + 1. Let r(w) = 2883*w - 1. Determine -5*a(i) - 4*r(i).\nAnswer: 2873*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818865?\nAnswer: 3, 5, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26190 and 6?\nAnswer: 26190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*d + 1904 + 7 = -4532 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) -53 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Is 10 - f\/(0 + -2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44078357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/9243210 and -31\/315.\nAnswer: 194107410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*r, 2*y - 2*r - 7 = -7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 692 = 647. Let h(d) = -d**3 - 8*d**2 + 7*d + 13. Give h(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3024, -4281, -5538, -6795, -8052, -9309?\n\"Answer: -1257*l - 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)*v*v**(1\/7)*(v\/v**(-1))**(19\/4)*(v*v**1)**(4\/3)*(v*v\/v**(2\/5))\/(v*v**2) assuming v is positive.\nAnswer: v**(4897\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -758*v. Let g(c) = -185*c**2 - 1. Calculate g(y(b)).\nAnswer: -106294340*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/45 - (-9 + (-66)\/(-10)). What is the nearest to 1 in 21, o, -7\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46703669289908 take away -4?\nAnswer: -46703669289904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-4796)\/654?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/238 and -41\/11662.\nAnswer: 11662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195227009 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1053*n**3 + 2*n**2 - 5457*n?\nAnswer: -6318*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -6555 + 6575 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(40)\/(sqrt(50)\/sqrt(10))))\/(sqrt(40)*5 - (sqrt(10) - (sqrt(90) - sqrt(10))*6)).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*f + 12, 5*f + 5*h + 18 = 4*f. Suppose 0*v - v + 7 = c, f*c - 5*v = 0. Suppose i - 4 = -i + r, -2*r = c*i - 28. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**3 + 12*z**2 - z + 4. Let o(k) = -7*k**3 - 6*k**2 + k - 2. Let s(q) = 6*d(q) + 11*o(q). Let t be s(-5). Let h be t\/11 + (-26)\/22. Is 0.1 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + (2 - 2))*-1. Let t(b) = 3*b**2 + 20*b - 5. Let x(d) = d**2 + 9*d - 2. Let j(k) = 2*t(k) - 5*x(k). What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*2 + sqrt(117)))*-6)\/(-5*sqrt(9)*2))**2.\nAnswer: 6877\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/162)\/(((-80)\/(-3))\/(-4)). Let l(p) be the third derivative of 1\/72*p**4 + 0 - m*p**5 + 1\/9*p**3 - p**2 + 0*p. Let l(b) = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 25*n + 128. Let b be l(-18). What is the nearest to 2\/9 in 0.041, b, -0.1?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -89, -147, -221, -317, -441, -599, -797?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50610 - 74423. Let w = -13846 - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91266 or 91257?\nAnswer: 91257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -252838941 and 0.1.\nAnswer: -25283894.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 284100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.983 times -2\nAnswer: 7.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 580?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 60?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -729*l. Let c(w) = 6*w - 4. Give k(c(m)).\nAnswer: -4374*m + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*z - 65, 2*y = -y - 2*z + 125. Calculate the remainder when y is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116323.94 rounded to the nearest 100?\nAnswer: 116300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95 * 1.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22*i**2. Let d(u) be the third derivative of -u**5\/10 + 5048*u**2. What is q(d(y))?\nAnswer: 792*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2*f**3 - 163*c**2*f + c*f - 1977*f**3 - 2*f - 6 wrt f.\nAnswer: -30*c**2*f - 11862*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 10*a**2 - 27*a - 760. Determine s(-10).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1573) + 1 + sqrt(1573)) - sqrt(1573))**2.\nAnswer: 330*sqrt(13) + 39334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3374 + -2499. Calculate the smallest common multiple of b and 9.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 6*g**2 + 2*g**2 + 2*g + 7*g**2. What is l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15466 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125308869 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843632 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17204 and 19\/14468.\nAnswer: 62226868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0164 and -0.241.\nAnswer: -0.0039524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 72232*r - 3464832.\nAnswer: -(r - 72184)*(r - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v + 6*v)*(-20 + 4 - 4)*(3*v**3 - 2*v**3 - 2*v**3).\nAnswer: 160*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63162, -1.1926, 1\/2.\nAnswer: -63162, -1.1926, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 - 249. Let z = 24 + -27. List the prime factors of 1\/3 - o\/z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 452133 and 2277?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let a be q(4). Let p be 10*a\/3*27\/18. Let z be (-27)\/(-1)*(-4)\/p. Are z and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209182 rounded to three dps?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 109. Let k be o(-37). Let w(b) = -b**2 + b - 1. Let h(y) = -y**3 + 2*y**2 - 10*y + 2. What is k*w(q) - h(q)?\nAnswer: q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -61, -56, -49, -40?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 2 g when four letters picked without replacement from {o: 1, g: 2, w: 1, p: 1, j: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20012 - 1718. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/10 + 12*(-4)\/(-120). Suppose 9*i - 1109 = -q + 4*i, 0 = -q - f*i + 1110. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 263376.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26174729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-6)*o*o)\/o*o*o*o**(-2)\/o*o)**(-4))**(-30) assuming o is positive.\nAnswer: o**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 64878348*a - 526150004901138 = 0. What is a?\nAnswer: 16219587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19340.1 from 9131889.\nAnswer: 9112548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 85?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - 4\/(4\/(-3)) - -3. Let d(k) = -6*k**3 + 4*k + 2. Let q(b) be the third derivative of b**4\/24 + b**3\/6 + b**2. Let g(w) = d(w) - 3*q(w). Give g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 105. List the prime factors of z\/(7\/(-292)) - (-18)\/9.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*13\/13?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 66 = 21*d. Calculate the lowest common multiple of -2 + 8 - (-59 - (-1 - d)) and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u**2 + 2*u. Let c(n) = 11*n**2 - 3*n. Let o(b) = 4*c(b) + 6*q(b). Let i(v) = 2*v**2. Determine i(o(g)).\nAnswer: 512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 106*n - 9 + 7 in the form c + h*n and give h.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 5 - 3 + l**3. Let z(o) = 1 + o**3 + 15*o**2 - 15*o**2. Give -n(v) + 2*z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 1. Let s = 511 - 510. Let p(z) = -3*z**2 + 10*z - 1. Let k(c) = -c**2 + c + 1. Let o(w) = 6*k(w) - p(w). Determine s*o(n) - 4*y(n).\nAnswer: n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 5. Let u(i) = 603904*i - 603919*i - 11 + 0. Give 5*o(b) + 2*u(b).\nAnswer: 10*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25155117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5042189 to the nearest integer?\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597*n + 1612*n + 75 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 922169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3209607 * 0.02.\nAnswer: 64192.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3972 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*f = 427*f - 1280. Solve 4*z + 25 = 3*g, -56*z + f = -61*z + 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 2. Suppose 3 = 4*g - 3*g - h, 5*h = -g + 15. Suppose c + g = 4*z. Solve 3 - 6 = z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8)\/(2\/8). Let u be (-5)\/(-8)*f*24. Let c = -10 + u. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -218*c**2 - 6*c + 5. Let u(r) = -629*r**2 - 17*r + 14. Calculate -11*j(m) + 4*u(m).\nAnswer: -118*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 + -251. Let w(m) = -m**3 - m**2. Let l be w(0). Is l at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 443563.\nAnswer: 26\/443563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 7. Suppose 2*a - 10 = 0, -5*v - 4*a + 0 = -45. Suppose -v*q + 0*q = -5. Let h = 1 - q. Calculate k(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 199. What is the remainder when 211 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 18, y: 1}. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 133.917124593+-8.4\nAnswer: 125.517124593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 21. Let s be l(4). Suppose 5*z - 2*h - 590 = 0, -5*z + 506 + 69 = -s*h. What is the highest common factor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 + 18*d**2 + 24. Let g be m(-4). Let q be (8\/(-12))\/((-6)\/(-27)). Put g, q, -1 in ascending order.\nAnswer: g, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.71052519 rounded to 2 decimal places?\nAnswer: -10.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 59.9917. What is d rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z - 34*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 283. Let j = -142 - d. Let f(u) = 6 + 5*u + 2*u + u**2 + 2. Determine f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 23*c - 238. What is the derivative of -19*x + c*x + 2 + 7 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)\/(((w\/(w\/(w*w*w**(-3)\/w*w*w*w))*w)\/w)\/w*w*w)*w**(2\/9)*w*w**(5\/6)*w assuming w is positive.\nAnswer: w**(73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12 + 28\/(-120)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 208*f**2 + 17*f + 47353. Determine s(-209).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105061, 105063, 105061, 105055, 105045, 105031, 105013?\n\"Answer: -2*v**2 + 8*v + 105055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 9*a - 236 = -32. Suppose 4 = 2*m - m. Suppose -9 = -m*x - 1. Solve a + 4 = x*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/180 + v**5\/60 + v**4\/8 + v**3\/6 + 2*v. Let a(j) be the second derivative of n(j). Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*0 + 0. Let r(d) be the third derivative of 2*d**2 + 0*d**5 + 2\/3*d**3 + 1\/30*d**6 + 0*d**4 + j + 0*d. What is the derivative of r(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*r = 266, 0 = -h - 2*h + 3*r + 282. Suppose 3*g + h + 50 = -5*z, 2*z = -2*g - 60. Let x = z + 111. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/(-70)*-7.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*f**2*k*p + 10*f*k**3 + 4*f*p + 2*k**3 - 66*k - 4*p - 12 wrt f?\nAnswer: 18*f*k*p + 10*k**3 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 66. Suppose -3*d - j = -4*u + 14, -20 = 2*d - 4*u. Suppose 0 = -4*f + 36 - 104. Is d at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2717272, -5434490, -8151720, -10868962?\n\"Answer: -6*b**2 - 2717200*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - 1) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6063223264.00000046 + 6063223314. Let t = k - 50. Round t to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153933*i**2 - 307829*i**2 + 153895*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*z - 75956 = -471*z - 36*z - 506*z for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:19 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-4) + (-2 - -1*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2\/3*c**3 + 1\/4*c**4 + 0*c**2 + 0*c - 4. What is the third derivative of j(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 64. Suppose 0 = h*b + k - 5*k - 26, 0 = -4*k - 20. Suppose 0 = 5*c + 5, 3*d + b*c - 1514 = c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*a + 6 - 1 + (2 - 6 + 2)*(-2*a - 2*a + 6*a) + a - 3*a + 4*a - 4 + 4 + a - 5*a + 5*a - 4*a + (-1 + a + 1)*(-1 - 2 + 1) as l*a + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -28*c + 59. Suppose c*w = 64*w - 255. Calculate the highest common factor of w and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ggmhmug?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0348 and -4959962.\nAnswer: -4959961.9652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/5 + 17442*z**2\/5 - 21376971*z\/5 - 11977790484\/5 = 0. Calculate z.\nAnswer: -412, 3113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 0*l**2 + 711*l - 372*l - 378*l.\nAnswer: -2*l**2 - 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehjhhehhfhmmeheh. What is prob of sequence eeeh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/14 and 20\/(-168) + -3 + 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -101?\nAnswer: 6\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/((-10)\/(-15)))\/3. What is the units digit of 1*r*(-13 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44976446 or 89952889\/2?\nAnswer: 44976446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025394 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**25)**10*((p*p**(-1\/5)\/p)\/p*p*p)\/p*p**(-18\/11) assuming p is positive.\nAnswer: p**(13649\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/6 - 2*w**3 - 211*w**2. Calculate t(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Let g(y) = 3*y - 15. Let t(s) = 3*g(s) - 45*i(s). Let d(v) = v. What is t(d(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160\/949 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let i(g) = 26*g + 3*g - 27*g + 4. What is 3*d(o) - i(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -273*k - 443*k + 716*k - 1497*k**2 as s*k**2 + n + b*k and give s.\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19838 and 29974?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5002876, -5002885, -5002908, -5002951, -5003020?\nAnswer: -5003121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 103, 91, 79, 67?\n\"Answer: -12*o + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 207*z**2 - 2779*z - 8003. Calculate d(87).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -99974*w + 3399136. What is v(34)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005276858278 rounded to five decimal places?\nAnswer: -0.00528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2132.7974 from -1182207.\nAnswer: -1184339.7974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b + 39. Let q be i(9). Let v be (-3)\/((-2 + -2 - -5)\/q). What is the highest common divisor of 45 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188578.\nAnswer: 2, 631, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 59. Suppose -9*x + 6*x = -h. What is the remainder when 83 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94537 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c - 123. Let n(m) = -7*m + 2*m + 0 - 7 + m. Let l be n(-12). What is the highest common divisor of c and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5748 - -5754. Put f, 1, -2, -4 in ascending order.\nAnswer: -4, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5603588 tonnes to nanograms.\nAnswer: 560358800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -4738?\nAnswer: -4738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 1. Let u(k) = 93*k - 54. Calculate the remainder when u(1) is divided by b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 33. Let i = -553 - -277. Let z = -122 - i. What is the highest common divisor of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-209)\/(-11))\/(-19)*1\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2331851 + 0.2\nAnswer: 2331851.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/330)\/((-6)\/90).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*c = -479*c - 10. Let s be 4\/c - -1 - 1403\/230. What is the biggest value in 5, s, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23174, 46356, 69534, 92708?\n\"Answer: -2*g**2 + 23188*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*t + 141 - 171, -2*t - s - 1 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4505 - (-3)\/12*-28. Is y\/(-64) + (-1)\/2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-3))\/(2\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Let l = -2 + j. Let k(b) = 4*b**3 - 4*b**2 + 2*b. What is the tens digit of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/2 (b) -12.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12*i**2 - 31*i - 31. Give g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let l(c) be the first derivative of 596*c**3\/3 + 9*c + 5746. What is f(l(a))?\nAnswer: 596*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2871 = -2*u + y - 26, 2*u - 7*y = 2815. What are the prime factors of u?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*x - 20 - 35, o + 4*x = 28. Solve o*u - 26 = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4137, -4156, -4175?\n\"Answer: -19*a - 4118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 841278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1512?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.3 - -184. Let s = 21.299948 + u. What is s rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 36\/198 - 678\/(-22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2586, 10381, 23374, 41565?\nAnswer: 64954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2304530172?\nAnswer: 2, 3, 7, 23, 79, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109209832 divided by -27302458.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - y - 7*y + 12*y - y**2. Let t(n) = 7*n**3 - 2*n**2 - 2*n. Determine -2*p(x) + t(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - -2. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 11. Let p be w(6). Suppose 0 = p*j - 6 + 1. Which is the closest to j? (a) -2 (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) -1\/347 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**4 + 10*h**3 - 17*h**2 - 2*h. Let r(o) = 16*o**4 + 29*o**3 - 52*o**2 - 7*o. Let j(y) = -7*k(y) + 2*r(y). Factor j(u).\nAnswer: -3*u**2*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45223001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -9 - (12 + -15 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -311012 (base 5) to base 14\nAnswer: -399a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 74. Let m = 37 - k. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170999, 1368286, 4618113, 10946750, 21380467, 36945534, 58668221?\n\"Answer: 171045*p**3 - 28*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 4. Let v(t) = 10*t**2 + 3862. Calculate -2*d(h) - v(h).\nAnswer: -2*h**2 - 3870","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3 - -11) + (8 - 12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.13 - 21. Let p = w + -2.03. Let i = p + 1.56. What is i rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/(-684)*9)\/((-15)\/(-480))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 251.7724 litres?\nAnswer: 251772.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 7*c - 5*r - 9605, 4*c + 4*r - 19196 = 0. Suppose w = -w + c. What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -11*g + 3*g - g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-240)\/64)\/(1\/(-76)). Suppose 4*f + d = 541, 4*d = 5*f + k - 956. Do f and 136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234368370 divided by -2?\nAnswer: 117184185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**5*h - 3*d**5 - 4*d**3*h - 43*d**2*h + d**2 - d*h wrt d?\nAnswer: -180*d**2*h - 180*d**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i**2 + 49*i**4 + 455 - 7*i**2 - 15*i**4 + 5*i - 5*i**4 with respect to i.\nAnswer: 116*i**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, 6, -12179954, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -68, -107, -150, -197, -248, -303?\n\"Answer: -2*z**2 - 29*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 176, 293, 430, 593, 788, 1021, 1298?\n\"Answer: m**3 + m**2 + 93*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4506301?\nAnswer: 4506301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 640 - 2*m + 473 - 1115. Let z(r) be the second derivative of r**3\/6 + r**2\/2 - r. Calculate -4*a(b) - 7*z(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -o + 40, -3*o - 12*y = -13*y - 104. Solve -22*h = -27*h + o for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76335.\nAnswer: 3, 5, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.01 - -6. Let o = 1.99 - u. Let m = 13 - 18. What is the smallest value in m, 3\/7, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*p + p - 9, -p - y = -5. Suppose 5*d + 0*d = p*j + 28, 5*d + 2*j = 16. Suppose o - 3*k = -3*o + 57, d*o - 2*k - 54 = 0. Which is bigger: o or 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.465 + 1.865. Sort 0.01, -18, -3, m in descending order.\nAnswer: m, 0.01, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 24*n + 204. Let y(t) = t**3 - t**2 - 1. Let b(v) = -8*v**3 + 4*v**2 - v + 6. Determine n*y(l) + b(l).\nAnswer: -2*l**3 - 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23858 + -20427. Which is bigger: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221030 - -1?\nAnswer: 1221031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 + -439. Let q = -444 - i. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/2070*-1035 + -1*3*-1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 677718512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124986, -124987, -124988, -124989, -124990, -124991?\n\"Answer: -o - 124985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/87517626 and 77\/10.\nAnswer: 437588130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808002154 to the power of 1\/3, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let x(u) = -2 - u**3 + 0 - 2*u**l + 0*u**2 + 1. Let m = 4 - 6. What is x(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -206, -36, 130, 292, 450?\n\"Answer: -2*b**2 + 176*b - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(8*3\/96)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 bigger than 709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)\/(1\/(-1)). Let n(x) = 7*x + 1. Let r be n(q). Solve -12 = 5*k + r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*1*11\/(616\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 10. Suppose 0*u - 28 = 4*u. Let y(l) = -l + 7. Let z(t) = -4*t**3 - t**2. Suppose g + 4 = 5. Let j be z(g). Give j*h(o) + u*y(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -38, -166, -366, -644, -1006, -1458?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590218 and 9073?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4165223118?\nAnswer: 2, 3, 7, 59, 1680881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/((-138)\/(-72))*-1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3813, -3815, -3817, -3819, -3821, -3823?\nAnswer: -3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*10\/15 - -4. Let f(w) = i*w - 7 + 7. Let s(t) be the third derivative of t**4\/24 + 3*t**2. Determine s(f(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 101\/21258?\nAnswer: 101\/21258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 42 = -3*i. Calculate the highest common divisor of i and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802033143 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 3. Let o = 26 + -29. Determine v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -22379*y - 134257. Determine k(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3839 + 0.3839. Is o less than 6693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -143721*i + 3311. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 536087 by -1468.\nAnswer: -536087\/1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from ssrsrrrssfs.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/21, -1\/36, 1\/7, 4\/11, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0137 + 2.7563. Let h = -29.85 + 32.6526. Let s = x - h. Round s to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346\/117 + 15827\/5031. Calculate the common denominator of 55\/301 and a.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, h: 1}. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 8*i + 104, 5*d + 378*i + 114 = 375*i for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11)*-3*-5 + 0.\nAnswer: -3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*(-1)\/(-80)). Let o = -25 + j. Suppose 8 - 6*h**3 + 6*h**2 + 2*h**3 + 3*h + 3*h**3 - o*h = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*f - 212*f - 396*f + 108*f.\nAnswer: -1335*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 7. Let j(h) = h**2 + h**3 + 0*h**3 + 0*h**f - 2*h**2. Let o(i) = 0 + 1 + 8*i**3 + 4*i**2 - 11*i**3. What is -4*j(u) - o(u)?\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + -101 - (-1 - (-47 + 1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 2, 3, 66 in decreasing order.\nAnswer: 66, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s + 6 = 0. Let l be 0 + s - (-3 + 2). Let -4\/3*y**l + 1\/3 - y = 0. What is y?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4464 divided by 372\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-546)\/16 - 0. Let u = 36 - v. Let z = 14.2 - 17.2. Sort u, -0.1, z in descending order.\nAnswer: -0.1, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -43, -73, -109, -151, -199?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106555 is divided by 1591?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1122?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0 = 15. Let v(l) = 12 + 10*l + 2*l - 2*l. Let t(w) be the second derivative of 2*w**3\/3 + 5*w**2\/2 - w. Calculate f*v(y) + 12*t(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*y**2 - 138*y**2 + y**4 - 7*y**4 + 308*y + 61*y**2 as r*y**2 + n + c*y**4 + t*y**3 + s*y and give s.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 252341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -301?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(3\/18). Suppose -f - 25 = -l*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547 = -2*n + 1267. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 - 178*a**4 - 520*a**3 - 344*a**2 = 0. What is a?\nAnswer: -86, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 take away -1293?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -896 divided by 4?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 333030333301?\nAnswer: 333030333310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 404 and 156419306?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + u + 9 = 0, -2*u + 4*u = -2*f. Suppose 4*p - 112000012 = 4*m, 5*p = -f*m + 7187017 + 132812974. What is p rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/24070 and -129\/98120.\nAnswer: 236174840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= 23883\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 6. Let c(q) = q + 6. Let i(z) = 4*c(z) - 5*h(z). Let w be (-75)\/9 + 2\/(-3). Let m = w - -5. Let s(f) = -2*f - 11. Give m*s(x) + 7*i(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5791865 by -60967.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*q + 85, 4*q + 27 = 2*v - 59. Calculate the remainder when v is divided by -7*(-3)\/(2 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(32)\/(sqrt(20)\/sqrt(5)) + sqrt(8))*-2 + -2 + 4.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 3. Let z be (-43)\/((28\/a)\/7). Suppose m = z - 51. Does 45 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -41. Let f(n) = -6*n**2 + n. Let z be f(2). Let r = a + z. What is the remainder when 25 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and -17\/426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s + 6. Suppose 3*g - 3*f - 7 = 29, -3*f = 3*g - 24. Let p be z(g). Let b = -39 - p. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(66\/(-8)) + 156324\/(-20471) - 17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 2. Let o(w) = -w + 1. Let c(v) = 12*v - 8. Suppose b + 8 = 9*b. Let u(l) = b*c(l) + 10*o(l). Determine -6*k(a) + 4*u(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, -5\/6, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 716.\nAnswer: -715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - 0.2. Let p = d - -0.5. Let i = -759.5 - -760. Which is the third smallest value? (a) p (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2915 is divided by 480?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215171806 a multiple of 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 162*d + 94. What is s(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12685439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 180\/54*(-9)\/6. Let t be 2*(0 + (b - -4)) - -2. Solve t*r = -r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 - -9 - (-4 + -15 - -4 - -3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/331600 and 19\/145904.\nAnswer: 3647600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -4, -1, -104\/9 in descending order.\nAnswer: -1, -4, -104\/9, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 0.3 (c) 5 (d) -0.6245 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-6)\/(-1*(-8)\/(-1))*87\/783).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + k + 69, 60 = -2*g - 6*k + 8*k. Which is the nearest to -5\/6? (a) 0 (b) g (c) -0.5 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6. Let w be u(-5). Let x = w - 19. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 21 = 23. Suppose -l + 15 = s - 27, -4*s = -5*l - 150. Calculate the greatest common factor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 5, g: 2}. What is prob of picking 2 i?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 1 - 19)*(a**4 - 2*a**4 + 0*a**4) to r*a**2 + l*a + k*a**3 + g*a**4 + h and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/60)\/(14\/(-5))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.23, 6, 37, 3\/7, 23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63819974119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 455800872 to the nearest integer?\nAnswer: 21349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t - 5*d + 100 = 0, -20 = t + d. Find the common denominator of -38\/129 and t.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*o**2 - 348*o**2 + 130*o**2 - 465*o**2 to w*o**2 + a + k*o and give w.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-4)\/(-1))\/((-6)\/4). Let t(m) = 3*m**3 + 4*m**2 - 1 - 2*m**2 - 3*m**2. Calculate the remainder when 35 is divided by t(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**3 - t**2 - 2*t + 2. Calculate a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2787*b - 9956.\nAnswer: -2787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -258.78.\nAnswer: -260.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 128301.879 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340.6 - -341. Which is the biggest value? (a) -1 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130000 (base 4) to base 5\nAnswer: -142023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6576 and 504.\nAnswer: 138096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126638 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -32 + -15 + (-9 - -31).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = -125*b - 87*b - 3960 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 12 (b) 0.1 (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -2 (c) 0.5 (d) -2\/13 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r + 17. Let y be o(0). Suppose 5 = -5*u, -5*l - y = -10*l - 3*u. Suppose 0 = 4*w - 2*v - 154, -l*w + 117 + 42 = -3*v. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*t = -8, 3*x - 8 = 228*t - 232*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {c: 4, y: 6, t: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*z - 1332 = -3620 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwllllwlkwjwkwwkk. Give prob of sequence llj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 13*x = -5823. Suppose 26*p - 28*p = -54. Calculate the remainder when x is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -45*j + 7. Let m = -64 - -63. Let d be a(m). Let f be 42\/28*d\/6. Calculate the highest common divisor of f and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-545*t**3 + 27*t - 77*t + 50*t)*(-7*t - 2*t - 3*t) to the form u + z*t + h*t**4 + q*t**3 + g*t**2 and give h.\nAnswer: 6540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -10.05?\nAnswer: -10.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**6)\/p**(2\/9)*((p*p**(2\/15))\/p)\/p*p*p**(2\/3)*p)\/((p*p\/p**(-2\/13))\/p*p*p\/(p*p**5\/p)*p*p)**(-48) assuming p is positive.\nAnswer: p**(2318\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.59 + 0.09. Let o = 4 - 4.1. Let x = o - -0.1. What is the nearest to x in -0.2, -5, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -44*j + 310 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4921 take away 1045?\nAnswer: -5966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/66 and 3155*(-4)\/82368 - (-146)\/949.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14064578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 99455*z**2 - 996*z - 48. Let t be h(32). What is t rounded to the nearest 1000000?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1659960 divided by -12\nAnswer: 138330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f + 918 = -290*f - 1962 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 57*v + 120. Let g = 305 - 299. Does 8 divide u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023993?\nAnswer: 2023993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3}. Give prob of sequence ki.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*b + 3*a, 7*b - 3*a - 7 = 5*b. Suppose -2*y + p + 5038 = 0, b*p - 10682 = -5*y + 1943. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13268957 is divided by 173.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(((v*v\/(v*v\/v**0)*v)\/v)\/v*v*v))\/v*v)**(-17\/2)\/(v**(-5)*v**(-6)))\/((v**4\/v**0)\/((v**(-2\/5)\/v)\/v)**(6\/31)) assuming v is positive.\nAnswer: v**(1013\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2766.8 - 2767. Let n = 3.5 - 4. Let f = 0.31 - -0.09. What is the third biggest value in 0.2, q, f, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 17*t**2 - 21*t - 5. Does 19 divide k(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.0462, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 0*f**3 - 11*f**3 - 4*f**3 + (2*f**2 - 5*f**2 - 8*f**2)*(f + 4*f - 3*f) + 1 + 3*f**3 - 1.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3944, 3947, 3952, 3959, 3968, 3979?\n\"Answer: j**2 + 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f**3 + 9*f**3 + 80*f**3.\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3375*u - 37407 = 19968 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466087005?\nAnswer: 3, 5, 23, 173, 58073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4980185 and 2660.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 13. Let m be 407\/(-9) - y\/36. Let x = 181\/4 + m. Which is the closest to 1? (a) -3\/7 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.003, -3, -8\/7 in decreasing order.\nAnswer: 0.003, -8\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 0*i**2 + 3*i**2 + (1 - 4 + i + 1)*(-i - 6*i + 0*i) + 4*i**2 - 2*i**2 + 0*i**2 as g*i**2 + y + j*i and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/8 - 5*k**4\/24 - 5*k**3\/12 + 5*k**2\/4 + k - 24. Let v(p) be the first derivative of d(p). Find j, given that v(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -102. Suppose -5*t + 50 = 5*d, 4*t - 50 = -t + c*d. Let p be 42\/t - 11\/55. Solve -7*z = -3*z - p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-314 - -2) + 80\/20. Is -308 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -5*w - 19*b + 440494, 0 = 4*w - b - 352397. What is w rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h\/(h*h\/(h**13*h))*h)*h**21 assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 - -28.38. Let s = -15 + c. Let a = s + -13.9. Which is greater: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 504\/(-280)*10\/(-3). Suppose -g = -d + 1. What is the remainder when 47 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 280.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93712760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - 3*z**3 - 9*z**2\/2 + 2*z + 6.\nAnswer: -(z - 1)*(z + 2)**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 653*o - 102831. Determine m(-265).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 648\/7*l + 0 + 18\/7*l**2 + 2\/7*l**4 - 4*l**3.\nAnswer: 2*l*(l - 9)**2*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 5*p - 7. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4087)\/(-61))\/(-335)*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10032021 - 20?\nAnswer: -10032101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/300*10*-3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 + 9*s**2 - 4*s - 4. Let h(o) = 8*o**3 + 9*o**2 - 5*o - 5. What is 5*a(d) - 4*h(d)?\nAnswer: 3*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 2*t - 2*t to c*t + n and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3838 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = -6, -5*a + 5*u = 85. Let b be (-24)\/35 - 4\/a. Let f(i) = 3*i - 28. Let y be f(11). What is the closest to -2\/3 in 3, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 11 - 7. Solve -2*o + 5*o + 4*g - 3 = 0, -3*g - 19 = -c*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 158 = p, -a + 2*p - 5 + 41 = 0. Let n be 8\/(-14) + 282\/(-21). Let r = n + a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112)*2)\/(1*sqrt(12)\/sqrt(3)))\/(-6*sqrt(196)*1*-5).\nAnswer: sqrt(7)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24785 + 1249*v - 1240*v + 49560 - 24775.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 3*q + 3*q + 358*q**4 - 56*q**4 + 265*q**4 - 2*q**4 - 2*q**4 + 2*q**4 + (4 + 0 - 2)*(2*q**4 - 2*q**4 - q**4).\nAnswer: 562*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:31 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - (-23)\/3. What is the units digit of (0 - 8)*(-16)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 8 = -n. Suppose -5*q - n = 3. Let g(f) = 3*f**2 + 5*f - 3. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 8. Let a(b) = 4*b + 0*b**4 - 4*b**3 - 3 + 9 - 2*b**4 - 4*b**2. Let r(u) = -u**3 - u**2 + u + 1. Let s(n) = l*a(n) + 6*r(n). Factor s(f).\nAnswer: 2*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -497 + 274. Let f = y + 222.9. Which is the nearest to 1? (a) -3\/2 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -478787086 bigger than -478787086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10*3\/285)\/(-4). Let i = -750\/11 - -68. What is the second biggest value in i, k, 1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - (0 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 115 = -50*z, 4*z = -p - 405 + 376 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43540.56 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -9, -10 in ascending order.\nAnswer: -10, -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2 - 267\/18)*122\/((-42944)\/660)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683241422 to the nearest integer?\nAnswer: 26139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -30*t + 1. Let z be m(-2). Let r = z - 37. Suppose 5*y - r = 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/76)\/((-66)\/48).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -68, -102?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5183*u**3 + 1302*u**3 + 1266*u**3 + 1301*u**3 + 1304*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -42*c - 164. Let q be f(-4). Let o(z) be the second derivative of 0*z**2 - 1\/6*z**3 + 7\/60*z**6 + 0 + 11\/24*z**q + 8*z - 2\/5*z**5. Factor o(m).\nAnswer: m*(m - 1)**2*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-14)*w)\/(w**(-3)*w))\/(w**(-2\/9)\/w*w**(4\/7)))**(2\/5) assuming w is positive.\nAnswer: w**(-1304\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -37. Suppose 2*q - f*q + 15 = 0. Suppose 2*n + 3*j - 43 = 0, -q*n - j + 101 = -n. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1\/5, -156, -4\/27, 1\/4 in ascending order.\nAnswer: -156, -16, -4\/27, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3347*c - 98 - 108 + 206)*(-3*c + 3*c - c**2) in the form w*c**2 + t*c + j + q*c**3 and give q.\nAnswer: -3347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*o - 18, 54*o = 51*o - u + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114250724 a multiple of 3382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.45784t to micrograms.\nAnswer: 25457840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-1\/2)*t)*t)**(-14)*t**6*t**5)\/(t\/t**(2\/11)*t**(-5\/3)*t**7*t**(-2)) assuming t is positive.\nAnswer: t**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85812 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*5\/((-10)\/4). Let a = t - -37. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 59*s**2. Let c(v) = 3*v**2. Calculate l(c(z)).\nAnswer: 531*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxvzrvwzvtr. What is prob of sequence trw?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((550\/(-120))\/(-11))\/(20\/32).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from grgrrgrrggigi.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/8 + 60021*p**4\/2 - 4562625*p**3\/8 + 2161269*p**2\/4 = 0. What is p?\nAnswer: -80047, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3 - (-55)\/20). Suppose t = 3*q + 2*t + 5, x*t + 20 = 0. Let v be 1 - (30\/(-14))\/(-3). Is q less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76063 - 50362. What are the prime factors of w?\nAnswer: 3, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**2\/2 + 36731*w\/6 - 583\/3.\nAnswer: -(w - 583)*(63*w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/((-138)\/42))\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4460 divide 865659240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 5*w, 4*w - w - 18 = -b. Sort 38, -2, w, -5 in descending order.\nAnswer: 38, w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(102)\/sqrt(384) - (-1 + sqrt(833) - sqrt(17))) + (5*sqrt(2448)*-1 + sqrt(2448))*3.\nAnswer: -1193*sqrt(17)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057404 at least as big as 3057427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 1 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335 + -20099\/60. Let a(p) be the third derivative of c*p**5 + p**2 + 7\/24*p**4 + 0 + 2\/3*p**3 + 0*p. Calculate a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 12786.\nAnswer: 102288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 106351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7454530904 to the nearest 1000000.\nAnswer: 7455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13921 divided by -603\nAnswer: 13921\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*k + 5 = -1, -a = -4*k. Find the common denominator of 14\/3 and ((-5106)\/148)\/((-1)\/(a\/54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 2. Let v(q) = 9*q + 8 + 15*q - 25*q. Let s be v(8). Let k be z(s). Solve -k*n - 20 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893 times -26?\nAnswer: -49218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -417836940*g**3 - 180218546*g wrt g?\nAnswer: -2507021640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 16 = -2*u + 2*p, 0 = 3*u - 3*p - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 5*t**4\/4 + 2*t**3 + 6*t - 843. Let k(z) = -4*z**3 - 5*z**2 - 5. Determine 6*k(m) + 5*n(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 2*s - 7. Let i be m(-3). Suppose -z - i*z = -12. Solve 5 = -z*h + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 2 t when four letters picked without replacement from {t: 2, g: 1, l: 1, u: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94112963 and 107557672.\nAnswer: 752903704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let l be (h\/(-4))\/((-3)\/(-42)). Let y(t) = t - 2. Let s be y(l). Put s, -1, 4 in decreasing order.\nAnswer: s, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -324974009, -649948020, -974922031, -1299896042, -1624870053, -1949844064?\n\"Answer: -324974011*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-1))\/(5\/15). Let x be ((-4)\/(-12))\/(4\/m). Which is the closest to -1? (a) 1 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/4 (c) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w - 4*w)*(-1 - 3 + 6)*(-w + 0*w - w) + 11*w**2 - 16*w - 64*w**2 + 7*w.\nAnswer: -29*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - 101. Let f = 15 + p. Let c = -1984\/7 - -283. Put -0.4, c, f in descending order.\nAnswer: f, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:22 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/3)\/l*l)**14)**(-25) assuming l is positive.\nAnswer: l**(-2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 + -2 - (21 + -24)) + 37\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 2*q - 2*q)*(924 + 837 + 1431 - 75) in the form j + c*q and give c.\nAnswer: -6234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/9 - 17219*o**4\/3 - 413119*o**3\/3 - 8519687*o**2\/9 - 1388354*o = 0. What is o?\nAnswer: -51633, -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 1. Suppose -i = 5*u - 26, 3*u - 4*i - 11 = -0*u. Let r be v(u). Let d = r - 7. Is -3 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5636572 - 5636531.000092. Let r = g - 41. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 51*k**3 - 5*k**2 + 33*k - 11. Let y be n(-7). Round y to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -4 (c) 1 (d) -19 (e) -1 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 8*q**2 - 8*q - 7. Let t(w) = -2*w**2 - 8*w - 13. Let f be t(-3). Calculate y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(972))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*0\/9 + 672. Sort -1, 5, m.\nAnswer: -1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) - (-62)\/8. Suppose -3*v - 8 = 2*f - f, -5*f - n = 4*v. Calculate the highest common factor of 3 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 850*v\/7 + 49128\/7.\nAnswer: 2*(v - 356)*(v - 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(1 - (4 + -1)). Let w(m) be the third derivative of 0 + 0*m**3 + 1\/480*m**6 + 4*m**2 + 0*m**x + 0*m**4 + 0*m. Factor w(a).\nAnswer: a**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7197 divided by -6.\nAnswer: -2399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = -2*u - 5, 0 = 5*u. Let m be 2835\/555 + 5*-1. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73655*d**2 - 8*d**3 - 73656*d**2 + 147311*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (386 - (3 + -3)) + -2 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14841 and 102?\nAnswer: 29682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2605\/25 - (-1)\/(-5). Let j be s\/56 - 1\/(-7). Factor -3 + 6*x - 4*x**2 + x**j + 3.\nAnswer: -3*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1\/40*i**5 - 25*i**2 + 19\/24*i**4 + 20\/3*i**3 + 5 + 7*i. Solve s(z) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3702\/(-8) + 0. Let s = d + 461. Find the common denominator of 145\/18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 5 - (1 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {r: 1, d: 2, s: 4, w: 1, x: 2, y: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4525 minus 1?\nAnswer: -0.5475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -2.2, 4\/19 in descending order.\nAnswer: 5, 4\/19, -2.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 7*f + 3. Let x be l(7). Suppose 3*k - 4*k = -x*t - 63, 29 = -t + 3*k. Let h = t + 28. Solve 3*r = 6, -q - 3*r = h - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b491213 + 5?\nAnswer: 1b491218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -caa1d (base 15) to base 10\nAnswer: -643528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001100 - -10011010100011?\nAnswer: 10101000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let p(f) = 2*f - 4*f + 2*f - 2*f**2 + 1. What is j(o) + p(o)?\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432943 is divided by 758.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 - 21*j - 8. Suppose -4*q + 7*q = 27. Let x(k) = -3*k**2 + 10*k + 4. Let n(o) = q*x(o) + 4*y(o). Calculate n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 21. Let i be j(-17). Let a = -7 - i. Find the second derivative of -a*w**5 + w**5 + 0*w**5 - 4*w**5 - 8*w wrt w.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 65*u - 20. Solve u*m - 17 = -42 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:38 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)\/(l\/(l\/(l\/(l\/l**(-10))))*l)*(l\/(l\/(l**(2\/5)*l)))**(-1\/38))**(-20\/3) assuming l is positive.\nAnswer: l**(-10408\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8213578, 2, 1 in descending order.\nAnswer: 8213578, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-340 - 234 - 93)*(3*c - 3*c + c).\nAnswer: -667*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/17 + 137\/221. What is the common denominator of -38 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74169856?\nAnswer: 2, 31, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**3*u**3 - 6*b**3 - 3*b**2*u + b*u**2 - 304*u**5 - 697*u**2 wrt u.\nAnswer: -60*b**3 - 18240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 + (-51 - (-84 - -89))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 856\/(-176)*2 - (7 + -5 - 11)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s, 0 = 3*w + 11*s + 5754 - 5826 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77722727?\nAnswer: 23, 3379249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.969958?\nAnswer: 2.030042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/(u*u**(-1\/9)\/u))\/(u\/u**(-2\/5))**5)\/((u**(-3)*u**(3\/5)\/u)\/((u*u**5*u)\/(u\/(u\/(u**(2\/5)\/u*u))))) assuming u is positive.\nAnswer: u**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p + 6. Let a be p\/(72\/75 - 1). Let g = 189 + -179. Calculate the greatest common divisor of a and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3)*106)\/((-4)\/(-6)). Let j = n - -63. What is the lowest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:55 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3543 + -2570. What is the highest common divisor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s = 34*s - 2205. Which is the nearest to 1? (a) 4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*n - 0*n. Let t = n - 12. Suppose -o + 20 = -t*z, 14 = 3*o - 2*o + z. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 1*(-3 - 1)*-1. Let k(n) = 8*n - n**2 - 8 + 5 + 2*n - j. What is k(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 56*t - 1. What is p(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141764 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: Expand 102*m - 102*m - 122*m**2 + (-m + 4 - 4)*(2*m - 6*m + 3*m) - 64*m + 64*m - 10*m**2.\nAnswer: -131*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(1*sqrt(28)\/sqrt(4))*5)\/(-3*(sqrt(66)*2)\/sqrt(11)*6).\nAnswer: -5*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 258*m**2 - 3 - 4 - 9 in the form j*m + l*m**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61553450 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 30*g**3 - 770*g**2 + 311*g - 21. Let n(f) = 10*f**3 - 255*f**2 + 106*f - 6. Let j(z) = 7*n(z) - 2*u(z). Factor j(q).\nAnswer: 5*q*(q - 24)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/13 (c) -5\/16 (d) 2 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/48 and 21\/104.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(1291 + -1311)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183475465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = 58 + 86 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4.38323492\nAnswer: -3.38323492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*1*3)\/(sqrt(72)\/(sqrt(27)\/sqrt(3))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/((-28)\/70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*p - 14, -82*p - 3*o = -83*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5953, -5956, -5961, -5968, -5977?\n\"Answer: -r**2 - 5952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87171.966ns to hours.\nAnswer: 0.000000024214435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.07, -2\/3.\nAnswer: -2\/3, 0.07, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = 2*w, 12 = 7*w + 80*k - 77*k. Solve -5*v + 24 + 11 = -4*j, 3*j = -4*v - w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2. Let x(c) = 3*c**2 - 11. Let d(r) = 2488*r**2 - 6842. Let b(h) = d(h) - 622*x(h). Give b(f(s)).\nAnswer: 9952*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vhnvvvnvvnnvvnnvvv?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33167811*c**5 - 1731576*c**2 - 12*c wrt c.\nAnswer: -1990068660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -43\/2. Let i(v) be the first derivative of -l*v**2 - 1 + v. Differentiate i(t) with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12339537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -36125*y**6\/18 - 2295*y**5 + 140*y**4 - 20*y**3\/9 - 1754. Find x such that p(x) = 0.\nAnswer: -1, 0, 2\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11657 - 11538. What is the remainder when 206 is divided by f?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 9. Let f be m(3). Let w(r) = -f*r - r - 2*r + 2*r. Let p(x) = 3*x. Calculate p(w(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -14. Let d(r) = -r**3 + r**2 - 1. Let m be d(l). Let a(x) = -52*x**3 - 2*x**2 + 1. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4415550 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Suppose -4*n + 16 = q, 0 = 5*n + 2*q - 23 + h. Let s = -3.5 + 3. Which is the smallest value? (a) s (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 - 4 = -5*n, 3*n - i = 9. Suppose l = 6*l + 160. Let a = 35 + l. Solve -15 = n*g + a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 4796*d**2\/13 - 220800*d + 5760000\/13.\nAnswer: -2*(d - 2)*(d + 1200)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4459899*q + 3705019 wrt q?\nAnswer: 4459899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t**4 + 29051880*t**3 - 4688973431960*t**2 + 6251925840160*t - 2083970976080 = 0. What is t?\nAnswer: 2\/3, 322798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210706821.\nAnswer: 3, 13, 1800913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 536, 1038, 1698, 2516, 3492?\n\"Answer: 79*c**2 + 107*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 16155*c**2 + 28998225*c - 17350604625.\nAnswer: 3*(c - 1795)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**2 + 150*s + 1523. What is the thousands digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26754 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 631 - 631.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3534 + -1972. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -50039.\nAnswer: 42\/50039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.05 - -0.05. Let o be (-8)\/12 + 12\/27. Let j(z) = -z**2 - 55*z - 337. Let n be j(-7). Which is the third smallest value? (a) -5 (b) n (c) r (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 + 6\/(-2). Suppose -s = -c + 2. Suppose -2*w - c*w = -180. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 1:53 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41248886?\nAnswer: 2, 7, 19, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617454479?\nAnswer: 29, 90257051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1616\/30 - (-16)\/120. Find the third derivative of 51*i**3 - 32*i**2 + 56*i**3 + a*i**3 + 0*i**4 - 168*i**3 - 9*i**4 wrt i.\nAnswer: -216*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1))**(1\/6))**(-47))**(38\/3) assuming u is positive.\nAnswer: u**(893\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**3 + l - 99*l**4 + 98*l**4 + 0*l to r + d*l**3 + p*l + b*l**2 + g*l**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 6826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ococoocoooooooo. Give prob of picking 3 o and 1 c.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/16210000 and 29\/405250?\nAnswer: 16210000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 11*a - 6. Let o be p(5). Let u be -1*(o\/3)\/(-4). Let m be 1\/1*u\/4. What is the closest to m in -3, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k = 66*k + 5. Suppose 3*q + 4*o - 6*o = 45, -k*o = q - 32. Let g(a) = -a**3 + 13*a**2 + 18*a + 28. What is the remainder when g(14) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 - -0.22. Let c = 21\/11 + -127\/55. What is the fourth smallest value in 0.3, c, a, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1 + (-1 - 2 + 4)*(4 - 1 - 2))*((-6 + 4 - 1)*(0 + 1 + 16) + (-1 + 2 - 2)*(-1 + 3 - 1))*(-2*a - 2*a + 0*a) in the form c + d*a and give d.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -28. Suppose 66 = -q*s + 12*s. What is the remainder when 41 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*i - 206*i - 804*i to z + t*i and give t.\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 735*x**3 + 1430*x**2 = 0. Calculate x.\nAnswer: -11, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + 7 + -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 4*v + 2. Let w(h) = h + 9. Let b be w(-5). Let l be (-2)\/b*2\/(-1). Let p = 3 - l. What is f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1118 by -1118.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35372 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 54*n + 1. Let c(w) = -2*w**2 - 21. Let z(m) = m**2 + 14. Let t(d) = 2*c(d) + 3*z(d). Give p(t(a)).\nAnswer: -54*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (69 - 52) + -4 + 0 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s = 51*s - 12. Suppose -s*f + 95 = -69. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = 4*t - 15, 0 = -3*d + 15. Suppose t = 3*c - 209 + 5. Suppose -c = -5*p + 132. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2 + 222*b - 111*b - 110*b - 11. Let k(r) = r**3 - 7*r**2 + 7*r + 1. Let m be k(6). Suppose 3*p + q - 16 + m = 0, 0 = 5*q + 15. Determine c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -220173 and -15.\nAnswer: 3302595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 0*r)*(-3*r**2 - 3*r**2 + r**2 - r) + (-2*r - r + 5*r)*(11*r**2 + 8*r**2 - 40*r**2).\nAnswer: -32*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14725)\/(-682) + (-12)\/11. Let k(x) be the first derivative of -20 + j*x**2 + 0*x. Let b(t) = 2*t**2. Determine b(k(s)).\nAnswer: 3362*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4\/5 - 21912*l**3\/5 + 263244*l**2\/5 - 965568*l\/5 + 1053504\/5 = 0.\nAnswer: -7316, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y + 8*y + 7*y + 13*y - 44*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 417, 593, 541, 261, -247, -983, -1947?\n\"Answer: -114*o**2 + 518*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133376 + -63837. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*s = 4603, -3*s = -2*g - 4*s + 2309. Let w = -372 + g. Suppose 4*d + w = 5*u, 2*u + 5*d - 286 = d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbccbcccccbbb. What is prob of sequence ccc?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42300 and 46906?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(147))*4 + 3 + sqrt(147) + 2 + sqrt(147))**2.\nAnswer: 84*sqrt(3) + 5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-7)\/((40\/(-8))\/(-5)). Let u(y) = -62*y - 11. What is the hundreds digit of u(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:17 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-182)\/104)\/(35\/(-8)). Let 2\/5*g**3 - 2\/5 + 2\/5*g**2 - w*g = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26630869 to the power of 1\/2, to the nearest integer?\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - s**2 + s**3 + 12*s**4 - 1083671 + 1083635)*((-1 - 2 + 1)*(4 - 2 - 3) - 2 + 0 + 1).\nAnswer: 12*s**4 - 2*s**3 - s**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 176*a**4 + 364*a**3 + 184*a**2 = 0. Calculate a.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 0. Let i(s) = -6*s - 4. Give i(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 297692*m + 6 + 297695*m.\nAnswer: 3*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 85. Suppose -4*f + 44 = 3*j, -2*f + 4*f = -j + 18. Solve 3 = -g + b, -l*g + 3*b = g + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 16. Let c(g) = -g + 25. Let i be c(r). Suppose -734 = -i*b + 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -3*l**8\/560 + 7*l**6\/360 - 10*l**3\/3 - 2. Let p(s) be the third derivative of h(s). Find the third derivative of p(u) wrt u.\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*(-90)\/(-3060)*-51?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.53*-5\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 5*v**4 - 4*v**4 + (-v**2 + 0*v + 0*v)*(-3*v**2 + 2 - 2) + (-3*v**2 + 3*v - 3*v)*(-5*v**2 + 4*v**2 + 2*v**2).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b - 358. Give k(-23).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.15 + 3.15. Which is the closest to 0.1? (a) -2 (b) 3 (c) j (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-33)\/(-6))\/(1\/((-10)\/20)))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -610\nAnswer: 4\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051381559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**4 - 30*h**3 + 60*h**2 - 40*h = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 168583086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*c - 19. Sort -11, -3, c, 0 in descending order.\nAnswer: c, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/13, 2, 5, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 + u**3 + (1 + 2*u - 1)*(0*u**2 + 5*u**2 - 6*u**2) + (2*u**2 + 1 - 1)*(-2*u - 2*u + 3*u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7326 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(18\/(-120)). Suppose 3*d - 2 - u = 0, 5*d - 235 = -5*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*u = 112, -993*o - u = -989*o - 88. Solve -3*q + 4*d - 19 = 0, -4*q = -0*q - 4*d + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 220877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118924 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 - 8*g + 7. Let r(i) = -21*i + 36. Let h be (1\/(-2))\/(1\/(-4)). Let q be r(h). Let k(v) = -3*v**2 - 7*v + 6. Calculate q*k(p) + 5*x(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 9. Let q = -52 - -54. Suppose q*f - 5*f + 30 = 0. Suppose 0 = 3*k - 5*k - f. Determine p(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 164?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 7:47 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from {z: 2, j: 4, v: 2, u: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(539) - (sqrt(539) - (sqrt(539) + 3)) - sqrt(539)) + sqrt(539))*5)**2 - (sqrt(99)\/sqrt(225) + (sqrt(704))**2)*6.\nAnswer: 3494*sqrt(11)\/5 + 9351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 1. Let t(q) = -7*q + 8. Let k(p) = 6*i(p) - t(p). Let y(j) = -2*j + 6*j - 6*j + 2*j - 3*j. Determine y(k(n)).\nAnswer: -3*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:07 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, -5757, 275, -3.\nAnswer: -5757, -40, -5, -3, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -4. Let b be (u + 1)\/2 - -7. Calculate the greatest common factor of b and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*h = h - 42814, 0 = -3*y - 2*h + 42808. Is 58 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1761, 3546, 5343, 7158, 8997, 10866, 12771?\nAnswer: 14718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 10. Suppose q - 31 = 4*i - g*q, -20 = -4*q. Let r be i\/6 - 20\/15. Is r at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - j**2 - 3*j + 132 - 135. Let k(s) = 3*s**2 + 2*s + 2. Give 3*k(w) + 2*r(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 89705.56 meters?\nAnswer: 89705560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -0.66. Let a = -0.1 - 0.1. Let n = b + a. What is the second smallest value in 0.3, 1, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1)*(-25)\/2. Let b(o) = -2*o**2 - 6*o + 13. Let a be b(-4). What is the highest common factor of a and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1993*b**5 - 1050*b**5 - 7557*b**5)*(4 + 1 - 3).\nAnswer: -13228*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108296616 and 15?\nAnswer: 541483080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26792463 divided by -86707.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**3 - 115*b**2 - 40*b + 6. Calculate o(-19).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1554 - 1553.2. Which is the third smallest value? (a) 0.5 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068234.\nAnswer: 2, 3, 226013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2 + 2 + (0*n + 0*n + 2*n**2)*(-2 + 3 - 2) + 12*n**2 + 5*n**2 - n**2)*(4*n + 4*n + 5*n).\nAnswer: 156*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 47152?\nAnswer: 141456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553\/8 - 69. Let p(v) = -4*v**3 + 2*v - 3. Let l be p(1). What is the nearest to 1 in l, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*n**2 + 0*n + 0*n)*(-2*n + 3*n + 0*n) + (n**3 - n**3 - 2*n**3)*(2 + 2 - 2) to the form d + y*n**2 + c*n**3 + a*n and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 2*j**2 - j**2 + 67*j**2 + 63*j**2 - 193*j**2 + (-4 + 4 + j)*(-j + 3*j + 0*j) + (1 - 1 - 2*j)*(0 - j + 0) as u*j + t + v*j**2 and give v.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p - 3 + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*b**6 - 21*b**4 - 6063*b**2 wrt b.\nAnswer: -10320*b**3 - 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 21*h - 35. Let s be i(3). Calculate the highest common factor of 640 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 36332\/7. Let u be (-1 - 1)*b\/(-6). What is u rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 820180 and 275540.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 136419 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1494468 and 1494469 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122222130 - 10032?\nAnswer: 1122212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 357503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2221768 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1246 + 73?\nAnswer: -1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 16, 4, 1\/11, -0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 10*w - 10. Determine x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:45 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -81353?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3944 - 3185 = 11*o. Calculate the remainder when 935 is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -208, -255, -320, -409, -528?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b + 3. Let d be (-1)\/(-4) - (-30)\/8. Suppose d*f + 6 = -2. Let p(c) = 4*c + 1. Calculate f*t(w) + 5*p(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 48*v**2 - 6*v - 3*v - 5*v.\nAnswer: -48*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3048*p**3 - 2607*p**3 + 5657*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 240. What is the tens digit of 394\/6 + 65\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, -0.1, 1\/10, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 69*k - 417600 = 0. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -18 + 34 + -26.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 6*t + 6. Let c be y(-5). Let o(r) = 3*r**2 - 87*r + 632. Let b be o(14). Solve -c = -s + b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 129.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - -92. Let j = -83 + a. Suppose 81 = m + 4*f, -m + 3*f + j = 6*f. What are the prime factors of m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130728 by -16341.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(104))\/(sqrt(8) - -2*-2*sqrt(8)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1\/(2\/(-290)). Suppose 0*y = -4*y + n. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/176*(-22 + 14).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 - 21*u. Suppose 11*k = 8*k + 21. Let l be b(k). Solve 0 = -4*d - l*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18*22)\/(41\/(-123)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17146 divided by 1\nAnswer: 17146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.2 - 124.3. Let o = k - -173. What is the fourth biggest value in -3\/7, -2, 20, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*n - 243*n - 236*n - 252*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2118*d + 53 + 2*d**2 + 2118*d to y*d + h*d**2 + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.3 (c) -1\/5 (d) -22409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 6 + 6 - 9*o as l + h*o and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -165, -181, -213, -267?\n\"Answer: -x**3 + x**2 - 2*x - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = -3*p - 5*i, i + 2 = -3*p. Suppose 0 = -4*l - 3 + 51. Let h be (l\/8 + -2)*-4. Solve p = -2*x - h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llahhcclhmhm. Give prob of sequence hcah.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3256*p + 3162*p - 1504 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 1. Let n(h) = -h**3 - 14*h**2 + 44*h - 117. Let j be n(-17). Determine a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 20*c. Let o be (3\/28*-4)\/((-1)\/7). Let g(k) = -k**2 - 20*k. Let p(t) = o*r(t) + 2*g(t). Determine z, given that p(z) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-336)\/45 + (-2)\/(-3). Let s = -7 - z. Let q = -3.1 - -3. What is the nearest to q in 1\/5, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12721, -25405, -38049, -50653, -63217, -75741?\nAnswer: -88225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 2*f**2 + 1. Let z be s(-1). Let y be (z + 2)*1 + -1. Differentiate -y*g**3 - 2 + 0*g**2 + 0*g**2 + 2*g**3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757 = -6*h + 179. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 1894 + 680. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 5*y**8\/336 - 2*y**7\/21 + y**6\/6 + y**5\/6 - 25*y**4\/24 + 5*y**3\/3 - 17*y**2 - 2. Factor j(h).\nAnswer: 5*(h - 2)*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1385, 1368, 1325, 1244, 1113, 920, 653?\n\"Answer: -2*n**3 - n**2 + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*p + 10, 4*p + 24 = 4. Suppose -s*l + 9 = -0*l. Suppose 0 = -l*j - j + 124. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 16. Let y(t) = -4*t + 7 + 8*t - 5*t + 6*t**2 + t**3. What is y(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78566906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 101, -3\/5, 6, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150.5 + 150. Let c be (-18)\/8 - 2\/(-8). What is the nearest to -1 in -2\/11, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5738*u**3\/3 - 14275. Let n(s) = s**2. Calculate q(n(a)).\nAnswer: 5738*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3923*k + 785*k - 6644*k.\nAnswer: -9782*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-24)*-8*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = 4*s. Let j be -1*(-1)\/(-2)*0. Solve -2*f - 5*x = -j*f + 12, -s*f - 2*x = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 + y + 3. Let a be k(4). Let l(r) = -11*r**2 - 213*r + 681. Let t be l(3). Are a and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -632107 divided by -13\nAnswer: 632107\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = -8*m. Suppose -4*t = -m*p - 17, 0*t + 3*t - 5*p = 14. Let b = -6 + t. Sort -5, b, 4 in increasing order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, 0.04, -1129?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3415 or -3523?\nAnswer: -3415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94.35780371134 and 22.\nAnswer: -72.35780371134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-2 + -1*sqrt(18)\/sqrt(2))\/(-6*(sqrt(3) - sqrt(243)*4 - sqrt(3))))**2.\nAnswer: 169\/15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8269?\nAnswer: 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*i + 10 = 0, 7*q - 5 = 4*q + i. Sort -1, 2, 3, q.\nAnswer: -1, q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374813 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 238 = -15*k + 3*i, -184 = -3*k + 5*i. Let j = 5 + 5. What is the remainder when k is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -17*j + 4. Calculate s(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1485.25 times -1\nAnswer: 1485.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*z + 33, 2*z + z = -o + 17. Suppose -3*k = -8*k + 2*g + 107, 46 = 2*k - z*g. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*r**3 - 3268*r**4 - 33*r**3 + 123*r**3 - 35*r**3 - 2 - 21*r**3 + 2577*r wrt r?\nAnswer: -39216*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5230.\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 4*w - 8 = 0, 4*p - 4*w = 32. Suppose 3*g - 4*a + 4 = -0*a, g + p = 3*a. Solve -2*l - 2*l + g = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 6*q**2. Let n be u(6). Suppose n*o - o = 2. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/21 + 40 - 3*3 - 632\/3640?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193865014*m**4 - 354508112*m**2.\nAnswer: -4652760336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 34*l - 41*l. Let v(p) = 89*p + 6. Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 14626*o**3\/3 + 9*o**2\/2 + 8*o + 21. Let b be r(-8). What is b rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39672358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w + 20. Let s(v) = 4*v - 7. Give -3*c(i) - 8*s(i).\nAnswer: 4*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(2448) + -4.\nAnswer: -6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - (-19 - -15). Suppose -5*p - 4*h = -5165, z*p - 3*h + 0*h = 5165. Suppose 5*t - p = -378. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1077182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 259414 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + -67. Let n = g - -594. Is 49 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*432\/(-220) - (4\/8)\/(18\/(-72))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/321008688 and 19\/37466?\nAnswer: 321008688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + (1 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*s, -84*g = -88*g - 5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.3 - -21. Let a = 15 + -9. Sort a, u, -0.2 in decreasing order.\nAnswer: a, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-591*c**2 + 281*c**2 - 240*c**2)*(c**2 + c**2 - c**2) in the form l*c**4 + q + m*c**2 + j*c + z*c**3 and give l.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19645528 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -4 + 1 + -2. Suppose -4*n - 2*f + 14 = 0, x*n + 5*n - 1 = 3*f. Calculate the remainder when 71 is divided by (15 - -5) + (-4)\/n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 139, 177, 213?\n\"Answer: -t**2 + 43*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8033.39315369 + 8000.69315. Let o = s - -32.7. What is o rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7983, 16073, 24197, 32355, 40547, 48773?\n\"Answer: 17*k**2 + 8039*k - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20238887785 plus 0?\nAnswer: -20238887785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 6. Let h be k(6). Let q = h + -2. Let p be 52\/10 + q\/10. Solve -16 = p*u - 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllrlrr. What is prob of sequence llr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 - 124734*p\/5 - 1122849\/5.\nAnswer: 3*(p - 41587)*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3925*s - 50 + 45 in the form r*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-18 - -35) + -19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0272 - -6?\nAnswer: 5.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*(-24)\/(-768)*6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 315688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2263, -4528, -6809, -9118, -11467, -13868, -16333, -18874?\nAnswer: -21503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58555 - 154022 = -59*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8892088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 4 = 9*d. Suppose -4*u + 4*z + 32 = -u, d*z = -5*u. Let g(v) = 18*v + 4. What are the prime factors of g(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.309533 kilograms?\nAnswer: 309.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -190.3. Let j = -11.7 - o. Let s = 2 - 1.8. Sort s, -6, -3, j in descending order.\nAnswer: j, s, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x + 2*k - 125 = 0, 0 = 2*k + 6. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 - 25096*k**3\/3 + 250810*k**2\/3 - 626900*k\/3.\nAnswer: 2*k*(k - 12538)*(k - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.16 + 1.1. Let y = 0.04 - c. Which is greater: y or -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(-17)*b)))**(-1\/14)*(b**(-5))**(-32) assuming b is positive.\nAnswer: b**(2221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363682 and 5368?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + w. Let p(v) = -5*v**2 - v + 57. Calculate -2*h(n) - p(n).\nAnswer: -n**2 - n - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/860 and 21\/820?\nAnswer: 35260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 5. Let m(u) = 6*u**2 - 8. Let x(v) = 8*d(v) - 5*m(v). Let g(h) = h**2. Give g(x(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dod when three letters picked without replacement from {f: 2, c: 4, d: 4, o: 1, h: 2, q: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1758*y - 587*y - 616*y - 587*y as h + o*y and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 8*s**2 + 2 - 23*s**2 - 1 to w*s**2 + j + b*s and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -86960 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*v = -20, -5*a - 5*v + 95 = -0*a. Suppose -6 = 2*y - r - a, 0 = 2*y - 2*r - 14. Let m = 3 + -1. Solve -3*k = -y*q + 19, 4*q - q = -m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -21*x**2\/2 - 60*x - 31. Calculate the remainder when v(-8) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-12))\/u*u*u)\/((u\/u**7)\/u))**(-18) assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 + 24 = -2*r, 15355*r - 15351*r + 5*n = 134 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -3990.\nAnswer: -3994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 22*y**2 + y - 20. Let w be m(22). Suppose -w*v - s = -1059, 0 = 5*v + 3*s - 275 - 2375. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326474831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12202 in -2, 1.1, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*t - 12. Let i be (t\/(-8))\/(4\/24). Is -2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 212?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1) + (-44)\/(-2). Let x = a + -16. Let b = -3 - -8. Solve -x*h - b = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/5 != 4301.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5114196 divided by 3.\nAnswer: -1704732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*x - 74 - 23, 5*v + 5*x = -145. Let f = v - -27. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 33*d - 263. Give q(25).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1083463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7573 + 1276. List the prime factors of y.\nAnswer: 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (3\/(-7) + (-1017)\/(-462)) and 13\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -161. Let k = -49.5 + s. What is the fourth smallest value in 5, -0.03, -5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 13. Let v(s) = 1. Let c(x) = -5*v(x) + w(x). Let i be c(6). Factor 0*j**2 + i*j**2 + 0*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 - 26940*h - 29030544 = 0. What is h?\nAnswer: -5388, -1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*o - 2, o - f = -0*o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3616\/1695*5\/(-2))\/((-1)\/234) a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**4 - 105*x**3 + 203*x**2 + 6. Let p(u) = 20*u**4 - 524*u**3 + 1016*u**2 + 32. Let v(h) = -3*p(h) + 16*q(h). Determine n, given that v(n) = 0.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:12 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302132 (base 7) in base 3?\nAnswer: 1102110111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -8, -28, -64, -122, -208, -328?\n\"Answer: -l**3 + l**2 - 6*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3156771 and 66676?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 267, 302, 343, 390, 443, 502?\n\"Answer: 3*g**2 + 26*g + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 4 + u - 8 + (-1 - 4 + 3)*(2 - 2 - u) + (-2*u - 2*u + 5*u)*(0 + 1 - 2).\nAnswer: 3*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 46000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 50*y**2 - 7 - 19*y + 5*y. Let q(w) = -25*w**2 - 8*w - 3. Let t = 9 + -14. Let x(j) = t*q(j) + 2*l(j). Find o such that x(o) = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -76, -130, -206?\n\"Answer: -11*i**2 + i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 696 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/30 - 4*f**2 - 11*f. Let p(i) be the first derivative of k(i). Let n(t) = 17*t + 2*t - 11*t. Determine n(p(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/5)*g)**(-4\/17)*((g**(-2\/5)\/g)\/g)**(25\/2) assuming g is positive.\nAnswer: g**(-2582\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 3*v**2 + 8*v. What is r(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 2*z**2 - 2*z - 2. Let u be y(3). Let g = -37\/6 - -77\/12. What is x in -u - g*x**2 - x = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -9 (b) -0.8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 550\/13 and -5\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3309325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -44500246.\nAnswer: -44500242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 - 1\/18*g**4 - 1\/270*g**5 + 0*g - 1\/945*g**7 + 1\/135*g**6 - 70*g**2 + 0*g**3. Determine v, given that y(v) = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0043 - 0.1043. Let h = -1 + 21. Which is the closest to 0? (a) p (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 233*n**3 + 98*n**2 - 8*n - 39707. Let h(m) = -29*m**3 - 12*m**2 + m + 4963. Let d(g) = -31*h(g) - 4*o(g). Differentiate d(q) wrt q.\nAnswer: -99*q**2 - 40*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 159176515180.47\nAnswer: -159176515173.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 612, 1376, 2446, 3822?\nAnswer: 5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224477701243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*u + 5740 - 2050 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 5 (b) 3\/13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptppttppptgppt. Give prob of picking 2 t and 1 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, z: 1, c: 1, a: 1, g: 1}. What is prob of sequence kzac?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22026731 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 10*j + 4. List the prime factors of p(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/13 - 10*b**4\/13 + 12*b**3\/13 + 8*b**2\/13 - 16*b\/13.\nAnswer: 2*b*(b - 2)**3*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1388 + -1187. What are the prime factors of s?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 11*f**2 + f + 28. Calculate the remainder when 133 is divided by m(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 + 2. Let m be z(6). Solve u + u - m = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*n - 83*n = 0. Solve 0 = -4*c, 3*j = 2*c - 3 - n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 26*j - 10*j + 7*j + 3*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.15. Let i = 0 - 0.1. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 + 327*p**3 + 5*p**2 + p + 3314 wrt p?\nAnswer: 24*p**2 + 1962*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 w, and 1 v when four letters picked without replacement from gwbwvbbwkbbwwkwbb?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 3) + 4 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -143 + -12?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 309 = 2*k + 331, 4*k - 11 = -3*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/10 of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001097664 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(76) + 2*sqrt(76))\/sqrt(4)*-6*-3 + 5))**2 + -1.\nAnswer: 498635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 126 = 545. Find the first derivative of -g*c + 1416*c - 101 - 711*c wrt c.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502999 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.72 + -7.12. Let k = i - -5.45. Which is the second biggest value? (a) k (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 436 + 4*w**2 - 394 + 2*w**2 - 414 + 1244.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**4\/4 + 15*k**3\/4 - 725*k**2\/4 + 2625*k\/4 = 0.\nAnswer: -15, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*b)*(-2 + 3 - 2) + (-3*b + b + 3*b)*(-4 + 2 + 3) + 2*b - 3 + 3 - 5 - 37898*b + 679 - 674 as v + f*b and give f.\nAnswer: -37893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22880, 22598, 21836, 20354, 17912, 14270?\n\"Answer: -40*z**3 - 2*z + 22922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2339 + 2641 = 6*i. Let l = 34 + i. Is 72 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87015358, -174030715, -261046072?\nAnswer: -348061429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/3 + 15714*h + 4610312\/3 = 0.\nAnswer: -47044, -98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64416594257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -0.7091.\nAnswer: -0.2091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 259478 divided by 1894\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1 - 4 + 7*t - 61*t**3 + t**2 + 57*t**3. Let h be (-26)\/6 - (-3)\/9. List the prime factors of v(h).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4446, 9539, 14624, 19701?\nAnswer: 24770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 2.8. Suppose -2*m + 3 = -7. Suppose -3*x - 11 = i, 2*x = -2*i + m*i + 11. Put i, k, 1 in descending order.\nAnswer: 1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*v = 4*j + 27, 3*j = -2*v - 20. Let l(r) = 2*r**2 + 7*r - 8. What is the units digit of l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(119) - (sqrt(119) + sqrt(119)*-1*-3 - sqrt(119)))\/((sqrt(7) - 3*sqrt(7))*-6) + 5).\nAnswer: -45 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -4*v**3\/15 - 122*v**2\/5 - 48*v - 1023. Determine y so that f(y) = 0.\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570 = 64*v + 88*v + 506 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(0*w + 6*w - 5*w)*(2*w + 24*w - 3*w)*(2 + 1 + 1 + (3 + 0 - 1)*(0 + 0 + 1)) to y + m*w + h*w**2 and give h.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377186509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211131322 is divided by 33684?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**3 + 8 - 8*v + 13*v**2 - 19*v**2 - 14*v**3. Let q(u) = -u**3 - u**2 - u + 1. What is m(w) - 6*q(w)?\nAnswer: -3*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18.18+-476651850\nAnswer: -476651831.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2770 - 1337. Let p(c) = -707*c + a*c - 713*c. Let o(k) = k**2. Calculate o(p(s)).\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22212842579 plus 41?\nAnswer: -22212842538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 22*g**2 - 29*g**2 + 73*g**2. Let r be q(1). What is the highest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70635?\nAnswer: 3, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17664287627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 29 = -26. Let m = 18 - f. Let j = m + -2. Solve 3*w = 2*a - 5, 4*a - 11 = j*w - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4 and (550\/45)\/(32\/(-6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4680*s**6*t + 39*s**3 + 2*s**2 - 54*s*t - 4*s + 8*t + 92 wrt s?\nAnswer: 561600*s**3*t + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -441\/2*z**2 - 8424*z - 3\/2*z**3 - 23328 = 0. Calculate z.\nAnswer: -72, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 15. Suppose -r*d + 63744286 = 12244286. What is d rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7*1\/4)\/(4\/816).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 753580 and 855260.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfvhhahvbvv. What is prob of sequence havh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 5*a**3 - 2*a**3 + (5*a**2 - 3*a**2 - 4*a**2)*(1 - 1 + 8*a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/36 - (26\/6)\/(-1). Sort -4, -5, u, 18 in decreasing order.\nAnswer: 18, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7723095 is divided by 2034?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.018795\nAnswer: -0.07518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwwrrwraarwrwrrazwz. What is prob of picking 1 r and 1 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let w(q) = q**2 - 11*q + 29. Let r be w(8). Suppose 3*u = 4*c + 6*u - 53, r*u - 43 = -s*c. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 + 235. Suppose 13 = h*n - 3667. List the prime factors of n.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160633 by -9449.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 + -25 + -13\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 4*k + 145 - 242 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -2*x - 3*c + 70, 28*c = 2*x + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 390 = 386. Solve 18*v = 50 + o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650620 is divided by 9500.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5787094 and -5.\nAnswer: -2.893547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 16*h**7\/105 - h**4\/8 - 141*h**3\/2 + 115*h**2 - 2. Differentiate o(v) with respect to v.\nAnswer: 128*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7739194 at most as big as -7739129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - s + 12, 3*s = -2*k - 15. Let o be (k\/(-1))\/((-2)\/2). Let x(m) be the first derivative of -m**4\/4 - m**3 + 3*m**2\/2 + 2*m + 2. What is x(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 14*m**2 - 31*m - 12. Let t be k(16). Let j = -2 - -4. Suppose -j*r - 6 = -0*r. Sort r, t, 0 in descending order.\nAnswer: t, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2154\/34249 or 6\/13?\nAnswer: 2154\/34249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + -2*3\/3. Suppose -r = 4*f + 28, 0*f = -2*r + 5*f + 9. Is ((-24)\/r)\/(2\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 16*n - 17*n + 51*n - 254 to the form p + a*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*s - 18. Let y = s - 18. Suppose -3*i + 182 + 1261 = y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/9, 2\/11, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 12 = -b. Let s = -1 + 42. What is the remainder when s is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4076.80256 + -4024.8. Let n = p - 52. What is n rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 43.7, -4, 39, -0.1.\nAnswer: -4, -0.1, 0.5, 39, 43.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 + 426. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwkkkwwwkwwkkkww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 5*s - 3*s)*(-2 + 0 + 4)*(-23 + 23 - 5*s**3 + (s**2 - s**2 + 5*s**2)*(1 - 1 + 2*s)) to the form p*s**3 + j*s + a + u*s**2 + h*s**4 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 22. Let s be j(0). Calculate the common denominator of (0 - s\/40)*2 and -1\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 5 - 4) + (-7 - (0 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282012932 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j + 2*j**2 - 3*j**2 + 1 - j. Suppose -4*x - 3 = 1. Let k(g) = 2*g**2 + 4*g - 5. Give x*k(u) - 3*f(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8 - 2)*((3 + 1 - 6)*(1 - o - 1) + 4*o + 1 - 1).\nAnswer: -102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t**2 - 4*t + 5. Determine a(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8530856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b - 2. Let h = -389 + 394. Sort -4, b, h.\nAnswer: -4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -12, 2, 26, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-756)\/(-270))\/(1\/(-1)))\/(4\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - -230?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8 = -5*y + 4*o, 4*y = 3*o - 12. Let f be (-36)\/549*(-1)\/(-6). Let v = f - 529\/1830. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/(((-16)\/8)\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 33872.601?\nAnswer: 33872.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 32 + 1\/8*d**2 - 257\/8*d = 0. Calculate d.\nAnswer: 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l + 9. Let a be h(-5). Suppose 5*z = 0, 0 = 2*d - 2*z - 0*z - a. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-15)\/(-6)*(-18)\/15. Suppose -2*v - 643 = -5*t - v, v = -3*t + 389. Suppose -d*r - r = -t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/11*x - 6\/11 - 4\/11*x**2 = 0. What is x?\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 23 = -19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011011 (base 2) to base 16.\nAnswer: 45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*v = -24, -3*v + 60 = 5*h + 1. Solve 5*r - l = h, 3*l = -4*r - 0*l - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-136)\/(-32))\/(6\/16). Let f be (v - 0)*(-84)\/(-24). Let r(p) = 5*p - 3. Give r(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Differentiate 6*a - a - l + 0 + 2 wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 - 150. What is the remainder when 80 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.31 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5341143 + 58*a**2 + 5341139 - 10682282.\nAnswer: 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/17 + 54*f**3\/17 + 174*f**2\/17 + 178*f\/17 + 60\/17.\nAnswer: -2*(f - 30)*(f + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36362 - 4*b**2 + 36353 + 13*b - 98*b.\nAnswer: -4*b**2 - 85*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*(-55)\/(-11385)*161?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 594689*p**3 + 935*p**2 - 22 wrt p?\nAnswer: 3568134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191317\/32 - -5978. What is the common denominator of x and -19 + 8 - 340\/(-22)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -236*w - 1791. Calculate the remainder when n(-17) is divided by 79.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -117. Is z != -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973356 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7698734957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 450721 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/9 + 4*i**3 - 30*i**2 + 424*i\/9 - 64\/3 = 0?\nAnswer: -24, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(6)\/sqrt(2) + 1) + -4*-6*sqrt(9)\/sqrt(3).\nAnswer: -1 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5.7, -4, -3\/7, 3.1, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*s**4 - 64501*o*s**3 + 6*o*s**2 + o*s - 3365*o + 4*s**3 + 2*s**2 wrt s.\nAnswer: -48*o*s - 387006*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -90820?\nAnswer: -21\/22705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -2*g**4\/3 - 2*g**3\/3 + 5*g**2\/2 - 9*g. Let u be d(2). Let j = u + 68. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 - 201*t**2 + 9*t**3 + 0*t**3.\nAnswer: t**3 - 201*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*155\/(-60)*(1474\/(-44) + 35)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -2, -1.47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*r - 8 = -558*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26409331*u**3 + 14187806 wrt u?\nAnswer: 79227993*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*q + 1. What are the prime factors of 3*q*((-33)\/9 - 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 21488?\nAnswer: 21484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(33))\/sqrt(3) + -5.\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 6*d**2 - 7*d + 4. Let k be i(5). Let o be (k - -11) + 1 + -3. Suppose 5*v = 2*a + 9, 0*a + 6 = -o*a. Which is greater: -3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + i + 1)*((5 - 2 - 1)*(11 - 3 - 4) - 1 - 8 - 3) as z + b*i and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14245275 by -18381.\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:39 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, k: 10}. What is prob of picking 2 u?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -8. Let c(l) = 29*l - 48. Let w be c(x). Calculate the greatest common divisor of 42 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**4 + 15*k**4 + 7*k**5 + k**5 + 3*k**5 - 2*k**5 + (-2*k**5 - 4*k**5 + 4*k**5)*(-1 + 3 + 0) + 2*k**2 - 3*k**5 + 12*k**4 - 241 + 241.\nAnswer: 2*k**5 + 12*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/(-3731))\/(4\/14).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.31, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581.3 - -581.2996101. Round d to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:08 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*q - 1209 = 0, q - 4*q = -s + 415. Let l = s - 231. What is the highest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*z + 40, s + z = 41 - 0. Suppose -5*b + 46 = 3*q, 7*q - s = 3*q + 3*b. What is the third derivative of -33*p**6 + q*p**2 - 3*p**2 + 5*p**6 wrt p?\nAnswer: -3360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = x - 3*v, -32 = 4*x - 6*v + 5*v. Let c be (0 + x)*(-5)\/10. Let s(d) = 5*d - 60. Let z be s(12). Solve -5*m - 16 - c = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13936, -27870, -41804, -55738, -69672?\nAnswer: -83606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*c**3 + 0*c - 2\/9*c**4 + 0 - 2\/9*c**2.\nAnswer: -2*c**2*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*o + 5 = 0, -4*b + 7*o = 2*o + 8. Let n = 461\/1860 + 1\/465. Sort n, 1, b in decreasing order.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 123, 130, 137, 144, 151?\n\"Answer: 7*m + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311 + -1?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 12*h - 5. What is f(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672783210 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 3500?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -465, 3, -4.\nAnswer: -465, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/58000 and -87\/10576?\nAnswer: 38338000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 5) + (9 + -32 - (0 + -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 8 = -3*m. Suppose m*o - 4 = 2, 3*y + o + 27 = 0. What are the prime factors of (y\/(-4)*-1 + 3)*20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*u - 562 - 2958 = 0. Put 1, u, -4, 3, -1 in descending order.\nAnswer: 3, 1, -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5\/31 (b) 0.3 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32117\/38 + -15916\/19. Find l such that 5*l**2 + 0 + 45\/4*l**3 + 5\/4*l**5 + 0*l + z*l**4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 46*m - 966. Calculate a(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5259 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.641, 182, -0.4, 0.5?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-2\/7)\/g))\/g)\/g**(-4))\/(g**5*g**(2\/11)) assuming g is positive.\nAnswer: g**(-69\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 697, -3, 23 in descending order.\nAnswer: 697, 23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - 8*p - 1. Suppose -2*i + 3*q = 11, 3*q - 6 = 4*i + 19. Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 11. Suppose -2*o - 8 = 2*k + 2*k, k - 34 = 4*o. Let n be j(o). Solve -n*r + 3 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3797985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, r: 1, y: 2, i: 1, b: 1, j: 2}. Give prob of sequence jjyi.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 20. Let g(b) = 9*b - 2. Determine f(g(o)).\nAnswer: 27*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15105*p**3 + 10*p**2 + 2846365*p?\nAnswer: -90630*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m + 124. Let j be d(-12). Solve -4*u - 5*y - j = 0, -7*u + 13 = -2*u - 2*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 169, -3 in descending order.\nAnswer: 169, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) 1.23 (c) 4\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 483*i**2 + 10701*i**2 - 3075*i**2 in the form a*i + t*i**2 + d and give t.\nAnswer: 8109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 20*s + 152 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1510117599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x - 2. Let d(g) = 2*g + 3. Let n(v) = -2*v - 18. Let p(h) = -5*d(h) - n(h). Let f = -3 + 8. What is f*p(o) + 6*b(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.3 + 6. Let r = -3\/142 + -263\/994. Which is the third biggest value? (a) -1 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-2)\/795) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66666, -66609, -66502, -66321, -66042, -65641, -65094?\nAnswer: -64377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:11 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbbbbbjjb. Give prob of picking 3 b.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28655 is divided by 28646.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6646 = 13*h + 202751. Is (-11)\/((-7)\/h*-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m + 56552 = 83*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 7, m: 5}. What is prob of picking 3 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 8195?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f + 13750 = -18*f - 73*f + 850 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92198 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: Let l be (3\/3)\/(2 + (-2068)\/1032). Let t = 660 + l. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3745*g + 45329. Determine t(-12).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12858*f**2 + 14167*f?\nAnswer: -25716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*k + 828. Is 3\/(-1)*k\/(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35148377*u - 16*u**3 - 35148375*u + 2*u**2 - 2*u**2.\nAnswer: -16*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5139 and 17\/10278.\nAnswer: 10278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 23728*f\/5 - 189888\/5.\nAnswer: (f - 8)*(f + 23736)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001011101 (base 2) to base 16.\nAnswer: -205d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvqqqqqvvvkqqv. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -72?\nAnswer: -13\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -1838*i + 1834*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2392, -15716, -29040, -42364, -55688, -69012?\n\"Answer: -13324*u + 10932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.347755 centimeters?\nAnswer: 0.03347755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213103822 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12141126 - -1?\nAnswer: 12141127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or 0.3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066*b + 453*b - 8865 = -1436*b. Suppose -129\/4*g**2 - 3\/4*g**b - 330*g + 363 = 0. What is g?\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6293 + -6293.005713. Round u to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 325466 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {y: 8, w: 2, n: 4}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let c = 6 - 5. Sort 1\/4, d, c in decreasing order.\nAnswer: c, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2725590*u**4 + 130273*u - 9 wrt u?\nAnswer: 32707080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zszszszzzzzzsz.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y - 1. Let m be i(3). Suppose -4*g = -m - 10. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131623.\nAnswer: 43, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13253 = 6*n - 236*n + 3061 + 72 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/124)\/(-7)*(96\/10)\/(-12)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389934530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -5*w**5\/4 + w**3\/3 - w**2\/2 + 211*w. Let u be (-6 + 3)\/(-9)*3. Give a(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -436, -476, -516, -556, -596, -636?\n\"Answer: -40*p - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 11:10 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, 786, 3766, 9948, 20490, 36550?\nAnswer: 59286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -21 - 3*q**2 + 0*q - 1\/60*q**5 - 1\/3*q**4 - q**3. Let h(m) be the second derivative of y(m). Calculate h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + q - 224, 18 = -4*q + 2. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 0, -1, -6 in increasing order.\nAnswer: -6, -1, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqssp. What is prob of picking 2 q and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 724 + -16?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeuquzzqvqqueeuqqz. What is prob of sequence zu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 9 = v - 0*v - 6*r, 19 = 4*v - 3*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16.685501 * -4\nAnswer: 66.742004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -114?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 4*l)*(2 + 2 - 2) - l - 3*l + 5*l - 9*l + 12*l + 7*l + (4 - 1 + 1)*(-l + 2*l - 2*l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 960*m**2 - 3169936*m.\nAnswer: m*(m - 1364)*(m + 2324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1*3\/(-33)). Let y = 24 - h. Let x be 8\/(-32) + y\/4. What is the nearest to -1\/3 in 2\/11, x, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w - 1. Let u be t(-2). Suppose u = 9*m - 6*m. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u**3 + u**2 - u - 5*u**2 - 29 + 30. Is y(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 144\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 253, 279, 325, 397, 501, 643, 829?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71\/5 + 629\/20. Let k = d + -17. Let z = -0.03546 - -0.53546. What is the nearest to -1 in -2\/33, z, k?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7299 to one decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1\/9, 16, -0.5, 3, 0 in descending order.\nAnswer: 22, 16, 3, 1\/9, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.06, 132, 425?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -4a?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmjmmmmpeeepmmmpme. What is prob of sequence mm?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b**2 + 2*b**2 - 6*b**2)*(-3 + 3 + b) + b**3 - 6*b**3 + 3*b**3 + (4*b**2 - 2*b**2 + 0*b**2)*(-b - 2*b + 2*b))*(1 - 1 - 2*b).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let h(x) = -132*x - 16 + 23 + 130*x. Give -h(y) + 2*i(y).\nAnswer: 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1855 * 0.101\nAnswer: 187.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 10*u - 2. Let r be j(0). Let i = -0.9 - -0.5. Let k be (-2)\/3*2\/4. What is the nearest to r in i, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 30 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * 810797.\nAnswer: 210807.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8295*0.3.\nAnswer: -1.74885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 798\/(-304)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - o - 15, o = -4*p + 2*o + 25. Suppose -2*h = -0*h - 4. Let n(s) = 4*s + 2. Let b(m) = -9*m - 4. Calculate h*b(i) + p*n(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 16*i**2 + 27*i - 13. Let b be r(-14). Let p(v) = 1 - v + v + b - v. Let k be p(-3). Solve k*l + 5 = 3*g, -l - 3*g = -3*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 233 = -4*l, l + 2 = 5. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 170277393?\nAnswer: 2894715681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.87625kg to milligrams.\nAnswer: 4876250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/22)\/(10164\/11979))\/(1\/(63\/6)).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*k = 0, -2*k + 0 - 10 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**3*i - 8*b**3 - 9*b**2*i - 34*b**2 - 56*b*i**2 - 200*b wrt i.\nAnswer: 8*b**3 - 9*b**2 - 112*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0169740019 to 4 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 13*r - 56. Does 16 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1175*p + 2. Let i(t) = -9*t + 1. Give 4*i(d) - o(d).\nAnswer: -1211*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 881206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 84.8\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -20*y - 262, 135*j = 138*j + 9 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-4)\/(504\/(-105)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1222, 14, 4\/7 in increasing order.\nAnswer: 1\/1222, 4\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 591588767*z**4 - 403120307 wrt z?\nAnswer: 2366355068*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n + 8. Let f be o(9). Suppose -3*d + 32 = -2*a, 6*d + a = 5*d + 4. What is the greatest common divisor of f and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.427254ms?\nAnswer: 1427254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 180\/17 (c) 2 (d) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -2460\nAnswer: 3\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*y + 5326, 14*f + 21320 = 10*f - 4*y. Let i = f + 1168148\/219. Is i < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t + (-1 + 2 + 1)*(-2 - t + 2) + t - 1 + 1 - 41*t + 39 - 39)*(-t - 16*t + 6*t)*(-4 + 3 + 5).\nAnswer: 1892*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -53393\nAnswer: -213572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-3)\/(-3) - 0). Let i(j) = -3*j - r + j + 2. Let x(t) = 2*t. Determine x(i(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 8 + -6 + -7 + 5 + -47 + -12?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-1)\/(-7)*5\/1)\/(4\/(-14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 - 14*r**4 - 16*r**3.\nAnswer: 2*r**3*(r - 8)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2688*a**2 - 1372*a**4 + 3920*a**3 - 39*a - 88 + 24 + 743*a.\nAnswer: -4*(a - 2)*(7*a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05521 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = f - 0*b + 4, 0 = -3*f - b + 20. Solve -3*u + 3 = 2*n - 7, 3*u - f = -n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7619*j + 5*j**3 - 7619*j + 15238*j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from aalasaaaa?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 59\/(-2)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 - 2*w + 5. Let s(r) be the first derivative of r**4\/4 - 4*r**3\/3 + 3*r**2\/2 - 3*r - 1. Let t be s(2). Let y = -1 - t. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -216 (c) -3\/19 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1801060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/3612 and -185\/2856.\nAnswer: 122808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-348)\/(-783) - (4\/14)\/((-24)\/(-28))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84897 is divided by 178?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 112 = 0. Let a = j + -58. Do -31 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-14))\/((-4)\/(-2)*-1). Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*b + 658, -h + 7*b = 5*b + 338. Let f = h - -337. Solve -2*w - 2 = -2*o - 5*w, 5 = f*o + 5*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 + 9. Let y(m) = -6*m**2 + 10. Let j(a) = 5*g(a) - 4*y(a). Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f - 4. Let u be -4 + 17\/4 + (-38)\/(-8). Give v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 - 3001?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9207 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -264863 times -4\nAnswer: 1059452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 13*k**2 + 4*k - 6. What is y(5)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j. Let y(t) = 2*t - 1. Let v(a) = -8*a - 1. Let l(i) = v(i) - y(i). Give g(l(u)).\nAnswer: 220*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(3 - 2) - 0. Let l be 0 + -1 + 4 - 4. Which is the second smallest value? (a) l (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewzpleldw. What is prob of sequence dz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.058 + 3.942. Which is the fourth biggest value? (a) -3\/2 (b) k (c) -1\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2561728674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/((-4)\/(-3)) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -128 (c) 1\/20 (d) 1 (e) 912\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - c + 6 = 0, -4*c = 2*u - 0*c. Let r = 7 - u. Suppose -135 = -3*m - j, -r*j - 22 = -5*m + 189. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 534125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:57 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1636 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 6, 2\/9, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 6. Let a(x) = -x + 5. Let h(g) = -6*a(g) - 5*w(g). Suppose -2*c + 7 = 1. Let u(t) = t + 5*t - c*t. Give h(u(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*j**3*n**2 + 906*j**3*n*q + 740*j**2*n**3 - j*n**3*q - 5*q wrt q.\nAnswer: 906*j**3*n - j*n**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -35, 5 in decreasing order.\nAnswer: 5, -31, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21364*g**3 + 42774*g**3 - 21412*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -363*q - 426*q + 26880 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-16 + -3 + 20) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*l + 497*l - 640 = 1043*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784073?\nAnswer: 19, 29, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - v + 2*v**4 - 4 in the form l*v**4 + y*v**3 + g + s*v + i*v**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 5*g + 1. Let j be w(4). Let m be 2\/25*j*35. Suppose m = -q + 50. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 8. Let o(y) = 14*y**2 + 141*y. Let s be o(-10). Calculate a(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2 - (sqrt(405) + (1*sqrt(405) - sqrt(405))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715508787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 - 1 + 235*d + 7.\nAnswer: 235*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1)\/(((-80)\/(-55))\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3771408109 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -14*b + 12*b. Let y be 3 - (-2 - b) - -4. Suppose -y*g + 45 = -27. Calculate the highest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378156120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/40832247 and -32\/291.\nAnswer: 40832247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 46*w**3\/3 + 2*w - 2435. Let d(n) = -31*n**2. Calculate d(g(o)).\nAnswer: -65596*o**4 - 5704*o**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 0*r + 0*r**4 + 2\/65*r**5 + 0*r**3 + 1\/39*r**6 - 3 + 0*r**2. Determine y so that c(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 41*d - 15*d - 7*d - 3*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-616)\/(-52) - 4\/(-26). Suppose -1839 = -f*p + 9. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(24\/(-1164)). Let o = g + 484\/15. Which is smaller: o or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (474\/632 - 43\/4) + (-1582)\/(-154).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*v + 5*b, 5*v - b - 1 = -0*v. Let h(t) = -11*t**2 + 4*t + 4. Let y(u) = -u**2 + u + 1. What is v*h(m) - 4*y(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246869332643433.85700063 - -246869333958086. Let r = h - 1314652. Let a = r + -0.143. Round a to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107807426 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 338237857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/2, -1, 2 in increasing order.\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -324*y**2 + 36*y. Let x(i) = i**2 - 2*i. Calculate -l(b) - 18*x(b).\nAnswer: 306*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 16 = 0, -6069 = -2*o - 10*s - 6115 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15356*z**3 - 2*z**2 - 2*z - 16688 wrt z.\nAnswer: -92136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-27)*1\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -366*b**3 - 163 wrt b?\nAnswer: -1098*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64743, 64738, 64737, 64740, 64747, 64758?\n\"Answer: 2*x**2 - 11*x + 64752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/((-2)\/(-36)). Let c = a + -6. Suppose -5 = j, 2*j + c*j = -2*b + 66. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 - i**2 + (i - 4*i + 5*i)*(4*i - 3*i + 3*i)*(1 - 2 + 2) + 2*i**2 + 0*i**2 + 0*i**2)*(-9 - 78 - 15).\nAnswer: -1224*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, b: 4, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 - 9*b**2 + 5*b + 5. Let k(x) = -4*x**3 + 10*x**2 - 6*x - 6. Let n(q) = -5*k(q) - 6*w(q). Solve n(g) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 61, 173, 371, 679, 1121, 1721, 2503?\n\"Answer: 4*f**3 + 7*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5317*g - 90528 - 207224 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**4 + 5*m**3 + 5*m**2 + 9. Let k(p) = -16*p**4 - 7*p**3 - 7*p**2 - 14. Let d(u) = -7*i(u) - 5*k(u). Find the first derivative of d(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 326658 or 326652?\nAnswer: 326658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*c*o**3*t + 4*c*o**2*t + 2*c*o**2 - 2*c*t - o**3*t + 8*t wrt o?\nAnswer: -2064*c*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 2*q - 451. Let g(m) = m. Give g(z(y)).\nAnswer: 3*y**2 - 2*y - 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + sqrt(125))**2 + 0 + -5 - -2*sqrt(125)*-4*-1))*2*-5.\nAnswer: -1260 - 500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -1 - (49 - 28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2851 or -0.1?\nAnswer: -2\/2851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13168 - 13168. Is f bigger than -65\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -245600 take away -0.2?\nAnswer: -245599.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 51 = 28*k + 130 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35503473, -35503465, -35503453, -35503437, -35503417, -35503393?\nAnswer: -35503365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 33. Let g be (-5)\/4 + y + 738\/72. Let b = 29 + -20. Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/18 in 0.07, 0, -1\/8, 3.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255\/4 - -127. Let r = g - 63. Factor -t**2 - 1\/2 - r*t**3 - 5\/4*t.\nAnswer: -(t + 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 4. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 220644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 4. Let u be q(-4). Let g = -835\/7 + 119. What is the biggest value in g, -2\/3, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 80. Suppose 172 = -6*x + 538. Let w = x + y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*w = 16, -380 = 2*p + w - 389 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6983963425 rounded to the nearest 100000?\nAnswer: -6984000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065913614?\nAnswer: 2, 3, 19739141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 115*g**4\/24 + 218*g**2. Let t(h) = -2*h. Give t(i(o)).\nAnswer: -230*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 28. Let p = n + 38. Suppose -2*z = -6*z + 176. What is the remainder when z is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.14 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(72) + -1)**2*2 + -4*(sqrt(72) - (-3 + 2*sqrt(72))) + -5)*-4*-4.\nAnswer: -11952 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i**(2\/5)*i)*i**(-3)*i*i assuming i is positive.\nAnswer: i**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 6. Let s be a(-4). What is the units digit of (14 - 3) + s + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000198382 rounded to seven dps?\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-535)\/(-1070))\/((-37)\/(-4)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4473310 (base 8) to base 2\nAnswer: 100100111011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 7*a**2 + 5*a**2)*(a**2 - 4*a**2 + 2*a**2 + (3 - 4 + 3)*(2*a**2 + 2 - 2) + 7*a**2 - 3*a**2 - a**2 - 8*a**2 + 3*a**2 - 2*a**2).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4*u - 230956*s**4 - s**3*u**2 + 2*s**2*u + 15*s**2 - 198737*s*u**2 + 3*u**2 wrt s.\nAnswer: 48*s*u - 5542944*s - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.2, 5, 0.04, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1050.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 4*j**2 - 2*j**2)*(-232*j + 4*j - 324*j + 101*j).\nAnswer: -902*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 18 = -5*r, 2*r = -4*x + 9478. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:48 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 1, -1\/6, -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -35, -39, -43?\n\"Answer: -4*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 + 3 = 0. Suppose -5*v = -o*v - 9. Suppose w = v*w - 62. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51\/205 - -2\/41. Suppose 0 = -n - 2*k + 11, 13 = 3*n + 2*k - 6*k. Let v be 5*2\/(-6) + -6 + n. Which is the closest to 1? (a) d (b) 2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1342 and 1056?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 16, -q + 4 = q - 2*d. Let b(g) = -g**2 - 8*g - 3. Let u be b(-7). Solve u*v = q*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313180 + -313174.999985. Let m = 5 - t. Round m to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460661*n**5 + 455046*n**2 wrt n.\nAnswer: -27639660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -18. Solve -2*b + 0*u + u - 4 = 0, -6 = j*b - 3*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21727872.\nAnswer: 2, 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -12*q - 120. Suppose -5*g + q = 5*r, 5*g + 18 = 7*g + 5*r. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 16) to base 7\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let s(c) be the second derivative of 75*c + 0 + 1\/4*c**4 + 0*c**2 + 0*c**3. Give s(k(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**2 + 6*r - 5. Let f(t) = -11*t**2 + 5*t - 8. Let c(q) = -12*q**2 + 4*q - 9. Let h(s) = 2*c(s) - 3*f(s). Determine -6*h(p) - 7*u(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.9 - 5.7. Let l = -5.4 + b. Which is smaller: -12 or l?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*s**2 - 8 + 15*s - 12*s + 7 + (3*s + 3*s + 2*s)*(4*s + 0*s - 3*s).\nAnswer: 19*s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 4, -13, -28, -41?\n\"Answer: v**2 - 22*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -26*b**3 - 5*b**2 - 3*b. Let r(h) = h**3 + h. Let k(f) = -5*r(f) - z(f). What is the third derivative of k(c) wrt c?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**7\/14 + 43*v**3\/6 + 7*v + 31. Let b(g) be the first derivative of u(g). Find the second derivative of b(j) wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5298364 by 7.\nAnswer: -5298364\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3*p**3 - 81*n**3*p**2 - 50*n**3*x + 3*n*p*x**2 + p**3*x + p**2 wrt x.\nAnswer: -50*n**3 + 6*n*p*x + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -15. Let g = w - -2. Sort -2, g, -1 in decreasing order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 8*c - 6. Let x(y) = y + 1. Let p(h) = 63*h**2 - 18*h - 84. Let k(q) = c*p(q) - 18*x(q). What is the derivative of k(i) wrt i?\nAnswer: -126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {u: 3, o: 13, a: 3}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scvp when four letters picked without replacement from {q: 4, v: 2, p: 3, c: 1, s: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8831 - 8846 = -15*p. Let j = -0.32 - -1.32. Which is the nearest to p? (a) j (b) 16 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let m(i) = -i**2 + 3*i + 4. Let c be m(3). Let z(y) = 0 - 3*y**2 + 0 - c*y**2. Calculate o(z(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8731, 12632, 16533, 20434, 24335?\nAnswer: 28236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/1 + (-6)\/3. What is the units digit of (-1*1)\/(w\/(-112))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/6, 0.5, -5\/13, -310\/11, 1\/5, -3?\nAnswer: -310\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 4. Let n be v(4). Let p = 2 + n. Suppose 4*f = -0*f - 4*o + 12, 5*f + o - 19 = 0. What is the lowest common multiple of f and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 275*z - 65. Let g(c) = 25*c - 6. Suppose -5*j = 2*k + 24, 0 = j - 4*j - 5*k - 3. Calculate j*i(d) + 65*g(d).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3272\/3 + 1109. Let y = t - 397\/21. Sort 0.4, y, 0.19 in ascending order.\nAnswer: y, 0.19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/92 and -99\/322?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 + 324 - 7*z + 348 - 1092.\nAnswer: -7*z - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4285\nAnswer: -1\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71764736?\nAnswer: 2, 197, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 223\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 - 163. Solve 2*v + 2*y + o = 0, 2*y + 13 = -5*v + 4*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000641419406 to 7 dps.\nAnswer: -0.0006414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9800 times 0.1?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.530687 years?\nAnswer: 114.368244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(500) + -5)**2 - sqrt(500)) + (sqrt(20)\/sqrt(64) - (sqrt(20) + sqrt(20) + -2 - sqrt(20))).\nAnswer: -2623 + 1953*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let o(v) = v - 3. Let h be o(-9). Let y(j) = -3*j - 12 - 4*j + 2*j - j. Calculate h*i(r) + y(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 4*x**4 + (262*x**3 - 276*x**3 + 171*x**3)*(0*x + 0*x - 2*x))*(4*x - 2*x - 3*x).\nAnswer: 310*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 + o**3 + 2*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1438117.84 from -0.06.\nAnswer: -1438117.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a**4 + 7*a**3 + 51*a**4 - 24*a**4 - 10*a**4 - 2*a**2 as y*a**2 + z + t*a + o*a**3 + d*a**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-8)*(-10304)\/(-136206)\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 4*u**2 - 7*u + 1. Calculate c(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3834*t**2 - 11699*t**2 + 3780*t**2 + 3811*t**2.\nAnswer: -274*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -18858 at most as big as -18857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 10*m - 15. Let k be w(-7). Let j(a) = -a**2 + 6*a - 5. Let o be j(k). Let i(s) = -25*s - 2. Is i(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -9101846.\nAnswer: 910184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-1 + 1 - 1). Let x(m) = 5*m**2 - m. Let d be x(1). Let i(v) = 3 + d + 2 - 2*v - 7. Give i(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31775310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 980393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10777\/6 + 1788. Find the common denominator of -151\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*r - 5, 2*r + 0*r - 19 = 5*y. Suppose 0 = -7*w - 3*w + 20. What is the nearest to -0.1 in 4, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 2*y)*(7 - 2 - 4 + 0 - 1 - 1 + (3 + 1 - 2)*(3 - 4 + 2) + 2 - 6 + 2 + (-7 - 3 + 3)*(-3 + 1 - 3)).\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 + 18*x**2 + 24*x**2 - 99*x**2 + 16*x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/7*12\/(-18)*1. Let n = -19 - -33. Solve -2 = 3*u - 2*j + y*j, -5*j = 3*u + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {v: 2, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 - 3 = 0. Let f be 9 - (l\/(-6) + (-5)\/2). Suppose -21 = -2*u - r, 4*r - f = 8. What is the greatest common divisor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/103464 and 56\/55?\nAnswer: 5690520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 90 + 18 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9)*s*s)\/(s\/s**0))**42 assuming s is positive.\nAnswer: s**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 = 2. Let y = -78.8 - -79. Which is the biggest value? (a) 0.5 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 - -67 - (2 + 2)) + 10 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - m + 24 = 0, -64 = 8338*r - 8339*r - 5*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 45. Solve 3*q + 4*k = -8, -8 - 2 = h*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**2\/2 - 508. Let n(p) = -p - 11*p - 8*p. What is t(n(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2279 + -0.22.\nAnswer: 2278.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1*3 + sqrt(170) + 1*sqrt(170)*-5)\/((2*sqrt(100))\/sqrt(10) - sqrt(10) - sqrt(10) - (-2*sqrt(70))\/sqrt(7))*-3)**2.\nAnswer: 7497\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*s + 6 = 0, 1 + 3 = -4*z + 2*s. Let l = 4 - 0. Solve z*x - 9 = u - l*x, -4*x = -4*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 50, 130, 272, 494, 814, 1250, 1820?\nAnswer: 2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594045 is divided by 973.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 55*i + a = -5, -7*i - 56 = -5*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 184*w + 1 = -183*w, -i - 14 = 4*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10404, -20856, -31288, -41706, -52116, -62524?\n\"Answer: -k**3 + 16*k**2 - 10493*k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25478 + 73?\nAnswer: -25405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*p - 0 - 1, -p = 3*v - 5. Let d(t) be the third derivative of t**4\/24 - t**3\/6 + t**2. What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/(196\/175*15\/6)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 8 = 0. Solve 0 = -3*r + 5*m + 5, -5*r = -10*r + p*m - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*s - 1070 + 1022, -2*s - 4*x = -48 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061*-530.35.\nAnswer: -32.35135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/60 + 335*w**4\/24 - 21*w**2. Factor z(u).\nAnswer: -u*(u - 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i**4 + 1436698*i**3 - 7593660*i**2 + 7798832*i - 1641856 = 0.\nAnswer: 2\/7, 1, 4, 102616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6395 - -16056. List the prime factors of t.\nAnswer: 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1)\/(x**0*x))\/(x**(-2\/3)*x*x**5))\/((x\/(x*x**0*x))\/x*x*x\/x**4*x*x**4*x**2\/x*x) assuming x is positive.\nAnswer: x**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000409 rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 7:57 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 60 - 25. Let x = -41133 - -82233\/2. Is d at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -327? (a) -1 (b) 4 (c) 4\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - 3*v + 17. Suppose 0 = 4*s - x + 27, 0 = -2*s + s - 3*x - 10. Let q be n(s). Is 654\/8 - (-5)\/q*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 19*u**4\/4 + 25*u**3\/3 - 25*u**2\/2 + u + 17. Is d(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2937440 divided by 26704.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 861940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/(sqrt(250)*1)*5 + ((sqrt(315) + sqrt(315)*-1*-5)\/(sqrt(7) - (sqrt(7) - -1*sqrt(343))))**2.\nAnswer: 3*sqrt(5) + 1620\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -170 - (-4)\/(-2 + 3). Let p = 298 + r. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*(-30)\/12. Let l be (k + 1)\/(24\/(-12)). Let q be 78\/18 + l\/3. Solve 40 = 4*v - q*a + 13, -3*v + 24 = -5*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-13))\/(6\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 776 + 3329 + 2369.\nAnswer: -3*n**2 + 6474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 3. Let x be (8\/10)\/((-2)\/(-5)). Suppose -2*h + 12 - x = 0. Solve 1 = -h*i + 3*q + 11, -i + b*q = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26026*g + 25958*g - 3264 = 0 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -949, -1524, -2329?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*g - 5. Suppose 3*b = -19 - g. Let q be (3\/((-12)\/(-4)))\/2*b. Sort 4, 6, q, -5 in ascending order.\nAnswer: -5, q, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1075\/(-430))\/(8\/208)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 319*g**2 - g. Let r be n(1). Round r to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2014, 4051, 6070, 8065, 10030, 11959, 13846?\n\"Answer: -p**3 - 3*p**2 + 2053*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-75)*-4*-3)\/((20\/(-225))\/1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 - -12. Let l = h - -125. Which is the smallest value? (a) l (b) -5\/2 (c) -5 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 + 67 + 19*h + 0 + 0 + 2*h + 0*h - 4*h + 2*h + (h + h - h)*(-3 + 1 + 1) - 2 + 2*h + 2 to n*h + s and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 12*a**3 + 42*a**2 - 44*a + 15.\nAnswer: -(a - 1)**3*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.071, -0.2 in descending order.\nAnswer: 1\/7, -0.071, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 904*s - 6038. What is q(-7)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/2)\/((-2)\/196). Suppose 2*b + 2*j + 2*j - 176 = 0, -4*j + s = b. Suppose b = 3*q + 6. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1.0194.\nAnswer: -5.0194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -30770*n + 5841 + 9087*n - 5841 in the form g + r*n and give r.\nAnswer: -21683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*l - 181*l + 363*l - 29 - l**3 + 9 as f*l**3 + u*l**2 + h*l + i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(187) - sqrt(187)*-2 - sqrt(187)))\/(sqrt(110)\/(sqrt(30)\/sqrt(3))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 + 3 = 0. Suppose -3*j = 5*t + 8, 3*j = 2*t - 0*j + 20. Let g be (-24)\/(-4)*(-6)\/t. Solve -3*v = -h*a + v - 28, v = a + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548 + 2119 = 122*c + 4563 + 7134 for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167544 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q**3 - 4*q**2 + 2*q + 4. Let y be m(-6). Suppose 0 = -6*j - 8432 - y. Let x = 977 - j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199300 by 1993.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*m)*(m + 2*m - m + (2*m - 1 + 1)*(0 + 4 - 3))*(-51 + 32 - 57).\nAnswer: -608*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 7 + (-19 - 0). Let d = x + 38. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3040 = -6*i + 2*i. Let g be 8\/(-36) + i\/(-18). Suppose p - g - 10 = 0. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3 + 65*y**2 - 1270*y + 1200 = 0.\nAnswer: -24, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4117, 8082, 12047, 16012, 19977, 23942?\n\"Answer: 3965*n + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82890 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 10*n**2 + 10*n - 5*n**2 + 353 - 128 - 6*n**2 + 6*n = 0.\nAnswer: -9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -48*u**3 - 17*u**2 + u. Let j(b) = -16*b**3 - 6*b**2. Let r(h) = 6*i(h) - 17*j(h). What is the second derivative of r(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: List the prime factors of 306599948.\nAnswer: 2, 29, 79, 33457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408.7 - -409. What is the nearest to 0 in 3\/5, z, 4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20000 - 1033?\nAnswer: 13412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*m + 28 = -0*m, -q + 20 = -4*m. Suppose q*b + 3*j = 135, -3*b + 3*j = -9 - 66. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3*g - 6 + 0*g**2 + 0*g**3 + 1\/4*g**4. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 > 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.63 - -0.61. Let j be ((30\/350)\/((-4)\/20))\/3. Let x = 0.06 + -0.06. Which is the second smallest value? (a) j (b) t (c) -0.1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = -m + 5*o, o - 61 = -4*m. Let v = -10 - -30. Let k = v + -2. Solve -u + k = -4*p, -3*p + 0*p = -u + m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 18*u**2 + 26*u**2 - 7*u + 1 + 4. Let q be b(7). Solve -n - l + 8 = 0, 3*n + n = -q*l + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20496451*f + 10248218*f - 372*f**2 + 10248233*f.\nAnswer: -372*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2346302 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/6*9*(-21)\/(-1323)*-26*-3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2007, 4015, 6023, 8031, 10039?\nAnswer: 12047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 4*d - 6 = 5*b, 2*d = b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - 0) + -78 + (35 - -38)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snekznlnznzkszk. What is prob of picking 1 e, 2 n, and 1 k?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-2*sqrt(16))\/(-2*sqrt(800) + sqrt(800)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -366 + 338.4. Let h = 2 + z. Round h to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2314\/(-4)*((-56274)\/1079)\/339.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23833282.\nAnswer: 2, 11, 113, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 + -282. Let y be d\/(-205)*(-30)\/88. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 249 = 13*r - 12*r, -87 = -2*m - 5*r. What is the least common multiple of 64 and m?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13770\/(-1785))\/((-4)\/(-224)*26) + 16?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -248*h - 237861. What is m(-959)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*h - 12*c**3 - 174*h with respect to c.\nAnswer: -9*c**2*h - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:58 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*t + 110*t - 16. Suppose 0 = -d + r + 3, -28 = t*d - 2*r - 40. Solve -d*c**3 + 0 + 0*c - 18\/5*c**2 - 3\/5*c**5 + 16\/5*c**4 = 0 for c.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10017377021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**(-7\/3)*g\/(g**(-3\/8)\/g)*(g\/g**(-3\/2)*g*g)\/g assuming g is positive.\nAnswer: g**(1157\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-64)\/4)\/(-4) - -1. Let d be 5*2\/8*4. Suppose -15 + k = -d*v. Calculate the remainder when 10 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 10*h**2 - 10*h - 7. Let s be f(-9). Suppose 0 = s*n + 5*n. Solve 0 = 3*g + 5*z - 32, 3*g - 7*g + 2*z + 8 = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r - 5*t - 21, -2*t - 2 = 2*r. Let j be r - 6 - 12*1\/(-5). Find c such that -12\/5*c - 18\/5 - j*c**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 5*n + 70. Let a be 156\/(-20) + 8\/(-40). Let v be i(a). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 33 = -43*l + 46*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 53.98. Let n = f + -5.02. What is the closest to 0.1 in 2, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89978 divided by 137\nAnswer: -89978\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 88. Let y = r - -11. Let g = 22 + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 3*b + b - b + (b**2 + 3*b**2 - 3*b**2)*(b + 2*b - b) to m + n*b**2 + p*b**3 + g*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*i - 265923 = 0, -31 + 15 = 4*i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 25278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.62 - 627.3?\nAnswer: -601.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 52 = p, 49 = -3*p - 5*i + 207. Let w = -256\/5 + p. Let c = -7 - -6.7. What is the biggest value in 4, w, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k**(-9)\/k*k))\/(k*(k**(2\/75)*k*k)\/k*k*k)*(k*k**(-1\/23)*k)\/(k\/(k\/(k\/k**(-27))*k*k)) assuming k is positive.\nAnswer: k**(-25996\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 + -106. Let r(q) be the second derivative of -5*q - 1\/6*q**6 + 0*q**h + 3\/2*q**2 + 0*q**3 + 0*q**4 + 0. What is the derivative of r(d) wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5985668 is divided by 1995181?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u. Let l be -1 + (4 - (1 + u)). Let c = -632 - -635. Solve c*n = 3*d - l*n - 19, d - n = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z + 103368 - 207014 + 103646.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-32)\/468)\/(24\/270).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:45 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-14))\/((-12)\/18))\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/60 - a**4\/8 - a**3\/6 - a**2. Let v be 0*(-4)\/12 + -2. What are the prime factors of o(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 - 4*r**2 + 4. Let f(b) = -4*b**3 + 3*b**2 - 3. Determine -4*f(s) - 3*w(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) + sqrt(1088)*-3 - sqrt(1088))*-1 - (-4 + 2 + sqrt(1088))) + 1 + (sqrt(1088) - (-3 + (sqrt(1088) - -2*sqrt(1088))) - 4*sqrt(1088)*1))**2.\nAnswer: -384*sqrt(17) + 17444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 1. Let a(z) = -8*z**2 + 9*z + 7. Calculate -a(j) - 6*t(j).\nAnswer: 2*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(108899*v**2 - 108899*v**2 - 2137*v**3) to g*v**3 + k + q*v**2 + u*v and give g.\nAnswer: -4274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*x - 51*x - 3315 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*2)\/sqrt(2))\/((-2*sqrt(60))\/sqrt(5)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 15792?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 14 + -10 + (-226)\/(-2)?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3049311 take away -4?\nAnswer: 13.3049311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 179004216?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9163*z - 10640 = 17035 - 11404 + 93685 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 2*k - 6*k + k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**3 + 6*w - 10. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -265, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36\/11 in 0.3, -20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 1}. What is prob of sequence dn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 3 + y + y. Let x(b) = 3459 + 2086*b - 2087*b - 3463. Give 3*x(q) - 4*z(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.9, 4 in ascending order.\nAnswer: -0.9, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 18*i**2 + 11*i + 3. Let l be s(2). Factor 0*d**2 + 1800 + 3*d**2 - d**2 + l*d + 23*d.\nAnswer: 2*(d + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58000 and 52950.\nAnswer: 61422000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = n, 0 = -6*d + d - 5*n + 15. Which is greater: d or 27\/7?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -191*g**2 + 169*g - 23. Let a(m) = 48*m**2 - 42*m + 6. Let q = 100 + -118. Let o(j) = q*a(j) - 4*t(j). Factor o(i).\nAnswer: -4*(5*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54011311 (base 6) to base 5\nAnswer: 401303211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-5) + 322\/80 and 17\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*v**2 + 2*i*v + 154377420*i + 11359*v**2 + 77*v with respect to v.\nAnswer: 6*i*v + 2*i + 22718*v + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.42077us in seconds?\nAnswer: 0.00009242077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 3) + (35 - -3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -33 + 113. Suppose 810 = m + 2*m. Suppose 45 = 7*x - m. Calculate the greatest common factor of k and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200 and 19482900.\nAnswer: 77931600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14949)\/1057 - -13)*7\/30?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.41 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201112 + 12?\nAnswer: -201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 85371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 425 + 71. Let w = 189 - b. Suppose -k - 1 = -37. Calculate the highest common divisor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4.9. Suppose 2 = 6*f - 3*f + u, -4*u + 8 = 5*f. What is the nearest to a in f, -2\/9, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 55 = -10*q. Calculate the remainder when 2\/q*5*62\/4 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5013716, 10027434, 15041152, 20054870?\nAnswer: 25068588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 669900*u**2 + 1127108*u.\nAnswer: 1339800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -38. Put 5, g, 4 in ascending order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002020 - -21111221?\nAnswer: 22121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(12) + 2).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 1, t: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -95. Let u = -7 - -2. Which is the third biggest value? (a) o (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 148. What is the remainder when b is divided by (3 + -1)\/(2\/21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -432862*q + 432817*q + 315. Suppose 6*m - 3*m - 3 = f, 4*f - 2*m - 28 = 0. Solve 8*t + q = -f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 2, t: 4}. Give prob of sequence tljl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 1. Let n(b) = -b**3 - 5*b**2 - 3. Let t(z) = -6*j(z) + 2*n(z). Factor t(q).\nAnswer: -2*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126258152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1982, -4, 279.\nAnswer: -4, 279, 1982","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)\/z)\/((z*(z\/(z*z**11))\/z*z)\/z) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 83 - 5 - (0 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -45, -87, -133, -177, -213, -235, -237?\n\"Answer: k**3 - 11*k**2 - 6*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 21. Let z be o(18). Let h be (z\/6 + -6)\/((-3)\/(-30)). Which is the second smallest value? (a) h (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2209.1 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose -f = -l*f. Is ((-57)\/(-2) + f)*2 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:45 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*s**3 + 3*d**2*s**2 - 109*d**2*s + 40*d**2 + 1354548*d*s**3 - 4*s**3 - 189*s**2 wrt s.\nAnswer: -6*d**2 + 8127288*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -40. Solve -g = -3*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 56\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*s - 8. Let -1\/2*c**3 + s*c**2 - 1\/4 + 1\/4*c**4 + 1\/2*c = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-63)*(-1)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 14*o**2\/5 + 32*o\/5.\nAnswer: -o*(o - 2)*(o + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 5*q + (0 + 1 + 0)*(5*q - 5 + 5) - 3*q - q + 2*q - q + 2*q + 5*q in the form y*q + i and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**2 - 115*n**2 + 27*n**2 + 47*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.085 - -0.415. What is the second smallest value in 1\/7, q, 3, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 7*z - 7. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(2\/13))*d*d**(-2\/39) assuming d is positive.\nAnswer: d**(70\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24390970 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*n + 328 = 90, 5 = n. Which is the third biggest value? (a) 1\/4 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 538, 1149, 1774, 2419, 3090, 3793?\n\"Answer: c**3 + c**2 + 601*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2276 - 3685 + 895 = 960*v + 2614 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/25)\/(-3)*(-30)\/18\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*w + 22 = 0, -147*d + 142*d = -w - 13. Solve -20 = d*n + 18*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1.82.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -13*t + 8*t + 4*p, 2*t = -3*p + 100. Suppose -j = 4*d - 5 - 3, 2*j + 2*d = 28. Calculate the remainder when t is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:52 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-99)\/(-77)) + 396\/14. Let r be 56\/30 - b\/(-210). Put 19, r, -3 in decreasing order.\nAnswer: 19, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 19 = 2*l, 2*l + 2*l - 4*v = 12. Let x be 1*(-82 - 1)\/(-1) + l. Let h = x - 77. Solve 0 = b + 3*b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7623718047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)\/k)**37\/((k*k**10*k)\/k**9))**27 assuming k is positive.\nAnswer: k**(-7398\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, n: 1, p: 2, i: 2}. Give prob of picking 2 p and 1 i.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26 - (-1 - -1)\/3. Let b = n - 15. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -4*h + 3*s + 7, -2*s = 6. Suppose 5*b = -h*r - 25, 6*r - r + 5 = -b. Solve 9 = -r*a + 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3, 3 - 1 = 4*c - 2*w. Solve -5*g - 5 = 3*i + 11, -5*g = -c*i + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126361, -126406, -126481, -126586, -126721, -126886, -127081?\nAnswer: -127306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/53731 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h + 192. Give q(24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s - 176*s + 9186 = 180*s - 2862 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-336))\/(2*3\/9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5397\/257*(-40)\/(-1064)*-2.\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45406109 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.7, -32, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246722 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*t + 3180 + 5840 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2085921 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/30*(-3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000271754 rounded to 7 dps?\nAnswer: -0.0000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*m**3 - 11726*l**2 - 4*l*m**3 - 907*l*m**2 + 2*l wrt l.\nAnswer: 4*m**3 - 23452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.5, 0.2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - 0?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 298 and 1411477?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**5 + 12188*g**4 + 636980*g**3\/7 - 2901328*g**2\/7 + 3045290*g\/7 - 949300\/7 = 0. What is g?\nAnswer: -863, -11, 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(5) + sqrt(80)))\/sqrt(1100) - 2*((sqrt(2) - sqrt(24)\/(sqrt(48)\/sqrt(4))) + 1))**2.\nAnswer: -2*sqrt(2)\/25 + 5001\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39, -338, -847, -1566, -2495, -3634?\n\"Answer: -105*b**2 + 16*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26294\/3 - 8764. Factor 4\/3*x**2 + 2*x**3 + 0 + 0*x - h*x**5 + 0*x**4.\nAnswer: -2*x**2*(x - 2)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.583 + -2.583. Which is the closest to s? (a) 0.006 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - 1 - (4 - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -394483, -1, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z\/(z**(-4)*z)*z**(-2)*z*z**(5\/3))**(-2\/87) assuming z is positive.\nAnswer: z**(-184\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.142, 2\/11, -10, -9\/2?\nAnswer: -1.142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-25)*-2*8\/(-32)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102308 - 102268. Suppose u - x + 15 = -3*x, 0 = u + 5*x + 21. Let a = u - -16. Calculate the greatest common divisor of a and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404882697 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 48*h**2 + 79*h + 518. List the prime factors of y(-7).\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 3*u + 2*u + (5 + 0 - 1)*(3*u - 86*u + 28*u).\nAnswer: -219*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7175 is divided by 225.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 of a kilometer in meters?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17548615 + -631838099\/36. Let k = p - -2442. Calculate the common denominator of k and -67\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + -2*sqrt(300))**2*-6.\nAnswer: 7200*sqrt(3) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + y + (2*y + 3 - 3)*(-4 - 8 - 1).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*g = -5*g - 28, 2*b - 2*g = -16. Suppose 2*k = -f + 2, -3*f + 6 = 4*k - 0. Suppose 4*i - i = k. Sort i, 2, b in increasing order.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let q = p - -1. Let l = q - -1.0000011. What is l rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*x + 4*g, -x + 2*g = -8 - 6. Let v be (-15)\/(-6) + (-6)\/(-4). Suppose -v*b = 14 + x. Put 5, -4, b in ascending order.\nAnswer: b, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16506 and 210910?\nAnswer: 1898190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**18)**(-49) assuming z is positive.\nAnswer: z**(-882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 - 4 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 1:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932 + (0 - (8 + (4 - 7))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 12. Give d(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Let v be (12\/16)\/((-1)\/(-8)). Suppose 3*c + 9 = v*c. Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(o**2 - 4*o**2 + 0*o**2).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5.6. Let z be 0\/(-10) - (-2)\/10. Which is the nearest to z? (a) 2 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.5 in 1, -5, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a**2*y**3 - 4*a**2*y**2 + 8*a**2*y - 3650*a**2 - 34*a*y**3 + a*y - 45229*y**3 + 3*y**2 - 1 wrt y?\nAnswer: 54*a**2 - 204*a - 271374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**32)\/g)\/(g\/g**16))\/(g\/g**(6\/7))**(-24) assuming g is positive.\nAnswer: g**(353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s - 9. What are the prime factors of b(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k)**(-35)*k\/k**(-2\/13)*k**8*k)\/(k**(-1\/9)*k*k**(2\/5)\/k)**(-40) assuming k is positive.\nAnswer: k**(-2725\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3310.861t?\nAnswer: 3310861000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2118, -2113, -2108, -2103, -2098, -2093?\nAnswer: -2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-45)*3)\/(24\/(-320))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 33 (b) -7724\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - ((0 - 4) + -7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 + (-1*sqrt(450) - sqrt(18)))\/(sqrt(36)\/(sqrt(12)\/sqrt(2)) - -5*-1*sqrt(6)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7)\/k*k*k**(-3))\/(k**0\/(k\/k**(-2))))\/((k\/(k\/(k*k\/(k\/(k*k**3))*k))*k**(2\/3)*k)\/(k**(-4)\/k*k*k\/(k**(2\/9)\/k)*k)) assuming k is positive.\nAnswer: k**(-134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 12*q**2 - 8*q + 1. Let x be i(14). Let d = x + -155. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 375?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215991, -431976, -647947, -863898, -1079823, -1295716, -1511571?\nAnswer: -1727382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 10 = 0. Is 11 a factor of ((-3)\/f)\/(3\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 14 = 3*h - 7, -b = -2*h + 14. What is the greatest common divisor of h and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + -0.3. Let z = l + 3. Let j = 4.3 + z. Round j to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + -321423023?\nAnswer: -321422330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/(-97))*310\/((-73470)\/(-711)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31176 is divided by 1301.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434797 is divided by 434772?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w + 31*w + d - 8 = 0, -5*w - 8 = -3*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 k when three letters picked without replacement from {g: 6, r: 1, k: 3, i: 1, l: 1, h: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1184676 and 75\/734.\nAnswer: 1184676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2543230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2586.59 and 0.\nAnswer: -2586.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 - j + 37. What is the remainder when 1957 is divided by c(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - (-7 - -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/4 + 2*w**3 - 3*w**2\/2 - w - 2. Calculate the remainder when 26 is divided by u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0.5. Let v = y + 2. What is the closest to 2 in v, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*c = -515*c - 7*w - 30, 2*c = w + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 13. Let b be n(6). Let k be (-27)\/(-12) + (-7)\/28 - -3. Sort b, 6, k, -5.\nAnswer: -5, b, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -118. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 65?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 3. Suppose 0*w - w = a + 10, -2*w + 5 = -3*a. Let y be d(a). Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -66 + 0 + 51.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -39. Let s = 28 - k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a - 6. Calculate g(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/207311 + 1314973653\/2073110. Let f = p - 3186\/5. What is the common denominator of 17\/3 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2)\/((-279)\/1569003) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000435743 to seven decimal places.\nAnswer: -0.0000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Suppose -2*n + n + y*m = -67, n - 5*m - 65 = 0. Let p = n - 50. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 0, -8 in decreasing order.\nAnswer: 7, 5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474353 or -474354?\nAnswer: -474353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**4 - t**3 + 4. Let y(h) = -5 - 107*h**4 + 104*h**4 + 2. Let r(v) = -3*w(v) - 4*y(v). Suppose r(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 1030?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r - 16 = 0. Let s = 46 - 47. Which is the smallest value? (a) 2\/5 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43040 - -123?\nAnswer: -42412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -312*d + 71. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3814946*i**3 + 12750002 wrt i.\nAnswer: 11444838*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 48 - 10 - 22 + 14*c + 13.\nAnswer: 14*c + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zizziiziizizzizziziz. Give prob of sequence izzi.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 26, -34, -120, -232, -370, -534?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3*a**2 - 22*a - 1334. What is j(5)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0 - 10*p**2 + 0*p**4 + 0*p**6 + 0*p**3 - 1\/840*p**7 + 0*p + 1\/240*p**5. Find j such that c(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0914 + -492.9086. Let l = w + 502. What is the third smallest value in l, -1, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -308 - 556. Let j be (-12)\/30*-10*(-2)\/r. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (67 - 39)*1\/4. Suppose 0 = w*f - 6 - 8. Suppose 0 = 3*c - 5*c + 10. Sort -1, c, f in decreasing order.\nAnswer: c, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -78 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - -512\/5. Put -7, c, 0 in descending order.\nAnswer: c, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 4 + 4 = 0. Let a(n) be the third derivative of -1\/96*n**4 - 4*n**2 - 1\/480*n**6 + 0*n + 1\/120*n**5 + 0*n**3 + l. Factor a(r).\nAnswer: -r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = r. Let z be (0\/(-3))\/(0 + r). What is the nearest to 0 in 1, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c23 (base 14) to base 4.\nAnswer: -2211313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 1, f: 2, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 + g**2 - 1. Let l be b(-1). Let k be (-6)\/(l\/(-2))*-2. Suppose -2*q + 6*d - k*d + 308 = 0, 0 = -4*q - d + 636. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -18. Suppose l - 3 = k, -2*k - k - 1 = -2*l. Suppose 0 = 2*h + l, -m + 2*h = 3*h - 5. What is the greatest common divisor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4268398 + y + 4268398.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + (-10)\/30. Suppose 3*c + 9 = f, 2*x = 16*c - 13*c - 3. Is -94\/13 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*u**3 - 15*b**3*u*w**3 + 8*b**3*u - 2*b**2*u**3*w - 176*b**2*u*w**2 + 2*b**2*w**2 - 2*u**3*w**3 wrt b?\nAnswer: 6*u**3 - 90*u*w**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose 3*l - 194 + 17 = w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 1 + 1)*(6 + 1 - 2)*(3 - 3 - 2).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) + -2 + 0 - sqrt(13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1979, -3929, -5881, -7835?\n\"Answer: -j**2 - 1947*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155190 and 19214?\nAnswer: 2017470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -25*a**3\/3 - 77*a - 4. Let u(f) = -2*f - f + f. Determine n(u(v)).\nAnswer: 100*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beem. Give prob of sequence bee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(-572)*(-1 - -45).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -81622*d**2 - 2*d + 2. Let k(f) = -24*f. Give x(k(i)).\nAnswer: -47014272*i**2 + 48*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 - 3*m + 7. Let n be b(-5). Suppose 4*c = 0, -14*g + 15*g - 2*c - 134 = 0. Let r = n + g. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*q = -534*q + 1892 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -745?\nAnswer: 4\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 244 = 3*l, -4*i = -2*l + 3*l - 965. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 4*c + 3. Let u be o(2). Let x = u - 6. What are the prime factors of 2 + x - (-25 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 130\/351*(-9)\/15. Sort b, -15, 3\/5 in increasing order.\nAnswer: -15, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -81 + (-108)\/51 + (1077\/51 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/2 + 6902955*d\/2 - 3451479 = 0. Calculate d.\nAnswer: -2300986, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393711.\nAnswer: 3, 263, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*a = -1635, 0*a = 4*p - 3*a - 1336. Let t be p\/(2 + (-9)\/6). List the prime factors of (-3)\/2 - t*(-5)\/20.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 21*o - 8. Let j be k(-9). Let t = -17 + j. Suppose 40 = t*y - 48. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 4*y + 3*y + (2 - 3 - 1)*(-y - y + 0*y) + 3*y - 5*y + 0*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1380 - 1372 = 4*x, 3*x + i - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026352960887 to four decimal places.\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210090 divided by 6?\nAnswer: 35015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lytflld. What is prob of picking 1 t and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 22. Suppose 2*b + 5*x = a, -3*b + 40 - 10 = 5*x. Let u(q) = -q**2 + 6*q - 5. Give u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*49885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 143 = 19*y, 5*r - 428 = 4*y - 215 - 133 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129006 - -129000.8023. Let n = r - -5.2. Round n to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 2*b**4 + 0*b**4 + (4*b**2 - 3*b**2 - 3*b**2)*(b**2 + 0 + 0) + 253*b**4 - 55*b**4 + 367*b**4.\nAnswer: 562*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(5 - 88\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8) + 378\/56. Suppose a - p - 6 = 3*i, a + i = -4. Find the first derivative of a*s + 8*s - 8*s + 17 - 16*s wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 6*d**2 + d + 3. Let s be k(-6). Let q be 5\/s - (8 + -7). Is q > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let f(d) = 5*d - 14. Let k(a) = 3*a - 15. Let c(h) = -2*f(h) + 3*k(h). Let v(p) = -9. Let s(y) = 3*c(y) - 5*v(y). Give s(i(r)).\nAnswer: -6*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c**2 - 8. Let n be q(0). Let t = n + 13. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h + 7*h**3 - 3*h + 4*h**3 wrt h.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = 5. Suppose 8 = 5*g - 2*y, 0 = -5*g - 2*y + n + 11. Suppose 2*d = -g*a + 276, -4*d - 3*a = -a - 562. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**2 - 11*m**3 - 32*m**2 + 16*m**2 + 3*m**3 + 2*m. Give s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4319\/56 - 77)*((-444)\/(-9))\/(-1)\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00142349 to five dps.\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:41 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - p - 4 = 0, 2*c + 182*p = 185*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 9:45 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 10:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.604892 days in weeks?\nAnswer: 1.943556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1326 + -111?\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 6*z**3 - 6*z**2 + 2*z.\nAnswer: -2*z*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 571555197 divided by 7056237?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-41)\/(-82)*(-3 - -9). Let k be ((-6)\/(-18))\/((-2)\/(-12)). Factor 2\/3*y**g - 8\/3*y + 8\/3 - 2\/3*y**k.\nAnswer: 2*(y - 2)*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5811 and 741415805?\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736)*3*2 + 2 + sqrt(2736) + 2)**2 + 2*(1*(sqrt(2736) + -1) - sqrt(2736) - (-1 + 0 + sqrt(2736)))**2.\nAnswer: 768*sqrt(19) + 180592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((3 + sqrt(1100) + sqrt(1100))*-1 + sqrt(1100) - sqrt(1100)))**2.\nAnswer: 120*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*a - 5*u = 98*a - 10, -u = 5*a - 14. Let c be (-3)\/5 - 88\/(-55). Suppose -2*k + 0 + 4 = 0. Solve k*v - a = c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -68*k - 54. What is the least common multiple of x(-3) and 20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by 100097.\nAnswer: -166\/100097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/4, -1978, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1\/4))**50*h**(2\/5)*h**(-1\/4)\/h*h assuming h is positive.\nAnswer: h**(2253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 1. Let v(i) = 5*i - 2. Let a(p) = 7*p - 3. Suppose 18*g = -59 + 5. Let l(t) = g*v(t) + 2*a(t). What is q(l(j))?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(21\/(-4)) - 402\/938.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 42.2306\nAnswer: 12.66918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/401277 and -28\/50991?\nAnswer: 9229371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 21*b - 8. What is r(13)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, g: 1, f: 7}. Give prob of sequence fgk.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-6)\/27*-3)\/(540\/30).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*0\/(-2). Suppose h + 2 = t. Let i be (-10*(-12)\/(-210))\/((-6)\/21). Solve -t*y = i*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/21*14\/(-8). Let c be (-24)\/10*2\/4. What is the third smallest value in c, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1663*-2098\nAnswer: -3488974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 533\/5. What is the third biggest value in b, 1\/4, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1429 take away 6771921508.5?\nAnswer: -6771921508.6429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -16*x - 39. Let z(i) = 13*i - 19*i + i**3 + 0 - x + 5*i**2. Give z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 8, 2, -20, -64, -136, -242, -388?\n\"Answer: -n**3 + n**2 + 8*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -226.56 times 0.3\nAnswer: -67.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -630 + 1175. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.937589 - 0.\nAnswer: 0.937589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 334 = 964. Let u = 3 + 10. Calculate the remainder when b is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14458582 to the power of 1\/2, to the nearest integer?\nAnswer: 3802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -1\/6, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -5*q**8\/56 - q**7\/14 - 14*q**6\/5 + q**4\/4 - 184*q**3 - 4*q + 1153. What is the third derivative of h(i) wrt i?\nAnswer: -600*i**3 - 180*i**2 - 2016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -46. Let x be 79\/(-36) + 2 + s\/(-40). Which is the closest to 1? (a) -2 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013 + -14343034?\nAnswer: -14344102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 + 4*i**3\/3 - 7*i**2\/2 + 4*i. Suppose 4*q = 2*q - 18. What is the lowest common multiple of 6 and p(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 1 g when three letters picked without replacement from {c: 1, g: 2, a: 1, w: 2, u: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*g + 13*g - 34*g)*(-12*g - g + g)*(-g + 2*g - 3*g) to q*g**2 + d*g + f + w*g**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.362 and -0.4?\nAnswer: 0.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + -69 + 68 + 106.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10356\/5 + -1015223\/490. What is the common denominator of r and -41\/154?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10808 + -11145. Is u <= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72955 + -1?\nAnswer: 72954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/(35\/40). Let l = 1.767 + 0.253. Let y = l + -0.02. Which is the second biggest value? (a) y (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = -5*q, 2*h + 7 = 2*q - 1. Let a be 6 + h - (13 - 10). What is the units digit of (-2 - -4) + 140 + -1*a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 34*h\/3 - 220\/3.\nAnswer: 2*(h - 5)*(h + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 1\/3*l**3 - l + 2 + 1\/12*l**4 + 1\/2*l**2. Let x(q) be the first derivative of i(q). Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -0*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9558 + -3423. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + -2 + (-8)\/24. What is the closest to t in -0.2, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -304, -298, -294, -292, -292?\n\"Answer: -k**2 + 9*k - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -1211, -2887, -5431, -8957, -13579, -19411, -26567?\nAnswer: -35161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**3 - 3*g + 3. Let v = -82 + 83. Calculate the remainder when 206 is divided by h(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 1 - 1)*(a - 2*a + 2*a) - 26 + 5*a**2 + 26 + (-3 + 0 + 1)*(0*a**2 + a**2 - 2*a**2) - 2*a**2 + 5*a**2 + 2*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 61*z - 95. Calculate n(-32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, f: 2, k: 1, w: 2, m: 1, x: 5}. Give prob of sequence yfkw.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14100 and 13660.\nAnswer: 9630300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + -3*136\/36 - (-2)\/6. Let t(z) be the third derivative of -z**2 + 0*z - 4\/3*z**3 - 1\/24*z**4 + 0. Give t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z. Suppose -3*c + 7 + 11 = 0. Suppose -5*i - w + 18 = 0, -4*i + z*w = -2*w - c. Solve 13 - 4 = -2*l + 3*j, 4*l + i*j = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*j + 13, 0*j - 2*l - 7 = j. Let m be 6*(j + (-10)\/(-3)). Which is the nearest to -1\/3? (a) m (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17589 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -48076.7794 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6264 + 6265. Put -1\/3, 29, d in decreasing order.\nAnswer: 29, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 7*k + 9. Let i be b(-4). Solve 2 = 3*r - i*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-2) - 324\/(-4) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 2.02. Let i = 96 + -96.41. Let x = i + 0.01. Which is the third biggest value? (a) -2 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011012 (base 3) to base 2.\nAnswer: -11000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*-6.10194\nAnswer: 42.71358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/560)\/((-1768)\/255)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299888882851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/24 - (238\/12)\/(-7). Solve q = -h - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (2 - ((-10)\/(-95) + (-186)\/(-38)))*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**2 + 17*t + 4. Let p(y) be the first derivative of 5*y**3\/3 + 4*y**2 + 2*y + 10. Give 6*d(a) - 13*p(a).\nAnswer: a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 48. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314100*z**3 - 2767*z**2 + 11*z - 1?\nAnswer: -1884600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {h: 1, d: 2, o: 2, z: 3, c: 9}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.39277885 - 2\nAnswer: -1.60722115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31420 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199 + 611882469.\nAnswer: 611882668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))**(-24)*(l**(-2\/5))**(-6\/7) assuming l is positive.\nAnswer: l**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3070 - 5999 + 13*p**2 + 2929.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 1.07.\nAnswer: 0.0856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 10002\nAnswer: -50010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 5*g - 1. Let k be o(6). Suppose -24 = -3*h + 7*h + 2*y, 3*y - 27 = 3*h. Is h bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*s - 62*s**2 + 201*s as z*s + b + v*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v + 146 + 1 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-4)\/(-6)*-3. Let p = 0 - j. Calculate the common denominator of (41\/2)\/(0 + p) and 6\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6960508 and 9376?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -9. Let c(y) = -6*y - 4. Let b(z) = -5*z - 3. Let m(r) = -5*b(r) + 4*c(r). Let h(i) = -8*i + 12. Let t(l) = h(l) + 6*m(l). Determine t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 46. Suppose 9*y = t*y - 2058. Calculate the smallest common multiple of 112 and y.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 364, 558?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 588*t**2 - 570*t**2 + 3*t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 5*o - 8. Let d(n) be the first derivative of -7*n**3\/3 - 3*n**2 + 7*n - 8137. Calculate -3*d(s) - 4*y(s).\nAnswer: -3*s**2 - 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h + 5*c = 21*h + 18*h + 65, 3*c = -4*h + 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**2 + 5*k - 3. Let p(u) = 26*u**2 + 8*u - 4. Let i(s) = -8*a(s) + 5*p(s). Find the first derivative of i(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(96)\/sqrt(3)) + (sqrt(24)\/(sqrt(12) - sqrt(432)) - (sqrt(10)*-3)\/sqrt(5)).\nAnswer: 12 + 94*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + m + q = 19, 5*m + 3*q = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25685 divided by -18?\nAnswer: 25685\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -33. Suppose -4*t - 382 + 84 = -2*w, w = t + 75. Let v = t + 224\/3. Which is the closest to -2\/3? (a) i (b) v (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -104. Suppose -2*y + r = -178. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150 and -744.\nAnswer: -111600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - (0 + sqrt(2736))) + -1 - sqrt(2736) - sqrt(2736))**2*-1.\nAnswer: -2737 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g - 1. Let t be (g\/3)\/(2\/18). Suppose -3*k + t = k. Solve 0 = -k*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10663 + 10658 = -5*p, -77 = 3*v + 2*v + 3*p for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - (7 + -14 + (1 - -15))) + (-4 - 1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421640 >= 1421629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 1, n: 3, t: 2, u: 4, o: 4}. Give prob of sequence uqut.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 29*t**2 + 3*t + 100. Suppose 4*a + 1 = 197. Calculate the remainder when a is divided by y(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*j + 137 = 0, 0*z + 2*j = -z + 31. Calculate the greatest common factor of 507 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 16*v**2 + 16*v + 1. Let u be q(15). Suppose 0 = 2*w - u + 4. What is the units digit of 61 - w - (-1 + (-1 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * 0.342\nAnswer: -0.17442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 - 5*q - q**2 - 4*q**2)*(0 - 1 - 6*q + 4*q) as h*q + r*q**2 + d*q**3 + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2002\/2859?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-257)\/5 + (-54)\/(-135). Let j = v + 53. Solve 4*s + j*k = 5*k, 3*s + 13 = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(567) + sqrt(171) + (sqrt(171) + -1 + sqrt(171))**2 + sqrt(171).\nAnswer: -53*sqrt(19)\/9 + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 764\/(-9550) - (-34)\/(-200).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137552 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -167. List the prime factors of (-2)\/6 - r\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbjjbf. Give prob of picking 1 f and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 2832.78158.\nAnswer: 2828.78158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5935 + 5907 + (2 - 996\/(-38))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100231210 - -10?\nAnswer: -100231200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 10*w**6\/3 - 353*w**4\/24 + 234*w**2. Find the second derivative of g(i) wrt i.\nAnswer: 2400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let a(b) = -b**2 - 2*b - 3. Let n be a(w). Let d be (-8)\/(-6)*n\/(-2). Solve 3*y = d*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-43 - -40) + (-44 - 1). Is t greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.112 and -1?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**4 - 9903561*q**3 - 383457145*q**2?\nAnswer: -96*q - 59421366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 33. Let s(n) = -n**2 + 30*n - 84. Let y be s(18). What is the highest common factor of y and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451267 is divided by 224693?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8 + 19 + 7*g + 1 - 2*g**2 - 7*g**2 + 5*g**3 - 6. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-29)\/(-58)*(-300)\/(-1128) and -89\/116.\nAnswer: 5452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030498101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288356 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: Let r = 61109 + -31535. What are the prime factors of r?\nAnswer: 2, 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-11)\/(-132)*-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(1008) - ((sqrt(7) - (0 + sqrt(448))) + -2)**2.\nAnswer: -346 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.6994?\nAnswer: -0.3994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50116 (base 7) in base 15?\nAnswer: 3897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 13*y**2 - 50*y - 18. Let h be m(-10). Solve h*x = 191*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -1057, -1803, -2549, -3295?\nAnswer: -4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 673?\nAnswer: 2\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403061*t**2 - 403076*t**2 + 1 - 3.\nAnswer: -15*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*u - 139?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321301020 + 2101?\nAnswer: 3321303121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -17926.\nAnswer: -2\/8963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2186 and -4.\nAnswer: -8744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 2*k - 10, 2*n = 4*k - 24. Solve 0 = -3*t - k - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13217 = 26435\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*z + 2, -2*n + 2*z + 3 = 5*z. Suppose -2*y + 5*q = -0 - 8, 0 = -3*y + 3*q + 21. Let g = -6 + y. What is the closest to 1\/3 in g, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-171)\/437\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/56 - 5\/(-2). Let m(q) be the third derivative of q**3 + 0*q - 7\/24*q**4 + 5*q**z - 1\/60*q**5 + 0. What is m(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536, 525, 490, 419, 300, 121, -130?\n\"Answer: -2*p**3 + 3*p + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4.694, 5, -107 in descending order.\nAnswer: 5, 0.3, -4.694, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201534 (base 9) in base 6?\nAnswer: -21540304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 5)*2739\/(-55) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*l**2 + 77*l**2 + 6 - 6 to the form x*l**2 + d + g*l and give x.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/34 (b) -0.75 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.255 + 4.185. Let s = b - 4.4. Round s to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 0*a)*(-84 + 21 - 7)*(5 - 5 + 6*a**4).\nAnswer: 420*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 4*a + 3. Suppose 3*q - 2 = -5. Let c be m(q). Let s = 2.4 - 2. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((63\/1512)\/((36\/(-6))\/54)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/57456000 and -107\/3960?\nAnswer: 632016000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*d = 611 + 594 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 9. Calculate d(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158.4 and 0.21311?\nAnswer: -33.756624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 407974991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**3\/2 - 2*g**2 + 31*g. Let o be p(-1). Let k = -3\/7 - -43\/133. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -0.03, -0.2, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212676 and 24?\nAnswer: 425352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 422, 767, 1250?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 + 7*a - 8. Let k be b(6). Let w(t) = -2*t. Let l(m) = m - 1. Let j(i) = -2*l(i) + w(i). Let n(p) = -p**2 - p + 1. Give k*n(d) + j(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110001?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841 less than 5786?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/15)*p**(-2\/37)*p)\/(p\/p**(-12)*p**(3\/2)*p))**(-2\/113) assuming p is positive.\nAnswer: p**(14897\/62715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.163, -0.3, -26 in decreasing order.\nAnswer: 0.2, -0.163, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 4. Let m = -4667 - -4656. What is the smallest value in m, -0.4, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-15))\/((-1)\/(-5)). Let r = 15 - 9. Let i = l + r. Calculate the remainder when 29 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24356)\/3*(-2 - 2996\/8). Let z = -1758678 + o. Round z to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.90236 minus -513?\nAnswer: 646.90236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182670 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 70*p**2 - 88*p**2 + 38*p**2.\nAnswer: -113*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16260 - -16265. Let w(h) = -h**3 + 2*h**2 + 5. Let a(c) = c**3 - 3*c**2 - 6. What is x*a(d) + 6*w(d)?\nAnswer: -d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/31)*h\/(((h*h\/(((h*h*(h*h**(-20))\/h)\/h)\/h)*h)\/h)\/h)*h*(h\/h**(-3\/7))\/h*(h\/h**11)\/h*h)**(-36) assuming h is positive.\nAnswer: h**(222696\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 12201?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 211.58229ms?\nAnswer: 0.0035263715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 3. Let j(x) = -x**3 - 6*x**2 - 5*x - 6. Let m be j(-5). Is t(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 620*b + 22791. Determine z(159).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a016756 - 3?\nAnswer: -a016759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 43472*r + 260836\/3.\nAnswer: -(r - 130418)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116\/36 + (-4)\/18. Suppose -o - 4 = -5*o. Suppose -2*x = l*x + 4*b + o, 3*b = -2*x - 6. Solve k + 10 = 2*c, -x*c + 6 = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33 + 43*y**2 - 33 + 23*y wrt y?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -225 (b) -4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 + 2. Let r(g) = 176*g. Let u(l) = -325*l. Let b(n) = -13*r(n) - 7*u(n). Give b(q(w)).\nAnswer: 65*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s + 10 = 47*s. Let b = s - -34. What is the greatest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/720 - p**5\/40 - p**4\/4 + 4*p**2. Let f(l) be the second derivative of s(l). What is f(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 25*n - 4. Let v be d(12). What is the greatest common divisor of v and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/2 + 30*q**3 + q**2 - 94*q + 1865. Give u(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 6) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 - w - 1. Calculate b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 25*o + o**3 + 19*o - 13 - 29*o - 15*o**2. Suppose 10*h - 5*h + 17*h = 308. Give k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*y = 838*y + 3924 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 44*b**2 - 8*b - 12. Let y be g(-8). Let n = 720 + y. Solve s - n*r - 11 = 0, 0*s - 2*r = -3*s - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7917 and 20.\nAnswer: 158340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60446504991 plus -0.04?\nAnswer: -60446504991.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-8)\/k)\/(k\/(k*k**(-2\/31))))\/(k**(4\/11)*(k\/k**(-1\/3))\/k))**(-7\/2) assuming k is positive.\nAnswer: k**(62741\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -23. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m = 238 - 218 + 259 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29664726 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 46 + 6 = 0. What is the derivative of -26*t**3 - 4 + n*t**3 + t**4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppepkkppkkppkkpgpkk. What is prob of sequence kke?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -29*q**2 + 8*q + 17. Let j(x) be the second derivative of -5*x**4\/6 + x**3\/2 + 3*x**2 - 18*x - 1. Give -8*j(t) + 3*s(t).\nAnswer: -7*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*j**3 - 22*j**2 - 3*j**2 + j**3 wrt j?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k + 5. Let j(y) = -4*y + 2. Let s be -5*6\/(-30)*2. Let n(q) = s*o(q) - 3*j(q). Let b(u) = -3*u. Give n(b(v)).\nAnswer: -6*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/2 + 8365\/8820 and 101\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -0.03853 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 13*r + 6. Let s be 7*(1\/(-3))\/(2\/(-6)). Let m be j(s). Let q be (1\/(1 - 2))\/(-19). Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-24)*1*-2. Let h = -5 + 9. Is h equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 794 + -745. Let r be (-9)\/(-6)*16\/30. What is the third biggest value in -2\/7, q, r, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 24*n + 31. Let k be r(-9). Is -103 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 5. Let s be g(7). Let d = -6 - -10. What is the third derivative of 5*c**4 - 5*c**d + 2*c**s - c**4 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:32 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 45. Suppose 0 = 6*g + 3*g - c. Calculate the common denominator of (((-16)\/(-54))\/4)\/(g\/(-18)) and 2\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312506868 by -4.\nAnswer: -78126717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -0.5, 6\/43 in descending order.\nAnswer: 6\/43, -0.5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*f + 1 = -0*f, 0 = -4*j + 4*f - 8. Let c be 1 + -4*j\/2. Suppose -5*r + c*a + 178 = 0, 0 = 5*r + 5*a - 155 - 15. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2 + 0 + 19*j - 20*j. Let y be f(1). Let w be (y + 2 + 17)\/7. Is 3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2767 less than 1536635382?\nAnswer: 1536632615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -133*v**5\/20 + 49*v**2\/2 + 3080*v. Let p(o) = -11*o**3 + 4. Give 49*p(x) - 4*u(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 bigger than -3.158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:13 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 16033267 - 16033267.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -21\/4, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066 = 12*n + 1126 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 8 - 12*z - 8 - 6 - 13 + 42 in the form x*z**2 + k + r*z and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236 - -309. What is the remainder when v is divided by 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 0 in ascending order.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6743 - -20c?\nAnswer: 6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.492576ug to tonnes.\nAnswer: 0.000000000008492576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 946481177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-1 - (-12)\/2). Suppose -a = 2*a - 138. Let g = a - 31. Solve 0 = -3*f - 3 + g, k*s + 36 = 5*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c = -101*c - 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -3893?\nAnswer: -3892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45013277 a multiple of 1909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 3*p - 5.\nAnswer: -(p + 2)*(p + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 10*f**2 - 7*f + 12. What are the prime factors of v(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.516371938 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10863 less than -266819.6?\nAnswer: -277682.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0524605263 - 484\nAnswer: -483.9475394737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/8, -3, 5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 - 28*v - 13. Let n be m(-9). Let k(p) = -p**3 - 7*p**2 - 12*p + 7. Calculate k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - 2*g**2 + 4*g**2. Let b(m) be the first derivative of m**6\/360 - 49*m**3\/3 - 46. Let f(j) be the third derivative of b(j). What is f(w(h))?\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2628 is divided by 1614.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.2 in 2, 0.0283, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-21)\/(-3) - (12 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 0*z + 0*z)*(-21445 - 13034 + 4591 - 11698 - 2789) to the form i*z + s + g*z**2 and give g.\nAnswer: -44375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.73. Round s to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-20) - 465\/6. Let b be -8*6\/(72\/y). Calculate the greatest common divisor of 26 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -311 + 86. List the prime factors of -4 - h\/54 - (-11)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 0*a**2 + 486*a**3 - a + a.\nAnswer: 486*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/((2*175\/(-300))\/(2\/(-24))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 3*k - 2*k + (3*k - 2*k - 3*k)*(3 - 2 + 0) + (3 - 3 - 2*k)*(2 - 3 + 2) + 2 - 2 - 2*k to v + r*k and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + (-2 - (8 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13082 - 12210. What is the least common multiple of 327 and a?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539 divided by 77\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3 - 1451886\/409497 - (-12)\/22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 0)*(-2)\/2. Let o be (-1)\/u - (-2237)\/3. Suppose 0 = -3*x + 5*s + o, -x + 247 = s - 3*s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 1. Let m(h) = h + 1. Let u(s) = -4*g(s) + 9*m(s). Let w be (8*(-4)\/40)\/(2\/(-15)). What is the remainder when u(w) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642143 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1457 at most -10189\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9894?\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (51191 - 36) + -1 + 6 + 6\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211791204 a multiple of 6515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 7 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*r + 70 = -502*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1897 + 1897. What is the biggest value in -1\/6, x, -2, 0.376?\nAnswer: 0.376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/16)\/(((-303)\/114)\/(-2 + 6)). Does -0.1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100293, 2, -1 in descending order.\nAnswer: 100293, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by -175.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10\/3, -1\/2, 5, -3\/4 in descending order.\nAnswer: 5, 10\/3, -1\/2, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344 and 626338.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678298520?\nAnswer: 2, 5, 23, 737281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276012 by -69003.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 3.59. Let s = p + -0.99. Is s less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2. Let t(i) = -26*i**2 - i + 11. Calculate -8*k(m) + 2*t(m).\nAnswer: -108*m**2 - 2*m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11565742 divided by 33427.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-960))\/(2\/(-12))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22773.64717 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 3*y**2 + 0*y**3 - 34 + 0*y + 5\/4*y**4. Find the second derivative of b(o) wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5*p**3\/3 + 3*p**2 + 10. Let a(j) = 14*j**2 - 17*j. Give -4*a(z) - 11*k(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-2)\/12). Let i be 3\/(-2)*(-4 + 2). Solve 5*k - 15 = 3*f, -k + i = -0*k + y*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-11 - 1 - (-8 + -3 - -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a**4 + 582*a**3 - 45*a**2 - 24*a = 0 for a.\nAnswer: -1\/6, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -376 - -214a?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - (-10150)\/(-200))*16.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.24 - -4.2400009. Round t to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4336 + 4330. What is the third smallest value in 3, -12\/5, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0451494 times 11.2\nAnswer: 0.50567328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 1294*y**2 - 51*y + 39. Is d(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let i(y) = -22 - y + 23 - f*y**2 + y**2. Calculate i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**3\/6 - 884*o**2. Let w(b) = 2*b + 14. Suppose 118 + 50 = 6*u. Calculate u*r(s) + 2*w(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/32 and -3\/272.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.6846g in tonnes?\nAnswer: 0.0005156846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382395781.84 - 4?\nAnswer: -1382395785.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*v**2 + b*v - 22880*b + 113*v**3 - 1 wrt v.\nAnswer: 4*b*v + b + 339*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 - 2*o. Let i(c) = -c**3 + c**2 + 2*c + 1. Let p be i(-1). Let m = 3 + p. Let t be k(m). What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(234\/20)*5544\/(-4620)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(9\/513). Let x = -32 + c. Which is greater: 7 or x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/2263 + 133597\/45260. Let k(p) = -p**2 - 5*p - 4. Let y be k(-3). Find the common denominator of z and (8\/(-256))\/(y\/(-292)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*b - 0*b + 19, 0 = 4*h + b + 13. Suppose 4*k + 707 = 3*d, k + 0*k - 1186 = -5*d. Let j(v) = -234 - 2*v**2 + d + v + 2*v. Give j(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(133) - -3*(sqrt(133) - sqrt(133)*2)))\/((-1*sqrt(1008) + sqrt(1008) - sqrt(1008)) + sqrt(1008) - sqrt(70)\/(sqrt(10)*1)).\nAnswer: 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p**8*p)*p))\/p)\/p*p*p*p**8*p*p*p)**21*((p\/(p*p**(-1)))**45)**(36\/5) assuming p is positive.\nAnswer: p**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Suppose s = 3*g - 8, g + o + 4 = 3*s. Suppose -g*v + 560020 = 5*u, -4*v = 2*u - 3*u - 559996. What is v rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -180*a + 31. Let r(n) = -8*n. Calculate t(r(w)).\nAnswer: 1440*w + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/478 and 67\/6.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2998, 12, 1\/29, 3?\nAnswer: 2998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -3 (b) 7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3284084?\nAnswer: 2, 251, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 67 + 149. Solve -c = -10*k + 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + -7 - -25) + 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004061501 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/60 - 58*t**5\/15 - 229*t**4\/12 - 38*t**3 - t**2 + 291*t. Determine w, given that y(w) = 0.\nAnswer: -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1301223, 5204798, 11710737, 20819028, 32529659, 46842618, 63757893, 83275472?\nAnswer: 105395343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 66*k - 212. Let g be h(-36). Let c(i) = i**2 - 6*i + 5. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84827\/22 + 3854. Find the common denominator of t and -97\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 2*d + 4. Let o(z) = 1. Let n = 26 + -4. Suppose 4*l + 6*p = 3*p, n = -2*l + 4*p. What is l*o(c) + b(c)?\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*h + 24 = 0, 2*c + 232*h - 16 = 233*h. Let s(m) = -6*m + 26. Let y be (-2 + 15\/12)*4. Let k(f) = -2*f + 9. What is c*k(b) + y*s(b)?\nAnswer: 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 4. Let i be z(9). Suppose 0 = y - i*l - 3, 1 - 4 = -y + l. Suppose -p + 4 = y*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307984664 to the nearest integer?\nAnswer: 17549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 27*z + 97. Calculate s(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -25*a + 185. Let f(c) = -c**2 + 17*c - 13. Calculate the remainder when f(12) is divided by r(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5236 and 676?\nAnswer: 884884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2500 and 486417500.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211210 (base 3) in base 4?\nAnswer: -223302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(19)) - (-3*sqrt(19) + 4).\nAnswer: -14 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = f, 4*f + 7 = 27. Suppose -c + 9631585 = 2*l - 1168418, -o*l = -c - 21599997. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -744 and -44.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1526*g**5 + 2999*g**4 + 2*g - 14047485?\nAnswer: -30520*g**3 + 35988*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:20 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k**2. Let s be 2\/6 - 18\/(-27). Let y(z) = -s - 2*z + 1. Calculate t(y(j)).\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(704) + (-2*sqrt(704) + 3 - sqrt(704)) - -1*(sqrt(704) + 1))*5*5)**2.\nAnswer: -40000*sqrt(11) + 450000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20286 divided by -7?\nAnswer: -2898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 29995.\nAnswer: 6\/29995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -14. Let s be ((-1)\/(-3))\/((-12)\/q). Suppose 4*j - 10 = -2*i, 0 = -0*j - 3*j + 9. Is i bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773008359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62149611 a multiple of 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 91.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1819*f - 50930. What is i(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23022, 45832, 68638, 91440, 114238, 137032, 159822?\n\"Answer: -2*l**2 + 22816*l + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 489, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:20 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 64. Let u = 1507 - 1075. Suppose -3*c = -3*n + n - u, 5*c = -4*n + 720. Calculate the greatest common divisor of c and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5461?\nAnswer: 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4247 and 2431065.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 18, 22, 22, 18, 10, -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/12 - y**3 + 7*y**2 - 43*y - 85. What is x(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/2 + 4*n**2 - 5*n. Let u be r(10). Suppose -94 - u = -2*b. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91157305 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13304251 (base 6) in base 16?\nAnswer: 6c727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 3936*d**2 + 689472*d.\nAnswer: 4*d*(d - 756)*(d - 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13067 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + -5*(sqrt(432)*-1 + 5)*-3)**2.\nAnswer: -206568 + 56160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423.8262 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-5) + 17\/85. Let r(z) = -z**2 + 3*z. Determine r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 12*i + 332. Let y = i - -140. What is the remainder when y is divided by 138\/7 - 6\/(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:02 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 + 2*a + 5. List the prime factors of l(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 45, 53, 59, 63, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -468, -459, -436, -393, -324, -223, -84?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2)*4)\/((-8)\/(-52)). Factor -49*a - 5*a - 9*a - 32*a**2 - z*a + 4*a**3 - 40.\nAnswer: 4*(a - 10)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/18)\/7)\/((-117)\/(-54)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/2*(-327 + 13)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 2. Suppose 0 = 1282*k - 1293*k - 44. Give b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75843845 is divided by 424?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 2\/3, 0.06, -2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/7 - 207612*j**3 - 21798906*j**2\/7 - 9965152*j + 93008256\/7 = 0.\nAnswer: -726627, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -1\/4 (c) 3\/31 (d) 4 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 0, 2, 1, 7 in descending order.\nAnswer: 7, 4, 2, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516241 is divided by 4258.\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 159, 433, 831, 1353, 1999, 2769?\nAnswer: 3663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 13*x - 13. Let q be h(-11). Let t = 4 + -4.5. Which is the nearest to 0.1? (a) q (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 - 289. List the prime factors of (-6 + 85\/h)*332\/2.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2841 divide 47606637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/10*17\/((-51)\/45).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2982, -11835, -26578, -47211, -73734, -106147, -144450?\nAnswer: -188643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Suppose -3*k + 4*y + 36 = k, -y = j*k - 30. Suppose 2*u - 28 = 50. Calculate the highest common factor of u and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 140865570.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46858 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3267101 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 842a8932 - 2?\nAnswer: 842a8930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003766915 to seven dps.\nAnswer: 0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**2*u + 1081*g**2 - 22*g*u + 187*g wrt g.\nAnswer: -12*u + 2162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*y + 2*m, -3*y - 3*m - 4 = 12 - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 104196600*a - 3618977150520000.\nAnswer: -3*(a - 69464400)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-1)\/3*(9 + -603)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2)\/4*(-32)\/(-4). Suppose 4*p - d = 10. Solve p*t = -1 - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*o**3 - 580*o - 1 + 580*o + (1 - 3 + 1)*(8*o**3 - 4*o**3 + 0*o**3).\nAnswer: -27*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 3, j: 1, l: 2, h: 1, x: 4}. Give prob of picking 2 n, 1 d, and 1 l.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-25)*-5*(-1)\/(-2). Let t = 5 + -13. Let h = -11 - t. Which is the third smallest value? (a) -0.3 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16482605 or 18?\nAnswer: -16482605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2975)\/(-6) - ((-55)\/(-30) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/30 - 103*w**4\/4 + 668*w**2. Factor r(a).\nAnswer: 2*a*(a - 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 2*t**3 + t**3 + (-5*t + 2*t - t)*(0*t + 3*t**2 + 0*t) - 4*t + 4*t - 3*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -786, -1774, -3148, -4902?\nAnswer: -7030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 408 or 137505\/337?\nAnswer: 137505\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 1. What is a(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405049.\nAnswer: 405049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - 26*p**3 + 204*p**2 - 374*p - 605 = 0. What is p?\nAnswer: -1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**3 - 7*i**2 + 7*i + 2. Let s(b) be the first derivative of b**4\/4 - b**3\/3 + b**2\/2 - 7084. Give d(c) - 5*s(c).\nAnswer: 5*c**3 - 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + (-6279)\/156)*(-50 - -2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143063?\nAnswer: 143063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14822.\nAnswer: 2, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**8*a*a**33*(a**(-24)\/a)**(-12\/17) assuming a is positive.\nAnswer: a**(776\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = -2*h. Let r be (-1)\/h + 114\/30. Solve 0*w + w + 17 = -5*z, r*z = -2*w - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z**2 - z**2 + 4*z + 6*z**2 + 3*z**2. Let a(k) = k**2. Determine j(a(x)).\nAnswer: 15*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((200\/32)\/(-25))\/((-671)\/488)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1919*b**2 + 19*b + 2*b**3 + 1919*b**2 as o*b**3 + f + q*b + j*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8756260?\nAnswer: 2, 5, 29, 31, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3 - 4*d - 5*d**3 - 1 + d**3. Let l(g) be the first derivative of -13*g**4\/4 - 13*g**2\/2 + 7*g + 35543. Calculate -2*l(k) + 7*y(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -69. Suppose 4*x - 81 = u. Calculate the remainder when x is divided by -7*4\/(-42)*15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*n**2 - 161*n**2 - 101*n**2 - 160*n**2 in the form v*n + g + u*n**2 and give u.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from rrroroorororo?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 8*s**2 - 13. Let n be c(-9). Let r = n + -2. Let o = r - 34. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0388 - 3.0612. Round c to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/(6\/4770). What is the hundreds digit of j*(5\/(-12) - 6\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -142, -1901, -6672, -15961, -31274, -54117?\n\"Answer: -251*p**3 - 2*p + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 divided by -73?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190614*d + 0 + 0 - 24238*d.\nAnswer: -214852*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 2286?\nAnswer: -2286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3056 and -13\/12.\nAnswer: 9168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/156*13*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17666 divided by -15875.\nAnswer: -17666\/15875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 146983058 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.5059+3.0070323\nAnswer: 1.5011323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001111 - 1010101?\nAnswer: 101000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 56*d**2 - 194*d - 3840. Is g(-27) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43340 (base 5) in base 7?\nAnswer: 11442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-21)\/(-28)*56\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 divided by 877?\nAnswer: -427\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -4 in ascending order.\nAnswer: -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4 + 36*l**3 + 108*l**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22468 divided by -23\nAnswer: 22468\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084434292 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 11. Let z be t(3). Let q(k) = -6*k**2 + 6 - k**3 + k**2 - 1. What is q(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.239, 14426, -2\/3.\nAnswer: -2\/3, 0.239, 14426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/3 + 107248*b**4 + 965246*b**3\/3 + 214500*b**2 = 0. Calculate b.\nAnswer: -2, -1, 0, 160875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*m + 78 = 0, 0 = 3*x + 8*m - 4*m - 159. Calculate the remainder when 1979 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -11. Is (-3 - -5)*(-638)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2 - 29*y + 7. Let z be p(-4). Which is the biggest value? (a) 0.1 (b) 10 (c) z (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:04 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a**3 + 3 - 22*a**3 + 25*a**3 - 3.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 74*k**2 + 592*k - 5. Determine z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-9) - 4\/6. Suppose -f + 0 = -4, 0 = -4*y - b*f + 1184. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = b + 20 + 17, -5*t = -2*b - 90. Let h = 27 - t. Let f(q) = 12*q**2 + 4*q**2 - h*q**2. Let n(u) = -2*u**2. Give n(f(y)).\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 434 = 390. Suppose -4*y - a*z = -96, 2*y + 5*z - 63 = -0*y. Solve -4*p + 1 = -y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 9. Let s be t(-7). Put s, -3, 1\/3, -0.5, 6 in descending order.\nAnswer: 6, s, 1\/3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -1788, -5977, -14106, -27483, -47416, -75213?\nAnswer: -112182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -175b5e (base 15) in base 6?\nAnswer: -40142125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 10*v + 139. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 4028c?\nAnswer: -40299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 16 = -5*n. Let v be -5 - -11 - (-16)\/2. Suppose -4*i + 10 = -2*i. Solve n*q - 3*q = -2*o - 1, i*o = -q - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 + 1528091*l**4 + 7*l**3 - 10909*l**2 - 926?\nAnswer: 120*l**3 + 36674184*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62165 (base 13) to base 11.\nAnswer: -110271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8293275.\nAnswer: 3, 5, 29, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1274*f**4 + 35*f**3 + 30*f - 13. Let p(z) = -425*z**4 + 10*z**3 + 10*z - 4. Let m(j) = 7*p(j) - 2*u(j). Find the second derivative of m(y) wrt y.\nAnswer: -5124*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3456 (c) -1 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 18*p - 17. Let x be c(-20). Let b = 14 - x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 118*r + 467. Let v be d(-2). Is v < 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*v, 4*v = 3*d + 2. Let x = 152 + -152. Suppose j - 11 = d*n - 4*j, x = 4*j - 12. Let w(i) = -5*i + 2. What is w(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -5. Let h be 15\/s*(-8)\/(-10). Let u = h + 6. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5838292 divided by -47083.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62852.\nAnswer: 2, 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -125*u - 87. What are the prime factors of i(-26)?\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 29 - 9 = 0. Let b = 10 - p. Let c(w) = -4*w**2 + 6*w**2 + 2*w**2 + 3*w. Let l(m) = -9*m**2 - 7*m. Give b*c(f) + 2*l(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 23127?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09401 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let g = f - 3. Let q = -44 + 49. Which is the nearest to 0? (a) g (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4158 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/13299 and -19\/8463.\nAnswer: 93093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 0)*(3 + 3 - 4)*(-5*o + 2*o + 0*o)*(-100*o - 2*o + 10*o).\nAnswer: 3312*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 = -405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27390713 is divided by 34153.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/385 and 121\/32567430.\nAnswer: 358241730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 4*t + 17 - 23 to n + b*t and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/288 - (-16)\/(-72)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*t = -26, a - 2*t - 2*t = 24. Solve 0 = -11*r + a + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 7*o + 4. Let g = -8 + 9. Suppose -4*a + 5*t - 18 = 0, 3*t = a - 4*a. Let q(k) = k**2. Let m(j) = a*q(j) + g*v(j). What is m(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55528, 54587, 53020, 50827, 48008?\nAnswer: 44563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 1. Suppose 2 = 3*o - 1. What is the closest to q in o, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*s - 105*a**3 + 31*a**2*s - a*s + 16*a + 30 wrt a.\nAnswer: 6*a*s - 630*a + 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -98193553.84 to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2 - 2 + 3 - 3 + 0 + 2 - 3 + (2 - 5 + 2)*(-1 - 1 + 4) + 2 + 3 - 4 - 2 + 5 - 2 - 2 + 5 - 2)*(0*x - x + 9 + 2*x) as f + i*x and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 112 = p, 2*p - 7 = 1. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1694\/(-462))\/(11\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 4:10 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 0.05. Let m = 211\/7 - 2813\/91. What is the nearest to k in -1\/6, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7)**(-41)*(i**(-8)\/i)**(2\/123) assuming i is positive.\nAnswer: i**(-11773\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -715130347 to the nearest one hundred thousand.\nAnswer: -715100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 68787 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - u - 3*n, 2*u + 4*n = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -689 and -6.5?\nAnswer: 4478.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710.1456 microseconds in hours?\nAnswer: 0.000001030596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-2)*24\/(-16). Let v = u - -11. Determine h so that 0 - 2\/9*h**v - 2\/9*h**5 + 2\/9*h**3 + 2\/9*h**4 + 0*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 27.690617875291.\nAnswer: 27.790617875291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174329533*g**3 - 962*g**2 - 26728.\nAnswer: 1045977198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 9*m + 6. Let b be n(-7). Let t = -3 - b. Let w = 0 + t. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m**2 - m - 3. Let b(q) = -15*q**2 - 138*q - 18. Let j be b(-9). Let t(w) = -4*w**2 - 1. What is j*t(c) - 2*d(c)?\nAnswer: -2*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4055 - -790. Is s a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1612*l - 26047 - 315*l + 26047 to x*l + u and give x.\nAnswer: -1927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 22. Let v be t - (1 + 2 + -3). Suppose -4*m = -3*i - 122, 0 = 2*m + v*i + i - 52. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, y: 2, i: 1, w: 1, a: 2}. What is prob of picking 1 i, 1 a, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:50 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9953 and -7.359?\nAnswer: -73244.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 52257, -114, 5, -4 in decreasing order.\nAnswer: 52257, 5, -4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3 (b) -4\/15 (c) 0.0346 (d) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a - 2*l, 4*l + 15 = -4*a + 3. Suppose -a*o + 3*o = 0. Suppose 2 + o = b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*i - 1, 516*i + 4*j + 1 = 515*i. What is the nearest to i in 33, -1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -27 - (-8 + (2 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213954 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148861894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 316, 465, 610, 751?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:21 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(2 - 0) + (3 - -5605809). What is i rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -55b?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 36*c + 349*c + 2410*c**2 + 15*c**3 - 2005*c**2 - 3*c**4.\nAnswer: -5*c*(c - 11)*(c + 1)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19273822.\nAnswer: 2, 1103, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrrddd. What is prob of sequence rdd?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1781 = 8*b - 10819. Calculate the common denominator of -38\/7 and ((-21)\/b)\/((-2)\/695) + -3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x**4 - 7*x**3 - 45*x**2 + 23*x + 7. Let r(m) = 20*m**4 - 5*m**3 - 30*m**2 + 15*m + 5. Let g(q) = -7*r(q) + 5*u(q). Let g(i) = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*u**2\/3 + 756466*u + 6484\/3 = 0.\nAnswer: -1\/350, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*b**3 - 1262*b**3 + 11822 - 11822 + 2545*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 455032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 (base 9) in base 4?\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7 + (0 - (-6 + (15 - 7))))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252*42\/4536*522\/(-21)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 703?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 81*d - 53. Calculate o(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 825.65 - 853. Let u = q + -0.65. Let w = -32 - u. Sort w, 1\/6, 8 in increasing order.\nAnswer: w, 1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5 - ((-4 - -5) + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4794719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (1 + -1 + 2). Suppose 10*o - j*o - 100 = 0. Solve o = -3*z + x - 2*x, -2*x = -3*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -45 - (1 + -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdjf when four letters picked without replacement from {f: 4, t: 1, e: 1, d: 2, j: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 315328861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5 + 0 - 16 - 4*j. Let b(c) = -2*c - 10. Let n(y) = -13*b(y) + 6*q(y). Find the first derivative of n(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 919*p**2 - 4*p - 2. What are the prime factors of y(2)?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 60*q**2 + 541*q + 44. Let c be l(-9). Suppose 5*z - 20 = z. Solve 2*r - 3*i = -4*i - 15, 2*r = -z*i - c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*h - 16660 = -44*h + 2529 + 15403 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = 41*j - 43*j, 0 = -2*j - 3*m + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2. Suppose -4*j + 8 = 36. Let o(u) = -u**2 - 11*u - 30. Let y be o(j). Let v(r) = r**3 + 4*r**2 + r - 2. Let p be v(y). Determine f(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -53*t - 1. Let a be o(-2). Let w be 5*7\/(a\/6). Solve 3*m = 8*m + d - 5, -d = w*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 453, 827, 1351, 2025, 2849, 3823?\nAnswer: 4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 2*n - 3. Let g be t(-4). Suppose z - 2*u = -3*z + 18, -1 = z + g*u. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 16*g - 5*o - 55, 5*g - 4*o + 64 = 0. Let z(r) = -r**3 - 13*r**2 - 13*r - 14. Give z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 6*m**2\/5 + 8*m\/5.\nAnswer: -2*m*(m - 4)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a. Calculate s(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6875, -9603, -12331, -15059?\nAnswer: -17787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -5, -4, 264, -40 in ascending order.\nAnswer: -40, -5, -4, 47, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 844 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7223, -6989, -6601, -6059, -5363?\n\"Answer: 77*k**2 + 3*k - 7303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3767766*r. Let v(i) = 6*i. Calculate m(v(t)).\nAnswer: 22606596*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, t: 11, h: 1}. What is prob of sequence ihi?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 2, o: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.430095*0.3.\nAnswer: -0.1290285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75625286 divided by 5?\nAnswer: 75625286\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 35. Let c = g + 104. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)\/(10\/(-8))*34. Let g = 55 + f. Which is the nearest to 1? (a) 2\/11 (b) -1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = h + 17, 3*h = -b - 79. Let l = h - -28. What is the second derivative of -7*u + 9*u**3 + l*u + 3*u wrt u?\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041133 (base 6) in base 15?\nAnswer: 59863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*u = 5, 2*s = u + 14 - 5. Suppose -9 - 6 = -s*k. Solve 4 + 2 = -k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 129a + 15?\nAnswer: 12b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 268*p**3 - 1011*p**3 + 292*p**3 + (0*p + 0*p + 2*p**2)*(-3*p + p + 4*p) - p**2 + 2*p**3 + p**2.\nAnswer: -445*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247 + -244. Let u be 2\/(q - (9 - 5)) + 6. Let o(g) = 3*g + 2. Calculate o(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5819 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, a: 2, i: 3, k: 1, p: 1}. What is prob of picking 1 p, 1 k, and 1 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:56 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/6 + 4*i**2 - 3*i. What is the remainder when 11 is divided by z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/26*(-38233)\/(-26469)?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/243 and 49\/72.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2488, -2651, -2680, -2569, -2312, -1903?\n\"Answer: j**3 + 61*j**2 - 353*j - 2197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463 + -449. Calculate the common denominator of -1\/156 and ((-1020)\/80)\/(9\/r).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.02 - 0.02. Let g = z - 1.3. Suppose -2*f + 2*b = 3*f - 18, -3*b = -2*f + 16. What is the nearest to 1 in 1\/2, f, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 - 465678*g**2 - 27107232798*g - 27106767122 = 0 for g.\nAnswer: -116419, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 1. Let q(v) = -v + 6. Let t(z) = -z + 9. Let n(p) = -3*q(p) + 2*t(p). What is b(h) + 3*n(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 46*i = -7*d - 147, -6861*d + 3*i - 49 = -6856*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48 or -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 57. Let h be (-1 - s)*(-58)\/4. Let r be (h\/(-4))\/(10\/160). What is the highest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0494 and 0.8?\nAnswer: -0.03952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/120 + f**5\/5 + f**4\/2 + 13*f**3\/6 + 3*f**2. Suppose -r + 7 = -2*q, 4*r + 0*q - 43 = 3*q. Let a be c(r). Sort -1, a, 5.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82, -115, -170, -247?\n\"Answer: -11*l**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 2754?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 15*c**2 + 14*c. Determine p(-9).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 10*d**2 - 10*d - 7. Let u be o(-9). Is u*(0 + -2) - -1607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 5748?\nAnswer: 34488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*c - 37*c**3 - 1071*c.\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = -2*u, -1099 = -3*i - 3*u - 1093 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 40*h**2 - 38*h - 458. Is 86 a factor of y(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 14302340444?\nAnswer: -14302340440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -964*q**3 - 664*q**2 - q wrt q.\nAnswer: -5784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23783 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/354480 and 11\/1680?\nAnswer: 354480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 156 + 9*m - 7*m.\nAnswer: 2*m + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*f + 8, f + 7*u + 3 = 4*u. Let i(a) = -7*a**2 + 3*a**2 - 3*a + 3*a**2 + 3. What is i(f)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1347)\/7 - (-1)\/7*3. Let j = -132 - b. Solve -2*p + j = 10*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (21 - (3 - -11))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2521372 (base 8) to base 10\nAnswer: 697082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let f(c) = -27 - c + 27. Determine f(g(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62312 rounded to the nearest one hundred?\nAnswer: 62300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 667 + 15*v - v - 667 + 0*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*t**3 - 275 + 150*t**3 - 43*t**3 + 71*t**2 - 53*t**3 wrt t.\nAnswer: 3*t**2 + 142*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40623 - 5592. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(2\/7)*a)\/a)\/(a\/a**(-6\/11)))**(-12)\/(a**(-1)*a*a*a\/a**(-6)*a*(a*a**1)**(2\/15)) assuming a is positive.\nAnswer: a**(-7103\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 8*s + 9. Let z be g(7). Let v be (-3)\/3*z\/(-3). Let h = 24 - 74\/3. Sort 3\/5, v, h.\nAnswer: h, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i - 6*i**5 + 7*i + (0*i + 0*i + 2*i**3)*(-i**2 - 2 + 2).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = y + 5*f, 4*y + 7*f - 28 = 4*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*l - 342, -3*b - 6*l = -5*l - 526. Calculate the remainder when b is divided by 71.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 52964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6529*v**2 - 6527*v**2 + 0.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110101 + 1000100111100111?\nAnswer: 1000011100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from xxyexydyyexyxyey.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1146952.89674 + 1147072.9. Let c = -120 + p. Round c to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {a: 4, k: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15535, -31069, -46603?\nAnswer: -62137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 269, 268, 267, 266?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*j + 77*a**2 - 27824652*a*j + 84772*a wrt j?\nAnswer: a**2 - 27824652*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -3073*z**6\/30 - z**4\/6 - 4263*z**2 - 6755*z. What is the first derivative of f(x) wrt x?\nAnswer: -12292*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5*-0.042.\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let c = 0 + 0. Suppose c = -2*z + 4. Let p(b) = 5*b**2 - 3*b**2 + 0*b**z + 2*b**2. Give q(p(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3933, 3961, 4015, 4101, 4225?\nAnswer: 4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034076 to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -141 and -175488\/1253 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - o - 5. Suppose -s = 2*w - 54, -155 + 139 = -4*w. What is the remainder when j(6) is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 61\/549 - 1466\/(-9) - 9. Solve -49*k - 7 + c = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 245*x**6\/6 - 469*x**5 + 4955*x**4\/4 + 3845*x**3\/3 - 1600*x**2 + 500*x - 53. Determine y, given that l(y) = 0.\nAnswer: -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 8) + 4 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2\/35, 2, -2\/9, -0.4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1959*x**4 - 2*x**3.\nAnswer: x**3*(1959*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.106 + 7.794. What is y rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66550 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.582667042 - -0.5825. Round k to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2)\/(2\/2). Let c(f) be the first derivative of -2*f**2 - 4*f + 1. List the prime factors of c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1377 and 17306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -36. Which is the closest to 2\/3? (a) 3\/4 (b) x (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 13 (c) 131854 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5117*k**3 + 8*k**2 + 4*k + 9588. Let c(a) = 2*a**3 + 2*a**2 + a + 1. Let u(x) = 4*c(x) - o(x). What is the first derivative of u(j) wrt j?\nAnswer: 15375*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(12)\/sqrt(4))**2 - (sqrt(48)\/sqrt(4))**2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 3*q**2 + 2*q**2 - 13*q - 7*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from uuuuuxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 53376.92642 to the nearest 100.\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53105047, -106210096, -159315145, -212420194?\n\"Answer: -53105049*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 4*l**2 + 3*l + 6. Let b(m) = m**3 + 3*m**2 - m - 3. Let k(x) = 5*b(x) + 3*g(x). Calculate k(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*o**2 + 1577 - 3159 + 1578 to the form t*o + k + z*o**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 463b7 (base 14) to base 15\nAnswer: 3596c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 849 + -524. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2662357, -5324670, -7986983, -10649296, -13311609?\nAnswer: -15973922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -87.06?\nAnswer: 86.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {f: 1, k: 9, r: 5, z: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1100 divided by 1.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (884\/(-91))\/(8\/(-140) + (-52)\/65).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 less than -436944.955?\nAnswer: -437027.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1816 * -0.1.\nAnswer: 0.01816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42722 - 42722 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10422.8 - -10423. Let j = 3 - 3.1. Which is the biggest value? (a) 4 (b) 4\/7 (c) s (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12682244 and -8585711?\nAnswer: 4096533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.5. Let q be (-2 - -1) + (10 - 3) + -9. What is the nearest to -1 in j, 2, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) 2\/3 (c) -0.3 (d) -0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6059.\nAnswer: 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -29 - 7. Suppose 0 = -5*o + 4*o + c. Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 4*l, -5*f - 7*l + 8 = -3*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -332, -654, -1130, -1784, -2640, -3722, -5054?\nAnswer: -6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*b - 2*v, -8*b = -3*b + 17*v - 529 + 584 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/52 + 27\/36.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*s - 2128 = 378*s. Let f = 291 - 441. Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*m**2*x - i*x**5 - 13*i*x**2 - 2*i*x + 6*m**2*x**3 + 9*m**2*x + x wrt x?\nAnswer: -20*i*x**3 - 26*i + 36*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 17*i + 8*i)*(277 - 197 + 396) to the form v*i + d and give v.\nAnswer: 8568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17144*t**2 + 19796*t wrt t.\nAnswer: -34288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + -4 + (-52)\/(-8). Suppose 3 = 5*o + 2*v - 12, 3*v = f*o - 6. Suppose o*p = c + 599, -2*p + 2*c - c = -398. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/602700 and -37\/21525.\nAnswer: 602700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 3, c: 1, m: 1, t: 1, z: 2}. What is prob of picking 1 m and 2 v?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694*w = -4768*w - 761*w - 33434 - 17127 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 14, 27?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ophwbbw. Give prob of picking 1 p and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -122*o**2 - 41610*o - 2728 = 0.\nAnswer: -341, -4\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47411 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 6*r**2 - 2*r - 3. Let q(l) = l**2 + 28*l - 21. Let k be q(-22). Let x = k - -147. Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -40cdb?\nAnswer: 40cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 11*d + (4 - 8 - 4)*(-2*d - 5*d + 6*d).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*k + 428, -11*k - 86 = -12*k + 4*o. Calculate the remainder when k is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8391000 divided by -2797?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4 - 4*a**3 - 2 - 2*a**4 - 2*a**3 - 7*a**4. Let n(d) = -d**3. Let k(u) = -6*n(u) + o(u). Find the first derivative of k(v) wrt v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 4*m - 12. Let z = 63 - 69. Does 4 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by 1?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -303\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -716. Suppose -r = b - 3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733036 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/143282544 and 77\/756774.\nAnswer: 429847632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21))\/(20\/(-60))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r + r)*(-161805 + 80895 + 80896 - 767*r).\nAnswer: -767*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302130 + -20?\nAnswer: 3302110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2486*-1.3\nAnswer: -0.32318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*c - 415*c = 16. Let w be (104\/(-56) + c\/(-14))\/(-2). Let g(h) = -h + 6. Let o be g(6). Solve -3*y + w + 8 = o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 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 b(l) = 6*l + 24. Calculate b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303768 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 3*c + 63. Calculate t(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2208, 2206, 2202, 2196, 2188, 2178?\n\"Answer: -r**2 + r + 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let f be (-5*1)\/(d\/(-4)). Let m be 279\/4 - (-1)\/4. Calculate the highest common factor of f and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 39*t**4\/4 - 25*t**3 + 74. What is the third derivative of c(j) wrt j?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 422010?\nAnswer: 422014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 189, 441, 799?\n\"Answer: 53*m**2 - 13*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -169c7c (base 14) in base 3?\nAnswer: -1111102012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 4*k - 1111 + 1106.\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187282507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29c - 13a?\nAnswer: -3d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 9*p**4 + 170772*p**3 - 1423707*p**2 + 341742*p + 911184 = 0.\nAnswer: -18983, -2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 313*u + 37944 = 215*u for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u - 1. Let f(i) = -3*i**2 + 5*i - 2. Let m(v) = f(v) - h(v). Let y be (2 - 3)\/((-2)\/(-6)). Determine m(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 4*o - 3*o + 4 - 4 - 2*o + (-2*o - 2*o + 3*o)*(2 + 3 - 3) + (8*o - 5*o + 5*o)*(1 - 2 - 7)*(-5 + 2 + 1).\nAnswer: 123*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -81.608.\nAnswer: -81.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from {f: 7, l: 3, m: 1, q: 2, p: 3, v: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-10) + (-1)\/(-2). Suppose 0 = 2*t - r*t + 255. Suppose 0 = -4*w + 4*n + 76, w = -4*w + 3*n + t. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let f(k) = -k - 589. Determine b(f(u)).\nAnswer: -u - 589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1192808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34717552 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638\/(-44)*13760\/(-6960).\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/30 + f**4\/24 - f**3\/6 - 2*f**2. Let m be i(-3). Suppose m*y**3 - 8*y - 8\/3 + 26\/3*y**2 = 0. What is y?\nAnswer: -1, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1051111410.6365 - -54\nAnswer: -1051111356.6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzz when three letters picked without replacement from {f: 9, o: 1, k: 1, z: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001663 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from wxzwj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k - 22*k + 9*k. Let n(m) = -3*m**2. Give f(n(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20179 take away -302?\nAnswer: -19877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23504 + 23506. What is the fourth smallest value in l, -2\/7, 0.0472, -2\/37?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwvvwvwvv. What is prob of picking 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v**3 + (-2*v**2 - v**2 + 6*v**2)*(3 - v - 3))*(-5 + 4 + 0).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -596*u + 2430. Determine l(6).\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5, a: 1, n: 2, s: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-32.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0402975 to two decimal places.\nAnswer: 4.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9891421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 43*s**2 + 42*s + 84. Let r be v(44). What is the remainder when 45 is divided by (2 - -4)\/(7\/(-2) - r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*y - 18*y**2 + 1 + 5*y + 2*y**3 + 13*y**2 to r*y**3 + w + b*y**2 + k*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -679695?\nAnswer: -679701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**3 + 420*j**2 + 4165*j + 10950 = 0.\nAnswer: -73, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z + 223 = 563 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042693?\nAnswer: 4042693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 11*o - 10*f + 65 = 4*o, 2*o - 3*f = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 2*x**5 + x**5 + (25*x**4 - 59*x**2 + 59*x**2)*(1 - 1 + x) - 3*x**5 + 0*x**5 + 0*x**5.\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 2*f + 7. Calculate a(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-2)\/(-8)*-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 25*n - 3. Let r be z(11). Let d = 45 - r. Solve -o = -3*y - 2*y + d, -3*y + o + 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23237236 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3443925*y**2 + 4*y - 264140012 wrt y?\nAnswer: 6887850*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1702665*b**2 - 2*b - 2. Let t be r(-2). Let v = t - -4010658. What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -50 + 16 + t + 15 + 21. Let j = -1 + 2. Let a be w(j). Solve 2 = a*s - 4*h + 22, -3*s + 5 = h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 29. Suppose 4*y + 97 + 323 = 0. Let t = a - y. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 151*b - 40. Give h(1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -12020?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*j + 232*j + 8848 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 divided by -324?\nAnswer: -79\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k - 61. Determine v(-18).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 2, -0.5, -1\/3, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than or equal to -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxbkzxxhbxck. Give prob of sequence kb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let h be ((-3)\/6)\/(1\/(-12)). Calculate the remainder when 34 is divided by y\/(17\/h - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21897 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*d + 8 = 3, -4*d = -5*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019435629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -221313 divided by 73771\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 114 = -3*b - 0*b, 0 = -b - 4*v + 29. Let i = -33 + b. Let -79*r + 59*r**2 - 9*r + 183*r**2 + i = 0. What is r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903422 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16718906 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {s: 2, l: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -7 + -1)*5. What is the units digit of (0 - 369)\/(1\/r*-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27128 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95.6 + -95.9. Which is the nearest to -41? (a) 3 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 32\/1391 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/53 (b) 49\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116949\/20 - -5849. Let l(w) = 5*w**2 + 3*w + 8. Let b be l(5). Let n = -2061\/14 + b. What is the common denominator of a and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 21)*(-4 - 15 + 7 + 2*b).\nAnswer: -44*b + 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*g + 4*g - 620, -2*c = -2*g - 410. What are the prime factors of c?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 0*a**2 + a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 - 9 - 998*r + 1009*r with respect to r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/4 + 1\/12. What is the closest to 2 in -1, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21983 - -32433. Is 38 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (87\/(-30) - -13) + -10. What is the closest to 1\/3 in 4, 6, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let z(k) be the second derivative of -8*k**3\/3 - k**2\/2 - k + 15. Give -6*a(p) - z(p).\nAnswer: 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 35*f**2 - 59*f + 96. Let o be n(1). Suppose m - 88 = -0*m. What is the greatest common factor of m and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-17))\/n**(-7\/2) assuming n is positive.\nAnswer: n**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 2 (b) 0.5 (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.947 - -3976.653. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*-2*(-1)\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:11 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64020 and 40.\nAnswer: 128040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28951869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s + 4. What is y(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {k: 1, s: 1, d: 1, n: 5, p: 2, e: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:22 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3347*k - 11175 + 41107 = -1472*k + 2401*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 9*u + 17*u - 8*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 7. Let c(t) = 1 - i + 19*t - 27*t. Let x(f) = 180*f + 0 + 0 - 185*f. Calculate x(c(n)).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7672686 and 18924?\nAnswer: 291562068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 1595, 2349, 3105, 3863, 4623?\nAnswer: 5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 61*o - 240. Solve -k = -o*u - 0 - 7, 2*k - u = 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7) - 454\/17479.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 123*z + 123*z. Let f(x) be the first derivative of x**4\/12 - x**2\/2 - 2. Let s(i) be the second derivative of f(i). Determine s(q(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 2}. Give prob of sequence iq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 12*o**2 + 11*o + 1. Let s be 3*((4 - 1) + 16\/24). What is z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-56)\/105). Suppose 0 = -6*w + 3*w - 9. Let b be (-1 - -1)*(w + 2). Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1\/5 (c) -3.3 (d) 0.2 (e) 7\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-1*6)\/(-2*sqrt(108)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 + 8*i + 1. Suppose -3*w - 2*w = -c + 17, 4*c - 2*w - 32 = 0. What is v(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -4*r + 110. Which is the biggest value? (a) 0.1 (b) -24 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691421697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 9. Let n be r(7). Let p be n*2*1\/30. What is the third smallest value in p, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3266\/(-5) - 2\/(-20)*2. Let i = -358 - r. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 3, 1\/3, 4.\nAnswer: 1\/3, 3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f - 2*f + 3*f + 0*f - 3*f + f + (-2*f + 6*f - 2*f)*(4 + 0 - 2) - 5*f + 2*f + f + f + f - 3*f + 2 - 3*f - 2.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 1. Suppose 11*k - 84*k + 29 = -44. Let r(u) = -1. Calculate k*r(g) - h(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + y = 79, -4*y + 235 = -3*r. Let q = r - -117. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b6c95 (base 13) in base 8?\nAnswer: -5403066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.736 - -0.136. Let y = -0.4 + c. Let p = -25.7 - y. What is p rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25748 is divided by 8450?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 164921815 times -0.1?\nAnswer: -16492181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639729 is divided by 79954?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 1.4. Let q = -1.97 + 2.27. Let t = q + h. Which is the closest to t? (a) -5 (b) 6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324*h**2 - 89*h + 10*h**4 + 89*h + 147*h**4 wrt h?\nAnswer: 3768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 187*k**2 + 96*k + 116. Calculate j(-94).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11553*r**2 + 4*r - 10741. Let z(p) = 23107*p**2 + 9*p - 21405. Let n(q) = -9*u(q) + 4*z(q). Find the first derivative of n(x) wrt x.\nAnswer: -23098*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 360 = 3*f. Suppose 0 = -3*w - 3*i + f, 5*w - 48 - 66 = -2*i. Suppose -7*r + 50 = -34. Calculate the lowest common multiple of r and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**5\/60 - 7*t**4\/24 - t**3\/6 + 11*t**2. Let a be r(-7). Which is greater: a or 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuau when four letters picked without replacement from auuauuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + b)*(-2*b**2 + 4*b - 4*b) - b - 2*b**3 + b + 3*b**3 - 5*b**3 - 6*b**2 + 4*b**3.\nAnswer: 4*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.029, 0, -0.8, 11, 2\/365 in decreasing order.\nAnswer: 11, 0.029, 2\/365, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79382874 divided by -4178046.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*g - 3*l, 4*g - 5525 = -2*l - 5519 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*6*12\/(-3). Suppose -f + 10 = 2*c - 0*c, 0 = 5*c + 3*f - g. List the prime factors of 4\/6 + 8\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 63. Suppose r - 5 - 6 = z. Calculate the least common multiple of r and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.2222778327 and -170.\nAnswer: -179.2222778327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -12\/5*z**2 + 3\/4*z**4 - 12\/5*z + 7\/5*z**3 + 5. Factor c(r).\nAnswer: 3*(r - 1)*(r + 2)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/8 - 1401*m**2. Let s(t) = 75*t**2 + 4*t. What is g(s(q))?\nAnswer: -225*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f + 124*f + 112 = 228*f - 0*y + 2*y, 2*f - 56 = 4*y for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 - 2*w - 6. Let k be c(-5). Solve -3 = -y + k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 2*q + 70, 5*q + 244 = 3*j. Let m = q + 50. Solve 2*w + m*w + a = -5, a = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100 - -11?\nAnswer: 111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 3, g: 1, f: 2}. What is prob of sequence fjgf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 102837863777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c7 (base 13) to base 6.\nAnswer: -2153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-1264 + 1264 - 10*a).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 170 = -2*d - 5*n, -4*d + 614 = 2*n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6311754 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**4 + 5 - 5 + (3 - 3 + 5*n**4)*(7 - 2 + 25))*(2 - 1 - 3) as l*n**4 + a*n**2 + s*n**3 + z*n + f and give l.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vppv when four letters picked without replacement from vvpp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 2060*x - 10341. Determine q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsxdbqqbbqdxgxxbbb. Give prob of picking 1 s and 2 b.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 38*m - 4. Let l(c) be the second derivative of 25*c**3\/2 - 7*c**2\/2 - 1451*c. Calculate 4*l(n) - 7*v(n).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 22 = q, 0 = 4*q - q - i - 14. Calculate the greatest common divisor of q and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -95*b + 46. Is j(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 7*h**2 + 9*h + 37. What is the hundreds digit of w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 7. Calculate the remainder when 5\/(6\/(-2)*1\/(-6)) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35701709.\nAnswer: 35701709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -41800000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + -2 + sqrt(208)*-1 + sqrt(208) + 1*((sqrt(13) - (sqrt(104)*-2)\/sqrt(8)) + 0)**2)*-3.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 s, and 1 t when four letters picked without replacement from {l: 1, j: 2, t: 7, r: 1, q: 5, s: 4}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*c**3*z - b**2*c + 2*b - 376*c**5*z**3 - 76*c*z**3 wrt c?\nAnswer: -6*b**2*c*z - 7520*c**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670032 is divided by 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57a6 + 0?\nAnswer: -57a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11033230 (base 4) to base 2.\nAnswer: 101001111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - m**4 - 7 + m**2 + 0*m + 3*m + 15 + 0*m**3 - 5*m as k*m**4 + s*m**2 + r + j*m + w*m**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 0*n + 2*n)*(1348*n - 3721*n - 115*n - 675*n - 3950*n) as c*n**2 + j + u*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8266*p**2 - p - 1. Let f(r) = -6*r. Give f(a(z)).\nAnswer: 49596*z**2 + 6*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**2 - 30*o + 17. Let i(u) = -5*u**2 + 10*u - 6. Let q(j) = -4*a(j) - 11*i(j). Let d be q(8). Solve 0 = 2*g + 2*c - d, 2*g - 3 = 4*c - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33596643*c**2*s**2 - 3*c**2 - 2*c*s**2 - 264338*c*s + 44*s**2 wrt c.\nAnswer: -67193286*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**8\/168 + 7*y**6\/60 - 29*y**4\/24 - y**3\/2 + 28*y**2 + 2. What is the second derivative of j(u) wrt u?\nAnswer: -40*u**3 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (52 + -27 + -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-3 - 17) + -14 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 2*y - 40. What is k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 smaller than 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 258 (c) 1\/7 (d) 0.3 (e) 21 (f) -6 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6\/4157, 0.2 in decreasing order.\nAnswer: 2, 0.2, -6\/4157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5\/3 (b) -3 (c) 15\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -320. Calculate the remainder when b is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1590 and 86\/405.\nAnswer: 42930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11752 and 0.5.\nAnswer: 5876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17214236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a + 86. What is y(33)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 2. Let o(n) = 7*n + 4. Suppose 0 = 2*c - 4 - 22. Give c*i(t) + 6*o(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -519 or -520?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1655315516 to the nearest integer?\nAnswer: 40686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = -b + 28, -4*d - 2*b = -28. Suppose 0*q - d*q = -20. Calculate the highest common divisor of 28 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 435070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 14)\/((2 + -4)*-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - c + 1. Let u = 23 + 645. Suppose -12*v + 8*v = -u. Calculate the remainder when v is divided by y(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37449, 36, -23 in increasing order.\nAnswer: -37449, -23, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -149. Solve 23 = -w*t - x, 0 = t + 4*x - 5 + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 1033 + 5989 + 4480 = 106*w for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 143 = -6*w + o + 158, -2*o + 6 = -0*w - 0*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*h + 968 + 801, -4*m = 2*h + 1424. Let z = 762 + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1731*l - 412*l + 48*l as k + u*l and give u.\nAnswer: 1367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:50 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 - h + 1. Let a be w(-3). Suppose -5*f + 13 = 4*z, -61 + 33 = -5*f + z. Put a, f, -23 in descending order.\nAnswer: f, a, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -2.6. Let g = -19622\/5 + 19616\/5. Which is bigger: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 15*g**2 + 18*g - 36. Let z be x(16). Let k = 22 + -34. Let j be (z\/k)\/((-2)\/(-150)). Solve -p + j = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345\/(-105) - (-10)\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -379 - -3793\/10. Let t be 5510\/580 - 43\/4. What is the second smallest value in k, t, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1053 + 295 - 1174 + (0 - 2 + 0)*(2 - 1 + 1))*(-3*t**2 + t**2 + 0*t**2) to f + j*t**2 + d*t and give j.\nAnswer: 3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y**(9\/8))**(-42) assuming y is positive.\nAnswer: y**(987\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-35) + (-4)\/14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1235 by -2.\nAnswer: 1235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.96533 and 191.94806.\nAnswer: 192.91339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.1. Let q = 0.02 + 0.08. Let j = 716.6 + -717. What is the nearest to q in 2, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/360 - k**3\/3 + 4. Let u(v) be the third derivative of n(v). Let z(a) = 0*a**2 - 3*a**2 + 0*a**2. Determine u(z(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 4. Let l be g(-1). Suppose j + 3*t = -l*j + 29, 2*j = 5*t - 5. Let w(y) = y**3 - 5*y**2 + y - 1. Let m be w(j). Solve f = m*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342675063*t**2*w**3*z**2 - 6*t*w**3 + 2*t*w**2*z**2 + 11*t*z**2 - 2*w**3 - 624*w + 25*z**2 wrt t?\nAnswer: -685350126*w**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 333624?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-135)\/90)\/(6\/(-16)). Suppose 5*s + 2 - 5 = -2*p, -5*s = -q*p + 81. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -3310, 15\/8 in decreasing order.\nAnswer: 15\/8, 0.18, -3310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5755748, 11511495, 17267240, 23022983?\n\"Answer: -p**2 + 5755750*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 315?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7140755?\nAnswer: 5, 1428151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-54)*15)\/((-27)\/(-21870)*45)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 37*w**3 + 37*w**3 - w**4)*(-5*w - w + 4*w + (-2*w + 1 - 1)*(4 - 2 + 0) + 2*w - 4*w + 4*w - 5*w + 3*w - w + 59*w + 21*w - 37*w).\nAnswer: 36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52249 or -52248?\nAnswer: -52248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/33641 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-3)*4\/(-42). What is the third biggest value in u, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1647675 rounded to zero dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -30 - (0 + 2 + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*h + 391*h + 168 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -475, -445, -393, -313?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 759697*i + 7 - 607160*i.\nAnswer: -1366857*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 11) to base 7.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -2*v. Let c = 6 + v. Solve 4*x + c*l = 1 + 3, -5 = -5*x + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 102\/(-26)*(-9880)\/(-760).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6766 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12049958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*g**2 + 84*g**2 + g + 9*g**2 + 3 - 3*g**3 to the form a*g**2 + p + d*g**3 + z*g and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 73124388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*x + 2862, -h - 6069 = -5*x + 1130. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1035355*x + 8325129 wrt x.\nAnswer: 1035355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/336*4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30441 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = -79 - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 2*h**7\/105 + 4*h**6\/5 - 36*h**5\/5 + 56*h**4\/3 + h**2 + 2545. Factor w(j).\nAnswer: 4*j*(j - 2)**2*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*r = -4, -20*r + 24*r - 12 = -6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-23) - (-338124)\/(-68218).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49516 or 0.1?\nAnswer: 49516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/11273 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h\/((h\/(h*h*h**(-4)*h*h))\/h))\/h)\/(h*(h*h*h**(-5)*h)\/h*h)*h**(3\/2)*h\/h**6*h**(5\/3)*h**(-6)*h*h**(-4\/7)\/(h\/(h**4\/h)) assuming h is positive.\nAnswer: h**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**4 + p**3 + p. Let m(i) = i**5 + 5*i**4 - 18*i**3 - 6*i. Let w(l) = m(l) + 6*u(l). Factor w(o).\nAnswer: o**3*(o - 4)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 0 + -4 + sqrt(1377))*-5 - (-3 + 1 + sqrt(17) + (sqrt(17) - (sqrt(272) + -1))).\nAnswer: -88*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 1. Let t be b(2). Let y be (-38)\/(-3)*t\/(-2). Suppose y = 4*q - 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 8, e: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from wvgzwnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 158\/5 (b) 3\/4 (c) 61181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**0\/k)*k)\/k)\/k**(-2\/29)*(k**2)**(-2\/25))**(-18) assuming k is positive.\nAnswer: k**(-37962\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 30. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 916.859217 - 0.26.\nAnswer: 916.599217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazzzazz. What is prob of sequence az?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 21 = -3*j. Let l = -49 - -6. Let p = l - -65. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 217*n - 17*n - 91*n**2 + 56 + 245*n**2 + 10*n**3 = 0. Calculate n.\nAnswer: -14, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167\/4 + 42. Let v = 0.02 - 4.02. Let q = -4.843 + -0.157. What is the nearest to a in -0.3, q, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 1584?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100720, 100719, 100718, 100717, 100716, 100715?\n\"Answer: -r + 100721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/120 - 13*h**5\/60 - 5*h**4\/8 - 35*h**3\/6 + 4*h**2. Let n be x(-12). Calculate the greatest common divisor of n and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138933656417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + 126153\/(-856) + (-65)\/(-216) + (-2 - -2)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 + 7409*n**3\/4 + 141033*n**2\/4 + 735291*n\/4 + 150417 = 0. Calculate n.\nAnswer: -9, -1, 7428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzh when four letters picked without replacement from hzzhhhhhzzhz.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + 0*g**4 - 2*g**4)*(-455 - 471 + 336 - 58 - 690).\nAnswer: -1338*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5999368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(180) + sqrt(180) + sqrt(180) + -5 + -4 + sqrt(180)*-1))**2.\nAnswer: -264*sqrt(5) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 1\/3*z**3 - 7\/2*z**2 + 3. Calculate a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -156?\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/331 - 1996\/1655. Let f = 48 - 50. Are n and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*((-2 + 2 + 1)*(-4*j + 4*j - 9*j) + 3*j - 2*j - 2*j) + 3*j - 3*j - 3*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, g: 5, r: 1, n: 3, h: 1}. Give prob of sequence eh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 1. Let i = -3 - -9. Suppose 0 = -i*v + 12*v + 18. Let x(z) = 5*z - 3. Calculate v*x(l) - 8*u(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -880.5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*g**2 + 73*g**2 - 17*g + 16*g.\nAnswer: -115*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10310 (base 7) to base 10\nAnswer: -2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllljllllllll. Give prob of sequence jl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5955445 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) 2\/33 (c) 1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllluuttutlkkbu. Give prob of sequence ubuu.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248424 and 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -410*a + 371*a - a**2 + 0 - 1 + 67. Determine s(-40).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**2 + 11*y - 13. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*60\/(-1280))\/(((-2)\/40)\/(4\/(-270)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3393 + 343. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 - 2*l - 1. Let f be 10\/(-45) + 76\/18. Is d(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + 136 + -164 + 81.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -32 - 12 - 30*v + 9 + 95*v. Suppose 4*x + 20 = 2*x. Let s(a) = -2*a + 1. Let d(r) = x*s(r) - p(r). What is the derivative of d(q) wrt q?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1115*l - 6 - 1226*l + 15 - 12. Is m(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201002121032 (base 4) in base 13?\nAnswer: 1a42cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170940 and 666?\nAnswer: 512820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 + 4*a**2 + 11*a + 8. Let o(s) = 9*s**3 + 8*s**2 + 23*s + 17. Let g(r) = 6*o(r) - 13*t(r). Does 11 divide g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1947181 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 0.21. Let k(y) = -y**2 - 13*y + 18. Let m be k(-13). Let d = m - 14. Which is the nearest to o? (a) -1\/3 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 853892705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -82*o**4 + 360 + 14\/5*o**5 + 3218\/5*o**2 + 2818\/5*o**3 - 1488*o = 0.\nAnswer: -2, 2\/7, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185510 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18210, -18213, -18216, -18219, -18222?\n\"Answer: -3*j - 18207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2 + 2)*(-6 + 40 - 13).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16631 = -10*g - 12911. Solve g - 96 = -69*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (61 - 22) + -15 + 97?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.56 rounded to the nearest integer?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3082 and -17\/23198.\nAnswer: 35748118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a714 (base 12) to base 3.\nAnswer: 1222112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 442 = -12*i. Let c(d) be the third derivative of d**5\/15 - d**4\/2 + d**3 + 7*d**2. Let v be c(6). What is the highest common divisor of v and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.91+18052291\nAnswer: 18052297.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11\/13, -2\/15, -2\/9, 0.1.\nAnswer: -1, -2\/9, -2\/15, 0.1, 11\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7825254 rounded to 4 dps?\nAnswer: 0.7825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**5\/n)**26)**(-2\/29))**(-7\/13) assuming n is positive.\nAnswer: n**(140\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 12*z = 4*h - 24, -5*z + 15 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 11*q**2 + 74*q + 39. Let d(j) = -4*j**3 - 8*j**2 - 54*j - 29. Calculate 8*c(b) + 11*d(b).\nAnswer: -4*b**3 - 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227203187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*g = -0*z + 59, -4*g = -2*z + 56. Suppose -5*h = 0, 6 - z = -4*r - 5*h. Solve -5*p - r = 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i**(-7))\/(i**(-1))**32 assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*u + 15, -u + 4*s - 57 = -44. Put -4, u, 0.3 in increasing order.\nAnswer: -4, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58344 and 2247.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -25, -33, -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*u + 778*u - 273*u + 89*u.\nAnswer: 949*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14*a - 22 = -2*a. Let p(o) be the second derivative of 14*o - 9\/2*o**3 + 0*o**a + 0 + 13\/6*o**4. What is the second derivative of p(i) wrt i?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23257\/6620 - 54\/331. Let w = j - 18\/5. Let h = -31\/51 - 1\/17. What is the nearest to h in -0.3, -5, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*o - 64, -4*r + 8 = -3*r + 5*o. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {p: 2, g: 2, d: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in -5, -1\/5, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-1*sqrt(32)))\/(((sqrt(264) + sqrt(264)*-3 + sqrt(264))\/sqrt(11))\/sqrt(8))*2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + -8 + -61 + 29\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 76*g**2. Let u(v) = 3*v + 8. Let f(x) = -2*x - 5. Let a(z) = 8*f(z) + 5*u(z). Give j(a(d)).\nAnswer: 76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 230 (c) 2\/5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -70889827479?\nAnswer: 70889827478.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*c + 153402 = -512*c. Is c < 4144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*-1*sqrt(832) + 2 + sqrt(832)*1)**2 - (-5 + (sqrt(832) + 0)**2 - (sqrt(832) - (sqrt(832)*1)**2*-3))).\nAnswer: -22473 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 6*m**2 + 6*m**2 - 5*m**2. Let h(u) = 2*u**2. Calculate t(h(s)).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 860788?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37353 and 5?\nAnswer: 186765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*6604\/39. Let v = w - -253\/3. Let k = 0.05 - 0.45. Which is the nearest to 1\/3? (a) k (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/9*(-3)\/(-2). Let p(x) = -x - 1. Let l be p(-3). Suppose 3*f - 3 = 3*d, -l*d + 0*d + 5 = 5*f. What is the closest to d in t, 4\/3, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 + 28*p + 24. Calculate z(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 41. Let n be c(-5). Solve -6 = -2*u + n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + t + 2)*(2 - 2 + 2*t) + 5*t**2 + 0*t**2 - 3*t**2)*(6*t - 4*t - 3*t) as a*t + v*t**2 + b*t**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -11. Let k = s + 8. Solve 2*w + 6*c + 5 = 3*c, -k*w - c = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 26*t**2 + 515*t + 228. Give l(-39).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:20 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*j + b, -5*j + 40*b - 43*b + 130 = 0. Find the third derivative of 4*x**5 + 15*x**2 + 70*x**2 - j*x**4 + 93*x**2 - 26*x**2 wrt x.\nAnswer: 240*x**2 - 696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650157\/5 - 2\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 5*f - 36 = 0. Solve 2*m - b = -8, 2*b - 13 = 5*m + f*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007825 is divided by 1207.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:12 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/4)\/(33\/1650).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/244 and 19\/305.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/60 and 1\/6232?\nAnswer: 93480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*w - 1270, n - 1007 = -4*w - 0*n. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 133, 5, 1.31, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 808, 1564, 2824, 4582, 6832, 9568, 12784?\n\"Answer: -m**3 + 258*m**2 - 11*m + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (89 + -80)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, x: 3, w: 13}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4)*(5 + 0 + 3)*(39*l + 34*l - 97*l) as x*l + o and give x.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29990681?\nAnswer: 7, 4284383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10471\/6 + 1741. Which is smaller: q or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0961 or -2583\/2?\nAnswer: 0.0961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2880*p**3 + 24*p - 3?\nAnswer: -17280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, c: 9}. Give prob of sequence tcc.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, -4, -34 in descending order.\nAnswer: 4, -2, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 91 - 52 - 20 - 3 - 17 - 12 + 12*s. Let l be -1 - (8\/(-1) - -1). Determine c(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117\/145 + 6\/29. Let r = -9 - -9.09. Let o = 0.91 + r. Is o at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/51 (b) 3\/4 (c) 137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:08 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 10 + 35 = 0. Let z(a) = -a**2 + 4*a + 5. Suppose 2*b - 3*n = 12, 3*b + n + 24 = 7*b. Let y be z(b). Put f, y, -1 in decreasing order.\nAnswer: f, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/7 - 366612*v\/7 - 16800544818\/7 = 0. Calculate v.\nAnswer: -91653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -1707, -3775, -6647, -10317, -14779?\nAnswer: -20027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 10116*f - 10112.\nAnswer: -4*(f - 2528)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**6\/120 + y**5\/15 - y**4\/4 - y**3 + y**2 + 3. Let c(n) be the second derivative of o(n). What is c(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*m + 2*m, 5*m = -12*x + 75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 + 412. Suppose -3*a = -2*a. Suppose 4*f - 7*f - i = a, 4*f = -i. Solve 2*q + z + f = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 281\/7 + -40. Let y = -28.8 - -29. Sort 0.1, y, h.\nAnswer: 0.1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -270*o**2. Let d(j) = -38*j - 12. Let s(m) = 3*m + 1. Let f(x) = d(x) + 12*s(x). Give f(i(q)).\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 5:26 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (-3 - 7)) - -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 5343?\nAnswer: 5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 928 to the nearest 10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 273534427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 2211 = -11*g. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 - -93 - -23 - (20 - (-1 - 1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4085 * -12.5.\nAnswer: 51062.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.2. Let f be (2\/4 - 0)\/(17 + -16). What is the nearest to 1 in -0.4, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17520\/42 + (-18)\/(-21)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80972 and 8276426.\nAnswer: 8357398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (31 - 14) + (0 - 1)*-13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1011 and 45462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 1248 - 534. Let y = u + -389. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*z = z + 282, 2*z - 208 = 4*f. Let d be (4\/6)\/((-66)\/f - 1). Suppose d*v = 2*v + 26. What is v rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -12 - (-49 + 5 - (9 - 20)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 530.31628 (c) 3 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185280 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -24. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 13, 19, 27?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177022 + -215942.\nAnswer: -392964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23406077.\nAnswer: 761, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17548214503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*d = 2*t - 25, -10 = -2*d. Suppose 3*l + t*l = 12. Suppose 2*a - 3 = 3*i - 29, -l*i - a = -42. What is the lowest common multiple of 7 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578744333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 19300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r + 1. Calculate the remainder when w(4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 3\/4, -0.1, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**50*(w*w\/(w*w\/(w**(1\/3)\/w)))**(9\/5)*(w**(-6)\/w)\/w*w**6*((w*w**(-1\/3))\/w)**13 assuming w is positive.\nAnswer: w**(637\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2031773*k - 2033567*k.\nAnswer: -1794*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:50 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -99 - 2246*l**2 + 2248*l**2 + 99. Let h(n) = -5*n**2 + 18*n**2 + 9*n**2. Give h(t(g)).\nAnswer: 88*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20151 divided by -3213?\nAnswer: 2239\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2 - 4*u + 2. What is the hundreds digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025139 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*-3*(0 + sqrt(605)))**2*-5 + -5)*5.\nAnswer: -544545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45543 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2748 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -480, -977, -1482, -1995?\n\"Answer: -4*w**2 - 485*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:05 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = -5*g - 199 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 33*y = -30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/((-14)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 818 - 818.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 394204*q. Let w(t) = 2*t**2. Calculate w(k(r)).\nAnswer: 310793587232*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, 1\/5, 20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 1, o: 2, f: 1, v: 2}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31045 and 435?\nAnswer: 2700915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 6. Let v = g - -8. Suppose -6 = 3*b - 0*b + 3*l, 0 = 2*b + 4*l + 10. Solve -v*r - o = b, -4*o + 0*o + 12 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4155*o**4 - 3028*o**2 - 60281049*o wrt o.\nAnswer: 49860*o**2 - 6056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*h*j*w + 2*h*j + 2*h*w**3 + j*w**3 + 50*j*w with respect to h.\nAnswer: 89*j*w + 2*j + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*p - 54*p - 60*p)*(-p + p - 3*p)*(2 - 2 - 1).\nAnswer: -138*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/7 - 130*f**4\/7 - 1280*f**3\/7 - 3800*f**2\/7 - 3552*f\/7 = 0. Calculate f.\nAnswer: -4, -3, -2, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 987*q**2 + 7*q**4 - 62*q**3 - 4*q**4 + 1 - 988*q**2 to the form j*q**4 + r*q + u + t*q**3 + c*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**3*o**2 - 3*g**3*o*z**2 + 2*g**2*o*z**3 - g**2*o - 3*g**2*z**3 - 6*o**2*z**3 wrt o?\nAnswer: -10*g**3 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/360290 and -93\/411760.\nAnswer: 2882320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 310?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1011072731?\nAnswer: -1011072727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y. Let d(p) = 11*p**2 - 4. Give d(h(q)).\nAnswer: 275*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 22*c**2 - 3 + 13*c**2 - 44*c**2 + 15*c**2 - 3*c**3 - 4*c.\nAnswer: -2*c**3 + 6*c**2 - 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 + 1 = 0. Solve -2*a + y*k - 2 = -10, k - 20 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1484872 + -22.5\nAnswer: -1484894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)*p*p*p**(-15)\/p*p*(p\/(p\/p**22*p))\/p*p*p*p**22*p assuming p is positive.\nAnswer: p**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -2*u. Suppose -3*w - 5*z = -60, u*w - 3*z + 6*z = 54. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 29. Let z be r(13). Suppose 0 = -11*p + z*p - 35. Solve -3*o = 2 + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -28. Suppose k*t = 2166 + 5102. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68277688?\nAnswer: 2, 739, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3\/(2 - -1). Suppose x + 51 = -3*s + 5*x, -4*x = 12. Let a be 56\/s*(-3)\/(-4). Put a, d, 3 in decreasing order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:06 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.923*0.5.\nAnswer: -0.4615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8722\/1179 - -7\/786. Calculate the common denominator of 74\/9 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.772 - -4.879. Let t = 0.8 + -0.847. Let y = q + t. Is y less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y - 4*y**3 + 19*y + 2*y**3 - 2*y**4)*(-2*y + 3 - 3).\nAnswer: 4*y**5 + 4*y**4 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4) + (-10 - -8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486812897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 451*g**6 + g**2 - 3598*g + 2562. What is the second derivative of w(l) wrt l?\nAnswer: 54120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 15*k + 28 + 4*k - 2*k - 3*k + (-2 + 3 + 0)*(2*k - 2*k - k) - k - k - k + 4*k - 5*k + 0*k to the form j*k + a and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.4. Suppose -7 = -v + 3*q + 6, -5*v + 15 = -5*q. Which is the nearest to v? (a) -1\/4 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - h + 119 = -151, 2*h = 2*c - 120. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 - 26*v**2 + 19*v - 6. Calculate the least common multiple of l(5) and 28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1048960\/41 or 25585?\nAnswer: 25585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-266)*14\/20\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322021 + -33?\nAnswer: -1322120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:20 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 16, 32, 52, 76?\n\"Answer: 2*w**2 + 6*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -14144?\nAnswer: 14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 22 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*x + 38 - 12, 3*x = -r - 2. Let m be 5 - -1*(r - 2). Suppose o - m = -0*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 2. Let p be ((-5)\/2 + 2)*-12. Suppose 9 = p*d - 9. What is the remainder when d is divided by c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 280 = -15*w. Solve 16*a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3145, -3147, -3137, -3109, -3057, -2975, -2857?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-12) + 1)\/(65\/(-8))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499294?\nAnswer: 2, 249647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 667 + 21*u**2 - 333 - 334. Let i(s) = -3*s**2. Give q(i(r)).\nAnswer: 189*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -6, -4 in ascending order.\nAnswer: -6, -4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124914)\/20819*(-1)\/130.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4284306mg?\nAnswer: 0.0000000004284306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4\/4 + 111*i**3 + 17169*i**2\/4 - 324873*i\/2 + 1038258 = 0.\nAnswer: -52, 9, 17, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 3*t + 2. Let o(i) = -4*i**2 - 6*i + 2. Let d(a) = 3*a**2 + a. Let h(j) = -3*d(j) - o(j). Determine 3*h(p) + 4*y(p).\nAnswer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = v. Find the third derivative of -4*m**v + 0*m**2 + 2*m**4 + m**2 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 5, -3, -6338 in decreasing order.\nAnswer: 5, -3, -206, -6338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 7*t**2 + 0*t**2 - t + 2 - 4*t. What is the tens digit of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (451 - 14)\/23 - 17. Solve 5*r - 2*g = 28 - 1, -s = 2*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. Let n(a) = -m*a**2 - a + a. Let d(t) = 2*t**2. Determine d(n(z)).\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 6*c + 6. Suppose 15 = 6*s + c. Solve -2*d - 3 = q, -3*d - 5*q + 5 = s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 41. Let v be f(-18). Suppose 0 = 3*c + v*r - 916, -1232 = -6*c + 2*c + 4*r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*q**4 + (-4*q + 3*q + 2*q)*(-3*q**3 + 6*q**3 - 4*q**3) + q**3 + 210 - 210 + 2*q**4.\nAnswer: 3*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*f**3 - 145 + 292 + 4*f - 148 wrt f?\nAnswer: -438*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -35*a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let a(u) = u**3 + 4*u**2 + u - 4. Let z be a(-3). Let m be z*-19*36\/(-8). Let n = m - 52. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2751455 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-109)\/(-327))\/((-84)\/(-81) - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -93*k + 651. Let j be y(5). Calculate the highest common factor of 837 and j.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.7 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n + 16 = 0. Suppose -n*m + 2*m + 8 = 2*h, 4*h = 2*m - 14. What is the remainder when ((-134)\/(-8) - 20\/5)\/(27\/36) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 2*t - 5*t + 4*t. Let r(g) = -g. What is r(a(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/4)\/(-15)*28\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209021637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/749?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1033 + 1397. Calculate the lowest common multiple of f and 1768.\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-783)\/464 - (-2 + 0))*(-174)\/(-1450)\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315 or 3851?\nAnswer: 3851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0.09 (c) 3 (d) 472.846\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.432\nAnswer: 0.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4 + 5)*-28)\/(-2). Let y be ((-48)\/n - -3) + 304\/56. Solve 5*k + 2*f = -14, y*f = -4*k - k - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225*f**2 + 278.\nAnswer: -450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2. Let r(b) = 4*b**2 + 2*b - 2. Let j(c) = -20*c**2 - 11*c + 11. Let m(d) = -2*j(d) - 11*r(d). What is m(i(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -3 - (sqrt(210)\/sqrt(5))\/sqrt(6))**2 - (-5*(1 + sqrt(7)) - 5*sqrt(28)).\nAnswer: -9*sqrt(7) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose d - u - 7 = 0. What is the second derivative of q + 0*q**2 - 8*q**2 + d*q**2 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 13*y + 396 = -12*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66\/7 + -9. Let 3\/7*m**3 - 6\/7*m**2 + 0 + x*m = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03481 + 3.5\nAnswer: 3.46519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-124))\/(0 + (-15)\/(-36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3*o**4\/4 - o. Suppose 3*r + y - 11 = -y, y = 2*r + 2. Suppose 3*l - 1 = 5*k + r, 5*l + 7 = -2*k. What is t(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 13*z**2 - 8*z + 24. Calculate m(13).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*g**2 - 1135*g + 1135*g)*(3*g + g - 7*g)*(7*g + 5*g + g) to the form c*g**4 + w*g + q + x*g**2 + p*g**3 and give c.\nAnswer: -5850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -5, -1170 in ascending order.\nAnswer: -1170, -60, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-11)\/(-275)*(-330)\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let k(s) = -575*s. What is k(r(q))?\nAnswer: 1150*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 - 36 = -5*v, -3*v = 3*h - 114. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 7 = -4*b, -10*b - 11 = -4*w - 7*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d**3 + 8*d**2 + 6*d - 1. Let b(m) = -5*m**3 - 4*m**2 - 3*m. Let y(c) = 5*b(c) + 2*v(c). List the prime factors of y(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5734, 5730, 5724, 5716, 5706?\n\"Answer: -i**2 - i + 5736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274 + 273 + 860*s - 188*s + 1354*s - 164*s to x*s + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-107)\/535*(-30)\/(-92)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Suppose 0 = -4*t - v*t - 689432. Let f = t - -59679. Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 706*v**2 + 2939*v**2 + 2592*v**2 to the form u + d*v + s*v**2 and give s.\nAnswer: 6237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 318 + 345. Let y = 4 - 26. Let z = y + w. Solve -z*x = 5*o - 20, -2*o - 11 = -5*x - 4*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30622471.\nAnswer: 11, 19, 146519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.8174+-62\nAnswer: -58.1826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-44 + (-17 + -18 + 16 - -16))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 24*j + 136 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 + -215. Let i(w) = -24*w - 4*w**2 + 6 + 0*w**2 + 3*w**3 - 2*w**2 + 24*w. Let k(b) = -7*b**3 + 13*b**2 - 13. Give v*i(s) + 6*k(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 + 7. Let i(r) = 5*r**2 - 4. Suppose -5*b - 20 = -0*b. Let z be 1 + 1 + 3 - (-1 + 13). Determine b*x(s) + z*i(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57930*q**2 + 57921*q**2 - 115845*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.43242955308 + 1.1.\nAnswer: 29.53242955308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28245145*d**2 + 2*d - 2665881 wrt d?\nAnswer: -56490290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-12)\/3))\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 2)*(3 + 6\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3121011?\nAnswer: -3121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h. Let r(q) = -1. Let v(f) = i(f) - 5*r(f). Let m be v(0). Suppose -7*z + 9 = -m. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - u - 8 + 0*u - 7*u to j*u + v and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2824 - -2850. Solve -15*o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 10*h - 15. What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*r**2 + 93*h**3 + 70*r**2 - 15*r wrt r.\nAnswer: -4*h**3 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3044 by -761.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -64*m**3 + m. Let q be a(-1). Let x(h) = 18*h**2 - 4*h - 4. Let t be x(-1). Is t\/q - (-2194)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*2\/(-6))\/(570\/(-17100)). Put 0.054, r, 0, -2\/5 in increasing order.\nAnswer: r, -2\/5, 0, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32955.475 + 1.\nAnswer: 32956.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 4, w: 2, x: 1, v: 5}. Give prob of sequence spsp.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -19*m**3 + 9*m. Let u(d) = 94*d**3 - 46*d. Let n = -12 + -11. Let p = n - -20. Let j(v) = p*u(v) - 14*y(v). Find the second derivative of j(b) wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/7)\/w)**(-27)\/(w**(-29)\/(w*w**(-10\/9)*w)))**31 assuming w is positive.\nAnswer: w**(118637\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 + -189.5. Which is the biggest value? (a) -8 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-15)\/(-10) - -1. Which is the biggest value? (a) -1 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 221, 5, 2\/9?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4026 + 4025.99989756. Round k to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5166 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/17 and -17\/25?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehweeewhlewhhehhhh. Give prob of sequence eh.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31884 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448510 bigger than -10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/40 + 89*q**4\/96 - 31*q**3\/12 - 2*q**2 - 70*q. Determine t, given that x(t) = 0.\nAnswer: -31\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53.2? (a) 0.4 (b) -4\/3 (c) 1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8501 is divided by 321?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61540 or -61539?\nAnswer: -61540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2*(-5380)\/(-20). Let f = o + -267. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1619*p - 98751. Give k(-61).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6625*p**4 - 2*p + 355?\nAnswer: 79500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffffffkkkkfkfffff?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1963642\nAnswer: 5\/1963642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(5\/195*(-41)\/((-9348)\/494))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*b = 3*m + 6, 3*m = b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**4\/3 + 164640*v**3 + 1481836*v**2 + 11854864*v\/3 + 3293040 = 0.\nAnswer: -5, -2, 123489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/147)\/((-10)\/(-180)*-6).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2547336 weeks in hours?\nAnswer: 42.7952448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/159, -3\/4, -2, 0.4.\nAnswer: -2, -3\/4, -2\/159, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*l - 10, -5*l = -t - 1 - 0. What is the lowest common multiple of t and 374?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - y + 2*y + (-542 + 542 - 2309*y)*(-1 + 2 + 0) to the form c*y + q and give c.\nAnswer: -2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -297270000 to the nearest 1000000.\nAnswer: -297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11715.1 take away -5?\nAnswer: 11720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h**(-3))**(-2\/15) assuming h is positive.\nAnswer: h**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h + 1. Let v(n) = -5*n**3 - 12*n**2 + 2*n + 2. Let l(t) = -2*o(t) + v(t). Find the third derivative of l(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 - 1083?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + 3*p)*(0*p + 3*p - p) + (2 - 2 - 2*p**2)*(-6 + 5 + 2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 q when four letters picked without replacement from {i: 1, q: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*h + 38, 5*h - 8*h - 12 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - g + 3*g - 686 = 0, 2*k - 3*g - 440 = 0. Suppose r = 3*s - 0*r - 355, -2*s - 2*r + k = 0. 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 first derivative of 50055038*r**2*t + r**2 + 144719*t + 392 wrt r?\nAnswer: 100110076*r*t + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3913 - -4086. Calculate the remainder when t is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5076942, -5076941, -5076940, -5076939?\nAnswer: -5076938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -56.8. Let d = f + 1.52. What is d rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/198 and -73\/5940.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 22) + 16 - (-5 - -2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {a: 2, x: 2, b: 1, n: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 4*f - 21. Suppose f*l - 4*x = 241, 2*l - 4*x + 22 = 176. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 100701.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32269012.\nAnswer: 2, 8067253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/13 and -49\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 3269\nAnswer: 4\/3269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2297, 46, -2\/7, 21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45b (base 15) in base 12?\nAnswer: 6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902997739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 6*f - 20. Let h(k) = -k**2 - 3*k + 12. Let u(o) = o**2 + 4*o - 13. Let g(m) = f*h(m) + 3*u(m). What is the derivative of g(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x - 339 = 38 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4430 + -4430.4. Which is the closest to -0.2? (a) -24 (b) 2 (c) t (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**3 + 4*t**2 + 3. Let q(w) = -11*w**3 - 5*w**2 - 4. Let i(u) = 4*f(u) + 3*q(u). Find the third derivative of i(r) wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) 0.18 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13)*f**(-5\/3))\/(f\/(f*f\/(f**(-2\/5)*f)*f))**(4\/3) assuming f is positive.\nAnswer: f**(3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9776)\/329*126\/72.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2355095.7ns?\nAnswer: 0.00000065419325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/32)\/((-6)\/(-56)). Which is bigger: r or -15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2000495057 to the nearest integer?\nAnswer: 44727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 34, 56, 78, 100, 122?\n\"Answer: 22*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26244 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(3*(sqrt(6) + sqrt(24))) - (1 + sqrt(27) + 1).\nAnswer: -26*sqrt(3)\/9 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, r: 4}. Give prob of picking 2 z and 2 r.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*j**4 - 44*j**3 + 24*j**2.\nAnswer: -4*j**2*(j + 2)*(7*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 30*i**3 - 20*i**2 + 30*i + 25.\nAnswer: -5*(i - 1)*(i + 1)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 6*g + g + 26, -u - 3*g + 16 = 0. Is (-17406)\/18*1\/(u\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493304 (base 10) in base 8?\nAnswer: -11405570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -163652 in increasing order.\nAnswer: -163652, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.115 + -55. What is v rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddsnsysydnddsndnysn. What is prob of picking 1 n, 1 d, and 1 y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 0.03, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - c + 3 - c**2 - c. Let y be n(-3). Solve -y*o - 12 = -7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2092?\nAnswer: -418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 19 - 49) + 30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 + 70030*k - 23727735 = 0.\nAnswer: -14337, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237325806.\nAnswer: 2, 3, 397, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 - 5*a - 6. Let l = -10 - -16. Let x be c(l). Suppose x = -g + 6*g - 10. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*u**3 - 5\/3*u**4 - 4\/3*u**2 + 0*u + 1\/3*u**5.\nAnswer: u**2*(u - 2)**2*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.146 * 54.08\nAnswer: -7.89568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -9)*3*13\/(-39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -67*n**2 + 21*n + 11. What is u(-3)?\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (53 + -48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (3 - -25) + 56?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19281343.\nAnswer: 179, 107717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25\/(y\/(y**(-4\/11)\/y)*y) assuming y is positive.\nAnswer: y**(238\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(170)*-4 - sqrt(170)))\/((sqrt(30) - (sqrt(90) - (sqrt(90) - (2*sqrt(90) + sqrt(90))))\/sqrt(3))\/sqrt(3)).\nAnswer: -25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975363 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 20*l - 19*l. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 23 + 403. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39725.075963 - -43952?\nAnswer: 4226.924037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 9, 2 in decreasing order.\nAnswer: 22, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.95 + 5. Let u = -0.05 + i. Let x = 0.3 - 0.1. Which is the second biggest value? (a) x (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-40))\/((-6)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:19 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1502*r**2 - 9*r - 38. Let g be z(16). Suppose -13*f = 17*f - g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3274.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*v + 17 = 4, -10 = -5*v. Let z(u) = -9*u**2 + u - 2. Determine z(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0.1, 1.1.\nAnswer: 0.1, 1, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (776\/582)\/((-8)\/(-6018)) is divided by 180.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 10*o - 205, -5*o + 28*h - 31*h = -185 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22438 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 7) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/48186892 and -103\/130.\nAnswer: 240934460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409948*s**5 + 2*s**2 + 613*s - 6047 wrt s?\nAnswer: -8198960*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 22 = 4*y - 2*y, -7 = 3*y - 4*a. Sort 1, 12, y in descending order.\nAnswer: 12, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -1 + 2 + (-395 - -395) + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 5*o - 1 - 4*o**2 + 4*o**2. Let d be g(4). Suppose d*c - 4*n - 100 = -5*n, 162 = 5*c - 3*n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8072\/5045*(-5)\/76\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 163*a + 6581. Calculate n(-74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1219171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4441 is divided by 1105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874903.704 take away -1.5414?\nAnswer: -1874902.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 3760*c**4 + 88615*c**3 - 396130*c**2 - 680720*c + 992000 = 0. Calculate c.\nAnswer: -775, -2, 1, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36156610, 36156603, 36156596, 36156589, 36156582, 36156575?\n\"Answer: -7*h + 36156617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**2 - 1. Give z(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:11 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -252255, -504423, -756529, -1008573, -1260555, -1512475, -1764333?\n\"Answer: 31*z**2 - 252261*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8040 divided by -16880\nAnswer: -201\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let u(x) be the second derivative of x**7\/840 - 5*x**4\/12 + 2*x. Let w(j) be the third derivative of u(j). Give w(v(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksjh when four letters picked without replacement from {j: 3, h: 1, y: 4, s: 1, k: 1, o: 6}?\nAnswer: 1\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let g be 1 + -22*2\/40. Is x <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**2 - 214*b + 1624.\nAnswer: (b - 14)*(7*b - 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -q*a + a = -34. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*m + 106, -66 = -g - 0*m + 4*m. Suppose -9*z = -17*z + 160. Calculate the remainder when g is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2285 minus 0.4?\nAnswer: 0.8285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 - 12*w + 381 - 22*w**2 - 20*w**3 - 380 + 21*w**2 to s*w + h*w**4 + l + z*w**2 + x*w**3 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 432*k + 2608. Calculate n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/80388 and 59\/164430.\nAnswer: 3617460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/28*1\/(-2). Suppose 2*j + 2 = 3*j. What is the smallest common multiple of j and 3\/((-6)\/(-38)) + (t - 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 92*m**2 + 187*m\/2 + 185.\nAnswer: -(m - 2)*(m + 1)*(m + 185)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 61, 113, 171, 235, 305, 381?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57377070 divided by 9?\nAnswer: 6375230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - b - 3*b)*(-1 - 6 + 6) + (-7*b + 2*b + 2*b)*(-1 + 0 - 1) to m*b + t and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -821 + 12896. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p + 16*p**2 - p**5 - 11 + 6*p**4 - 14*p**3 - 4 + 17 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72) + -2)**2.\nAnswer: -72*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = v + 16480, -2*u + 6605 = 239*v - 242*v. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*y**2 + 20*y**2 + 24*y - 10*y**2 - 2*y**2 wrt y.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4630246 is divided by 661461?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 79, 181, 377, 697?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3079*s + 3077*s = 1, 0 = -d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 3)*(-2 + 0 + 1) - 118 + 787 + 97)*(3*j - 4*j + 14*j) in the form q + c*j and give c.\nAnswer: 9984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 343783 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132043 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*z**2 + 34*z**2 - 15*z**2 + 1 - z**3 to the form b*z**2 + o + f*z + a*z**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-10 - -22 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2020254 + -323?\nAnswer: -2021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -10.5 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-132 - 127 - 124 - 44 + 31997*k + 424).\nAnswer: -63994*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 781 = 2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let n(u) = -u**2 - 9*u + 2. Let x be n(-7). Solve i*s - x = 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10840095899 take away 22?\nAnswer: -10840095921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, g: 1}. Give prob of picking 3 w.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25471 (base 10) to base 4.\nAnswer: -12031333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 10. Let y(m) = 1856*m**3 - 144*m**2 - 480. Give -48*b(g) - y(g).\nAnswer: -1856*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-22)\/(-3))\/((-164)\/(-11562)) and 1410?\nAnswer: 15510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46531, 46649, 46769, 46891, 47015, 47141?\n\"Answer: c**2 + 115*c + 46415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34021877 to the power of 1\/2, to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 25106846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + -1)*2 - -1. Let s(d) = -2*d**2 + 2*d + 15. Let o be s(6). Let w = u - o. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -493625, 2, 3 in increasing order.\nAnswer: -493625, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 12*u + 12. Calculate the lowest common multiple of 11 and x(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 + -130. Suppose 244 = 7*z - 5*z + 4*o, u*o + 508 = 4*z. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -548 or -549?\nAnswer: -549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 + 29*o**2 + 11*o - 7. Let u(q) = -40*q - 710. Let c be u(-18). Give t(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2563 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + 0.8. Let w = z - -3.01. Let f = 2.99 + w. What is the third smallest value in 1\/4, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-11)\/(-275)*5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 11*j**2 - 21*j + 31. Give u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/69 and 32\/33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 615\/20 - (-1)\/4. Let r = 33 - m. Suppose -40 = -a - q + 185, -3*q = -r*a + 425. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = 4. Let l(o) = -3*o - 3*o - o**3 + 8*o**y. Let a(j) = -6*j + 4*j**3 + 11*j**3 - 7*j. Determine 6*a(z) - 13*l(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15159*t + 90975. What is j(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 376 - 376 + 410*l**3 + 2*l - l**2 to v + x*l**2 + y*l**3 + u*l and give y.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23499 is divided by 3350?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*z = -32961 + 35261 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 48 = 2*o - 5*o, -5*o = 4*s - 125. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103355?\nAnswer: 3, 5, 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -760140.\nAnswer: -1\/190035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/45 and 38\/7095135.\nAnswer: 21285405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -1\/6 (b) -2 (c) 0.08 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = -0*m - h, 0 = 4*m + 3*h + 9. Suppose m = -p - 2*p + 75. Suppose 7*i = 2*i + p. Solve i*y = -4*a - 30, 0*y - 3 = -y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(((-78)\/16)\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = 5*g - 9*c, 0 = 2*c. Let t(u) = 11 - 5 - g*u - 6. Let k(n) = -2*n + 2*n - n. Determine t(k(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 4, b: 9, n: 3}. What is prob of sequence nb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*b = 2 + 16, 2*l - 10 = -2*b. Let t be l\/(-70)*(6 - 11). Solve -t*j**4 - 4\/7*j**3 + 0*j + 0 - 2\/7*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -16.2. Let p = 12 + -10. Let v = p - c. What is the second biggest value in 1, 2, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + 0 + 3 - 4 + 3 - 6 + 2 + (-3 + 0 + 2)*(1 + 3 - 3) + 1 + 1 - 3)*(-12*k - 7 + 7).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -781*c**4\/2 + 193*c**3\/3 + c**2\/2 - 6548. Find the third derivative of f(m) wrt m.\nAnswer: -9372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/7 - 3735*w**4\/7 - 505626*w**3\/7 - 17248230*w**2\/7 - 58764777*w\/7 + 76522365\/7 = 0. Calculate w.\nAnswer: -61, -5, 1, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/690023 and -55\/1748?\nAnswer: 2760092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16713, 32912, 49111, 65310, 81509, 97708?\nAnswer: 113907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027546969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5224*d + 1395 = 5179*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84537\/37572*20\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*b = -2*y + 8, -24 = 4*y - 5*b. What are the prime factors of ((-9)\/3)\/(y\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486 (base 10) to base 13\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3424.0722 + -323.4338. Let i = a - -3751. Round i to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250486.\nAnswer: 2, 125243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.8710951 - -18.872. Round d to 5 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:16 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64780.99 - -65187. Round g to zero dps.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 674? (a) -200 (b) 29.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70616548 less than 0.02921?\nAnswer: 70616548.02921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3995, 3999, 4009, 4025, 4047, 4075?\nAnswer: 4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 26*v - 128. Let t be ((-14)\/8)\/((-275)\/(-44) - 6). What is g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5604, -1\/2, 46, -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2)\/(-8) + 6\/168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.99 - -0.01. Let o = q + -4.3. What is the nearest to 0.1 in o, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3145, -11998, -26551, -46798, -72733, -104350, -141643?\n\"Answer: n**3 - 2856*n**2 - 292*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606 a factor of 2044048508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23971 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than 307027?\nAnswer: 307028.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + ((sqrt(468) + 2)**2 - sqrt(468)) + 2 + ((sqrt(117)\/(sqrt(18)\/sqrt(6)))\/(sqrt(6)\/(sqrt(2) + sqrt(72) + sqrt(2))))**2).\nAnswer: -3903 - 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54*1 + -1 - (9 + -6). Suppose 7*c = 9*c - v. Solve 0 = 3*x + 4*p - c, -x - 2*x + 2*p = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-9)\/(-15))\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(343)*1*6)*-1*-5.\nAnswer: -1260*sqrt(7) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 19914080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - 0) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 408, 396, 368, 318?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4219*x - 25795. What is j(6)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52294.8 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 86. Suppose c = 4*s + k, -s - 11 - 3 = 5*k. Is s at least 2\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a - 2?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7\/3, -1\/58, -95, -0.5?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 8251074*f\/7 - 140268836\/7.\nAnswer: 2*(f - 4125554)*(f + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 7\/971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031, -1405, -1773, -2141, -2515, -2901, -3305, -3733?\nAnswer: -4191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(4\/5)*(g**(2\/3))**(-17))\/((g**(-1))**(-24)*(g*g**(-3))\/g**0) assuming g is positive.\nAnswer: g**(-508\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79467 less than or equal to 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1.5. Let g = f - 0.09. What is g rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.1369 and -0.0286?\nAnswer: 3.1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(77)\/(sqrt(11)*-1 - sqrt(11)) + sqrt(35)\/sqrt(5)*-3)*6.\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*q - 722, 3*q - 2*p - 427 = 112. Does 11 divide (-6)\/(-14) - -5*q\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbggrkggbubrkybbkgu. What is prob of picking 1 y and 1 k?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at most 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x - 64. Let o be r(5). Solve 5 = 5*t + 4*p, 4*t - o + 23 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/20, 2, -3, -130?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*u + 14, -4*u - 5*n + 23 = -0*n. Let m be (-2)\/(-7) + 26\/7. Let j be 3*15*m\/18. Solve 5*h - j = p, -u*p = -7*p + 5*h - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.09 (b) 0.4 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-35)\/(-22)*(3 + -1). Sort -5, 93, g in decreasing order.\nAnswer: 93, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-1719)\/(-5730).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Let c = 4.4 - p. What is the third smallest value in -4, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 7973447\nAnswer: 55814129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*m**3 - 3*m**2 - 10*m + 1168.\nAnswer: 54*m**2 - 6*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iffq when four letters picked without replacement from {d: 1, q: 1, g: 5, i: 1, f: 2}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 865*z - 103. What are the prime factors of c(5)?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99133, 99136, 99139?\n\"Answer: 3*n + 99130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6744789389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a factor of 5091855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6994?\nAnswer: 2, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3749 and 59\/36512.\nAnswer: 839776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317396 is divided by 5907?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 10*t**2 + 9*t + 4. Let c be b(9). Let i be 1*8*2\/8. Suppose 5*y - 15 = i*y. Solve c*x + 0*k - 2*k - 2 = 0, 5*k + 10 = y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 27\/(-6))*(-1734)\/153. Suppose 0*i - 4*i = -12. Suppose 0 = 2*r - 2*f - m - i, 3*f = -5*r + 34. Calculate the smallest common multiple of 22 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0 + 0)*(21 - 2 + 1) - 2*z + 3*z + 3*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(1\/14))**(-7\/6)*(o*(o\/((o\/(o\/(o\/o**(-1\/2))))\/o))\/o)**(2\/15)\/(((o*o**(-1\/2)\/o*o*o)\/o)\/o**(3\/4)) assuming o is positive.\nAnswer: o**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 21 = 181. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11217.\nAnswer: 3, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74920 or 74911?\nAnswer: 74911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/4*28\/(-35). What are the prime factors of (x + 0)*20\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35079 or 35081?\nAnswer: 35079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 - 31464*m + 164997216.\nAnswer: 3*(m - 10488)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 1. Let n be b(1). Let t = -3 - n. Let y(l) = l**2 + 3*l - 1. Determine y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = g + 2*r + 15, -4*g = 4*r - 20. Solve g = 4*b + 3*h - 6, -2*b + 0*h + 10 = -2*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-332)\/(-5))\/((-6)\/(-60)). Let k = 6 - 1. What are the prime factors of j\/(-6)*(104\/(-16) + k)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1580 - 6a9a1?\nAnswer: -71471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147 - 137 - (25 + 0 + 4 + 3 + -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1575\/(-20))\/45*33\/7)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 11*o - 20. Let y be w(8). Suppose 2*r - 2*n + 24 = y, 0 = -3*r - n + 154. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -5394.\nAnswer: 3\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -4) + -6 + 32. What is the greatest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 172347594 and 0.047.\nAnswer: 172347594.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*j + 5*j + 2*j)*(-42*j - 9 + 4 + 6 + (15 - 21 + 22)*(3*j - 3*j + j)) to y + i*j**2 + u*j and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24855 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b. Let d(k) = 5*k + 7. Let z(a) = 2*a + 3. Let v(h) = 6*d(h) - 14*z(h). Give o(v(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*a + 2*a - 10, -2*r = 8. Let y(z) = -z**3 + 2*z**2 + 5*z + 12. Let i be y(a). Let t = -9 - i. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + y - 7 + 21 = 0, -11*y + 13*y = -5*h - 43 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + 20961532.\nAnswer: 20961532.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 8)*(458*h**3 - 1049*h**3 + 458*h**3)*(0*h + 2*h + h).\nAnswer: 2793*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176559?\nAnswer: 3, 229, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.632 + -2108.368. Let r = z + 2111.853. Let l = 0.053 - r. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p + 1. Let u be a(-3). Let f be 6 + -2*(-3)\/u. What is the second derivative of -6*v**5 + 0*v**5 + f*v**5 - 3*v wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4645425139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -0.2, -50, -3\/4 in increasing order.\nAnswer: -50, -3, -3\/4, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245754 = 49*p - 27862 - 22137. Is -3995 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346050 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*w + 3*w + 0*w)*(0 + 2 + 0) + 0*w - 2*w + w)*(15 + 8 - 6)*(-211 + 211 - 79*w).\nAnswer: 4029*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/224 and 83\/116.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9751123 is divided by 506.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - -1)) + 3 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 times 5?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5 - 5)*(3*f + 2*f + 2*f - 5*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*b + 84*b - b**3 + 51 + 0*b**3 - b**3 + 55*b.\nAnswer: -2*b**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4687.9 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + 7. Let h(r) = -r**2 + 46*r + 497. Let a be h(55). Suppose -z + a*o + s = 0, 2*z - 4*o - 46 = z. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 > -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y - 4*l = -8, -5*y - 5*l = -10. Suppose 3*q + q + 8 = y, 4*v + 5*q = -18. Let f be (-8)\/(-45) - v\/9. What is the third biggest value in -5, f, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -28*f**2 - 1290*f - 73. Let m be n(-46). Solve 0 = v + r, -2*r - 17 = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 + 322956*i\/5 - 8691714828\/5.\nAnswer: -3*(i - 53826)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 91. Solve 0 = 5*o - 8*o + w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-1*sqrt(600) - sqrt(600))*6)**2.\nAnswer: 9\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 520204.\nAnswer: -5\/520204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11853*g + 15 = 11868*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:22 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323468889*w**3 - 63448623*w - 1 wrt w?\nAnswer: 1940813334*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -5) + (-31)\/(-4) - 255\/(-1180)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374318 greater than 12748635\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375763.2 millilitres to litres.\nAnswer: 375.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1602 divide 330191424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41717618?\nAnswer: 2, 523, 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -1218, -1841, -2464, -3087, -3710?\nAnswer: -4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*i = 8, h + 2*i = 3*h - 12. Suppose -4*b + 5*r - 5 = 0, -b = 2*r - 17 + 2. Suppose 4 = -y + 5*y - 4*p, b*p = 3*y + 1. Sort h, y, -4.\nAnswer: -4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.9, 15, -16, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/109, 0.3, 5, 15\/8 in ascending order.\nAnswer: -2\/109, 0.3, 15\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 148 = -0*q + 4*q, -3*q + 118 = -5*w. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 18*u + 7*u - 165 = 25*q, -5*u - 2*q + 105 = -3*q for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 20. Let x = -1 + -8. Let v be j(x). Solve 3*a + 5*u - u = v, -3*a = u + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 2*w**2 - 6*w + 5*w)*(-2 + 6*w + 2)*(2 + 1 - 2) as k + c*w**3 + a*w**2 + d*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*p - 54 = 0, -2*x + 15 = -3*p - 21. Suppose -123 = -3*o - x. Suppose 5*w = w + 56. What is the highest common factor of o and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(3 + 2*f + 17 - 18 - 11*f**2) to the form n*f**2 + v + p*f and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 136. Suppose -8*q + v + 95 = 0. What is the greatest common factor of 510 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, o: 2, w: 13}. Give prob of picking 1 b and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -28158129 greater than or equal to -28158131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(8459 - 2340 - 1516*x + 1518*x).\nAnswer: -4*x - 12238","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(-61 - -58)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**3*v**2 - 34374*p**3 - 360*p*v**2 + 3*v**2 + 8*v + 49 with respect to v.\nAnswer: -14*p**3*v - 720*p*v + 6*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 - (-10 - -1 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnozssy. Give prob of picking 1 n, 1 y, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*f - 8 = -0*f, -3*j = 4*f - 5. Let h be -3 + j + 1 + 1. Solve -5*v + h = -4*x, -12 = -0*x - x - 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/11691460 and -125\/33564.\nAnswer: 35074380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 11*o + 16. Let j be h(8). Let u be (9\/48)\/(2\/j). Which is the third smallest value? (a) -1\/4 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(0*j + 0*j - j)*(-6 + 20 + 99)*(2*j**2 - 1 + 1).\nAnswer: 904*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 6789?\nAnswer: 6792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 0.06 (c) -1\/2 (d) -5 (e) 1825 (f) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2. Let l(g) = 30*g - 298. Let n be l(10). Let z = 6 + -4. Let i(w) = -13*w**n + 6*w**2 + w**2 - 3 + w**z. What is -i(m) + 4*p(m)?\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 469.8801 years?\nAnswer: 46.98801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.9 + -45. Let n = 219 + -8543\/39. Let r = 8\/13 - n. What is the nearest to r in p, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 246, 133, 20, -93, -206?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5793904 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -419, -416, -413, -410, -407?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 312.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 409?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/288 and -20\/67317.\nAnswer: 6462432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*10\/(-25))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*t**5 + 54*t**2 + 3?\nAnswer: -13140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -164*n + 21*n + 145*n. Let i(x) = 135*x**2. Determine i(b(w)).\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/18)\/(2\/6). Let l = 4 - w. Differentiate -5 + 5 + 0*m**4 + m**4 + l with respect to m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-26 - -66) + -18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0012*-17\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14242 + -13896. Which is greater: i or 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -21. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9))\/(4\/216). Suppose 0 = l + 2*l + w. Is ((-56)\/l)\/((-2)\/(-93)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:26 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5446719*j**2 + 20074108.\nAnswer: -10893438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/87028 and -121\/6620?\nAnswer: 144031340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -51, 8\/3, -2, 116.\nAnswer: -51, -2, 0, 8\/3, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let j(s) = 7*s + 3. Determine j(n(r)).\nAnswer: 7*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -2\/5, -4, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9689 + -0.0311. Let a = 5\/6 + -4\/3. Put s, -5, -0.9, a in descending order.\nAnswer: a, -0.9, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 14542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2371245, -10?\nAnswer: 2371245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.46 - -2266.54. Let z = 2270.1437 - j. Round z to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2)*-1)\/(-4)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 434.\nAnswer: -173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370*f**2*k - 53874*f**2 - 6*f*k**2 wrt k.\nAnswer: -370*f**2 - 12*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3)\/c*c*c**14)\/(c**(-19\/3)*c*c**(-2\/31)\/c*c) assuming c is positive.\nAnswer: c**(1618\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -40. Suppose g*u + 4*u - 500 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 12. Let o be 58\/u - (-2)\/10. Find the third derivative of -5*n**6 + 6*n**6 + 4*n**2 - 2*n**o wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -102163?\nAnswer: -9\/102163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1518 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2579 or 5157\/2?\nAnswer: 5157\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 14195098*n\/11 - 42585276\/11.\nAnswer: -2*(n - 7097546)*(n - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**3\/3 + v + 11. Let n(s) = 28*s**2. Determine h(n(q)).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 447, 511, 611, 741, 895?\n\"Answer: -v**3 + 24*v**2 - v + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 - 8 + 14 - 8 + (-y + 3*y + 3*y)*(0*y + 0*y + 2*y) + 1 - 1 + 2*y**2 in the form q*y**2 + m + r*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 693 - 17325 = -3*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 129987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -0.091.\nAnswer: -16.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2169798708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 2*c**4 + 2*c**4 + (5*c + 0*c + 0*c)*(-2*c - 2*c + 3*c)*(-2*c**3 + 0*c + 0*c).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 3. Let v(f) = f**2 + f + 2. Let z(h) = 2*b(h) - 3*v(h). Let j be 2\/9 - (-102)\/27. Let u be z(j). Solve 0 = -q + 3*q + u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*r**2 - 267*r**2 - 79*r**2 - 80*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-5) - (-4 - (-33)\/4) and -29\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*r + 3*c - 16, 7*r + 5*c = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*i + 6, -20*z - 3 = -3*i - 15*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + 17*c + 11. Let s(g) = 2*g**2 - 5*g - 11. Determine -3*h(m) - 2*s(m).\nAnswer: 3*m**3 - m**2 - 41*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5284, -10137, -14572, -18589, -22188, -25369?\n\"Answer: 209*j**2 - 5480*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/6 - 2*t**2 + 3*t. Let l be i(-8). Suppose 2*j + 8 = -2*p, -l*j = -p + 3*p + 8. Sort p, -5, -3.\nAnswer: -5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -45a9?\nAnswer: 45a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13742*v**2 + 83*v + 82. What is the tens digit of t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -17 + 255. What is the remainder when x is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -197, -438, -775, -1208, -1737, -2362?\nAnswer: -3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.023 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by 3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 27. Let t be o(-6). Suppose 2*u - 2 = 0, 0 = -t*z + 3*u + 5 + 4. Suppose -z = -4*b + 3*b. Solve -2*v + b*a - 10 = -v, 2*v - 3*a = -10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7689?\nAnswer: 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.03115, -19, 2\/7?\nAnswer: 0.03115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*sqrt(209) - sqrt(209)) + sqrt(209) + sqrt(209)) - (sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209)*1)*2)\/(-2*sqrt(1584)*1).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 30*b + 43. Determine l(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18210, -42016, -71410, -106392, -146962, -193120, -244866?\n\"Answer: -2794*j**2 - 15424*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/40 and 89\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 3248*c - 3244.\nAnswer: -4*(c + 1)*(c + 811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30834*y**3 + 99*y**2 - 2*y + 6558236.\nAnswer: 185004*y + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 25*h**4 + 12715*h**3 + 32910*h**2 + 10100*h - 10120 = 0.\nAnswer: -506, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p - 1473 = -3*a, 0 = 3*a + 5*p - 1441. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**7\/630 - o**6\/360 - o**4\/6 - 3*o. Let t(z) be the third derivative of s(z). What is the second derivative of t(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/54?\nAnswer: 11\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 39*c - 342. Let r(d) = -4*d**2 + 17*d - 1. Let n(x) = -9*x**2 + 34*x - 3. What is c*r(j) - 3*n(j)?\nAnswer: -j**2 + 17*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 82*f + 56. Give g(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {w: 2, i: 2, l: 1, c: 1, z: 1, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 266*y**2 - 621*y + 26. Calculate o(4).\nAnswer: 1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -58. Sort m, 5, -3 in ascending order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -6, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 43.73, 0.3, -2\/17, 3\/7, 2, -0.22?\nAnswer: 43.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 402\/14 - (-2)\/7. Suppose 261*g - 615 = 14523. What is the greatest common divisor of g and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-99) + 6\/(-33). Let j = -0.5 - -0.5. Which is the nearest to j? (a) n (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10276.65 * 12\nAnswer: -123319.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8978*a**2 + 39664*a + 43808.\nAnswer: 2*(67*a + 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 36843832.\nAnswer: 147375328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1\/36*o**5 - 11 - 1\/1080*o**6 + 23\/3*o**3 - 25\/72*o**4 + 0*o**2 + 0*o. Let u(k) be the third derivative of j(k). Factor u(c).\nAnswer: -(c - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/12 + 2\/(-6). Let y = i + 3. Let m be (-6)\/5 + 960\/1800. Which is the closest to y? (a) -3 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:23 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by -1.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110110001010 + -1001?\nAnswer: -11001110110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21 (b) 5572 (c) 23 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -0.9. Let c = -24275 - -24274. Suppose -2*r - 5*x + 131 = 0, -5*x = 3*r - 0*r - 199. What is the second smallest value in c, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11664.245 + 11699. Round n to 1 dp.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11668 and -4.\nAnswer: 0.46672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l. Let k(i) = -i**2 - 3*i - 1. Give k(c) - 4*q(c).\nAnswer: -5*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -7769448 and -0.4.\nAnswer: -7769448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*z**3 + 2*z**2 - 4?\nAnswer: 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3347336 - 6891133\/2. Let u = x + 95879. Let p = u + 2396. Calculate the common denominator of 87\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/25)\/11*(-1650)\/(-90).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89455.6683 + -0.5.\nAnswer: -89456.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 474066*h\/5 - 474068\/5.\nAnswer: 2*(h - 1)*(h + 237034)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 4*u, 4*q = 2*u + u - 27. Suppose 2200012 = -u*a + 3*c, -5*a = 2*c - 4*c + 2200008. Round a to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*i**2 + i**3 - 4*i**2 - 2*i**3 + 3 as a*i**3 + d*i + r + s*i**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 406 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*v + 58, -4*z - 3*v = -28 - 17. Let j = z + -6. What is the remainder when 0 + (11 - 0\/(-2)) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9 - (-4)\/(-6). What is the units digit of (2 - -83)*u\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*4 - sqrt(34)\/sqrt(98) - ((sqrt(1700)*-1 - sqrt(612)*-1) + -5).\nAnswer: 5 + 307*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986 is divided by 352?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2*4)\/(sqrt(24)*2))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and -67\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(500) + 1 - sqrt(500))*-5 - sqrt(500)) + -2)**2 + (sqrt(500) - (sqrt(500)*-1)**2*-5) + sqrt(500) + (sqrt(500) - (sqrt(500) + 1)**2*-2).\nAnswer: -210*sqrt(5) + 2404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 625.2313mm?\nAnswer: 625231.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/(11\/88) + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7633.627mg?\nAnswer: 0.000007633627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1282396.9977 and 0.232.\nAnswer: -1282396.7657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let h be j(4). Let y = -2 - -4. Which is the nearest to -1\/3? (a) y (b) -2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(189)\/(2*sqrt(7))*-6)\/((sqrt(225)*2 + sqrt(225))*-1))**2 + -5).\nAnswer: 732\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*t - 0*t + 35, 0 = -5*t + 2*m + 712 - 665 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, k: 3, l: 1, a: 3, z: 4, h: 1}. Give prob of picking 1 t and 2 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1. Let m(l) = -2*l + 8. Let g be 3 - (3 - 4)*-1. Suppose 2*a = -g*h - 34, -3*a - 78 = 5*h + 9. Let i be (24\/h)\/(4\/(-18)). Determine i*c(u) - m(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 823889 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Find the third derivative of 3*f**2 + 3*f**2 - 10*f**g - 3*f**2 + 4*f**5 wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7200)\/(-112)*4326\/2781.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g - 51*g - 6*g + 12*g.\nAnswer: -87*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*l = b + 1, 45 = -5*b + 5*l. Calculate the lowest common multiple of 9 and (-10)\/(-4)*(b + 2 + 12).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412531 < 9488210\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 870 and 6870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6\/7)*v**13)**47 assuming v is positive.\nAnswer: v**(4888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:40 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 109783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1.49\nAnswer: 5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01941884 to 5 dps.\nAnswer: 0.01942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -64. Let t = -29 + j. Solve 0 = 4*o + t + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 9418?\nAnswer: -2\/4709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122010553?\nAnswer: 7, 61, 163, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.03 (c) 3610 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22226, -22209, -22192, -22175?\nAnswer: -22158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 16 - 26. Let f = r + 24. Solve -6 = 5*i - 2*i, 0 = -l + i + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8770862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13164899.\nAnswer: 11, 1196809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 224815 = -66451. Let d = b + 633023\/12. Let p = d + 665\/24. Find the common denominator of 19\/10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 9*f**2 - 9*f + 11. Let z be u(8). Let o(t) = 1 + 2*t - z + 3. Calculate o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27343 divided by 2930\nAnswer: -27343\/2930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:06 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 2 - (-4 + 4) - (97 - 97).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18479402 is divided by 6159789.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209\/(-1881)*8928\/16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -5, -1, -505 in decreasing order.\nAnswer: 52, -1, -5, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 100, 390, 984, 1984, 3492?\nAnswer: 5610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2377 (base 8) to base 4.\nAnswer: -103333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t - 1. Let n(w) = 2*w + 1. What is -n(g) + z(g)?\nAnswer: 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/6 + 55*j\/3 - 3025\/6 = 0.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 11*k**2 - 3*k - 30. Let q be o(-11). Suppose -4*j + h = q*h - 124, 0 = -j + 5*h + 53. What is the highest common divisor of j and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a**6\/a*((a\/a**(2\/3))\/a*a)**(7\/2) assuming a is positive.\nAnswer: a**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14550 by -3.\nAnswer: -4850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -12222010121200?\nAnswer: -12222010122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*d + 79 = 0, 2*h + 464 = 3*d + 410. Put 67, -5, 4, h in ascending order.\nAnswer: h, -5, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(33)\/sqrt(176))**2 + (sqrt(6)\/(sqrt(2)*2 + sqrt(2)))**2 - (sqrt(12)\/sqrt(4) + -3 + sqrt(15)\/sqrt(180))**2)*-4.\nAnswer: -32*sqrt(3) + 201\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1+-85.32\nAnswer: -86.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-2)*(8 + -1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74701.\nAnswer: 11, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12376680621744 and 4.\nAnswer: -12376680621740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*i - 4\/3*i**2 + 0 - 1\/3*i**3.\nAnswer: -i*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + i**4\/12 - i**3\/2 - 7*i**2. Let v be h(-4). Solve 0 = 2*s + s + g + 15, -25 = v*s - 5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 + -4. Suppose -2*s + 244 - 242 = 0. Let o be (-2150)\/(-3300) - ((-5)\/(-6) - 0). Which is the nearest to s? (a) h (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 + 655 - 13*k + 43*k - 331.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 + 122*z - 122*z + (0*z + z**2 + 0*z)*(9 - 70 - 44)*(-1 - 3 - 1) as q + n*z**2 + l*z and give n.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (4*sqrt(192))**2)*-1.\nAnswer: -sqrt(3) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1157, -4671, -10529, -18731?\nAnswer: -29277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3202.\nAnswer: 1280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956 times 54?\nAnswer: 105624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 9*k - 2. Let p be l(6). Let i be 2\/(-11) - p\/22. Suppose 10 = -i*b + 5*b. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 smaller than -178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**2 - 5. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -29*n**2. Let j(r) = 1378*r**2 - 32*r + 64. Let o(d) = 212*d**2 - 5*d + 10. Let a(w) = 5*j(w) - 32*o(w). Give l(a(u)).\nAnswer: -325844*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111792 and 72?\nAnswer: 335376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.7303127 to 3 dps.\nAnswer: 13.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 631427841 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39092 - 2716 = 8*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 70*p + 828. Let y be l(-15). What is the greatest common factor of y and 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869628997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 748.\nAnswer: -1\/748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, -90, 3, -2, -6 in decreasing order.\nAnswer: 17, 3, -2, -4, -6, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 6*c - 41*c - 33*c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2. Let g be (-40)\/(-15) + (-2)\/3. Let h(c) = c**2 + 2*c**2 - 2*c**2 - 2*c**g. What is a(h(u))?\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - 35\/3. Let k = z + 9. Is 13 a factor of 42 - (k + 7 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o*u**2 + 3*o*u - 45*o - u**2 - 16*u - 34 with respect to u.\nAnswer: 4*o*u + 3*o - 2*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(10*c - 71*c + 0*c)*(-5 - 25 + 2).\nAnswer: 1708*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - d**5 - d + 6*d - 6*d**2)*(4 - 6 + 9).\nAnswer: -7*d**5 - 7*d**2 + 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*8\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 17 = -112*w + 116*w, 7*w - 9 = 2*w - 2*t + 33 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421713041?\nAnswer: 29, 2879, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/12)\/l*l)\/(l**(-19)\/l)*((l**(-1\/14)*l)\/l)\/(l**(2\/21)\/l) assuming l is positive.\nAnswer: l**(251\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*h + 927 = 96 + 84 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 123 + (70 + 19 - 143)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.94376558 to 2 dps.\nAnswer: -15.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, -3\/8, 9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*t**3 - 2 + 14*t**2 - 14*t**2 with respect to t.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69638659.\nAnswer: 283, 246073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 9*o - 10*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*(sqrt(847)*1 - sqrt(847)) - sqrt(847))*1)**2*5.\nAnswer: 67760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 5*y + 5, 23 = 2*d + 1044*y - 1039*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(56)\/sqrt(8) - sqrt(7)))**2.\nAnswer: 10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 72.9\nAnswer: 218.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 12. Let h(s) = -1. Let u(c) = 4*h(c) - i(c). Calculate u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 53*c**2 + 542*c - 25517. What is i(52)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9aa940 (base 13) to base 10.\nAnswer: -3650790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.4 (b) -0.2 (c) -39.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/6 - 16*r + 480 = 0. Calculate r.\nAnswer: -120, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p, 546 = 3*g - 2*p - 233. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 21.0082?\nAnswer: 23.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let i(a) be the third derivative of 0 + 0*a**4 - 44*a**2 - 1\/20*a**5 + 0*a - 3\/2*a**3. Determine i(v(s)).\nAnswer: -3*s**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15665 - -0.1877026?\nAnswer: -15664.8122974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 16*n = 65*n + 1575 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:46 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -11*b**6\/5 + 2*b**4 + b**3\/6 - 749*b**2\/2 + 8183*b. What is the second derivative of y(t) wrt t?\nAnswer: -792*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18*16\/((-640)\/4))\/6)\/(9*-3).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7781a (base 13) in base 8?\nAnswer: 647151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/574 and 83\/492?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 - 267*q**3\/2 + 673*q**2 - 813*q\/2 - 4851\/4 = 0. What is q?\nAnswer: -539, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:44 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 147\/6*(-8)\/(-14). Solve 4*p = -i + 1, -6*p + 2*i = -2*p + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, -16\/5, -0.4108, -1, 0.1?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/472393 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 5, v: 2, g: 1, d: 8}. What is prob of sequence gvvd?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.06 (c) 2489 (d) -2\/5 (e) -0.3 (f) 4 (g) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -33881, -3 in ascending order.\nAnswer: -33881, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 4*d**2 - 1\/15*d**5 - 1\/2*d**3 + 0*d + 0*d**4 + 0. Find the first derivative of w(v) wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2 - 759*x - 11351. What is z(-16)?\nAnswer: -2023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32446676?\nAnswer: 2, 17, 673, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 7*c - 4. Let h be q(-9). Let r be ((-8)\/h)\/(10\/35). Let j be r\/(4 - (-152)\/(-36)). Is 8 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -4*y + 9*y. What is the greatest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0 + (-3 - -2)). Let w = -2 - -1. Let r(f) = -f**3 + f**2 + f. Let n be r(w). Put b, n, -2 in descending order.\nAnswer: n, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:14 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 94*x + 2. Let s(a) = -a**2. Give s(v(i)).\nAnswer: -8836*i**2 - 376*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5761 = 3*x - 5878, 61*x + u = -102 + 2173 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19947268 + -32041562. Let f = -7313501 - v. Let x = 14519207 + f. Round x to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435317209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Let f = j + -4.004. Round f to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -78 - -55 - -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99449977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48190, 192735, 433644, 770917, 1204554, 1734555, 2360920?\nAnswer: 3083649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) 227022 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**4 - 29*i**3 - 380*i**2 - 30134 with respect to i.\nAnswer: -12*i**3 - 87*i**2 - 760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1400726 - -433?\nAnswer: 1401361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7315584.368 to the nearest 10000.\nAnswer: 7320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 13077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -146. Solve h = x + 3*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-5\/2)))\/((v*v*v\/v**(2\/9))\/v))\/(v**0*v)**33 assuming v is positive.\nAnswer: v**(-671\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Suppose b*k - k = -4. Let i be (-3)\/(-6)*k*-10. Solve -i*t = -35 + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 121.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*m = -1, -4*o + 20 = o + 5*m. Let n be o - (4 - 0)\/(-1). Solve -2 = -4*s + 5*b - 33, n = -s + 3*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9699)\/(-15) + 2\/5. Let y(k) = 150*k - 6. Let g be y(-3). Let n = g + o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 882, 881, 880, 879, 878?\n\"Answer: -m + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.099 - -0.021. Which is the closest to 1\/2? (a) d (b) -2\/13 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let z(l) = l**2. Calculate m(z(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 - 5*b**2)*(12*b + 10*b - 5*b + 2*b + 3*b - 6*b + (3 + 0 - 2)*(-b - 3*b + 3*b)) + (-1 + 1 - 1)*(1 - 1 + b**3) + 2*b - 2*b - b**3.\nAnswer: -47*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/5))\/r**(-10) assuming r is positive.\nAnswer: r**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 2. Suppose 5*g + 3 = 4*i, 2*g + i = 5*g + 6. Let h be 4\/(-14) - g*207\/189. Let n(k) = -2*k - 4. Give h*n(r) + 5*b(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 441\/945*24\/28. Which is the nearest to -1414? (a) -5 (b) p (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -4 - (1 + 1 + -3). Suppose -5*d = 2*q + 2, -4*q + u*d = -q - 16. Suppose -7*k = -q*k - 69. Is 24 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -9 + (0 - -10 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.025 and -1.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296966951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 + 18*v**2\/5 + 48*v\/5.\nAnswer: -3*v*(v - 8)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(54) - (sqrt(27) + sqrt(324)\/sqrt(192))) + (-1*sqrt(270)*-1 - sqrt(270))\/sqrt(10).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) -11 (c) 79 (d) -1 (e) -80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 40 = 2*b - 5*b, -5*b + 5*f = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -12*o + 7. Let c(m) = 0 + 1 + 11*m - 7 - 1. Suppose -3*w = w + 20. Let d(h) = w*i(h) - 6*c(h). Differentiate d(f) with respect to f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:12 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159155*0.13.\nAnswer: -20690.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29494547?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Suppose 40 = m + 42. Let z(u) = -10*u**2 - 1. Determine m*z(p) + 11*w(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2820080 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719*j - 715*j - 1827 = 5*g, -3*j - 4*g + 1347 = 0. What is the remainder when j is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -21)*((-2320)\/(-50) + -47)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/3780 + p**6\/360 - p**5\/90 + p**4\/3 + 3*p**3 - 40*p. Let l(a) be the third derivative of i(a). Factor l(z).\nAnswer: -2*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 - 3*m**2 - 2*m - 1. Let t(o) = o**3 + o**2. Let q(r) = p(r) + 3*t(r). Suppose -5*h = -0 + 5. Give q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 - x. Let l be m(2). Suppose l + 4 = 2*g. Suppose b = -s + 12, 2*s + g*s - 52 = -3*b. Solve -2*r + s + 0 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*c**3 + 292*c**2 + 1044*c + 728.\nAnswer: -4*(c + 1)*(c + 2)*(6*c - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 217072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-120)\/(-12))\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1652\/2478)\/(4\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.6. Let t = -3 - -3.2. Put t, j, 0.4 in ascending order.\nAnswer: j, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmrrmrrrrrmmmrm. What is prob of sequence rmm?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 42*d = 408 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192) - sqrt(24)\/(-2*sqrt(8)) - (-4*-3*sqrt(48))**2) + -1)*3.\nAnswer: -20739 - 93*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -3)\/(-8 + (-370)\/(-20)). What is the nearest to -3 in -2, o, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15633 - 13510. What is the remainder when s is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 387*j + 648 + 1772 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 405 - 269. Let i be (28\/35)\/(2\/130). Let x = i - w. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2359*o**2 - 2404*o**2 - 2343*o**2 + 9573*o**2 - 2331*o**2.\nAnswer: 136*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23931199189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-4))\/(11\/(-110)). Let s be (784\/a)\/4*20\/(-2). Let z = 64 - s. What is the least common multiple of 11 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2141981 - 0?\nAnswer: -2141981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1206 and 22512.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 41 + 15 - 3*j to c + k*j and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n + 2. Give v(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131098077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 3*a = -132846. List the prime factors of a.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38396088 and 21331160?\nAnswer: 191980440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4232 and 503021868?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - -21 - -4) + (3 - (2 + -3)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 72006660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (332\/(-830))\/(2\/(-20)). Let -2\/17*v + 2\/17*v**o - 6\/17*v**3 + 6\/17*v**2 + 0 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**3 - 11*n**2 + 13*n + 76. What is j(-2)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*v + 162, -2*v = 5*x + v - 230. Let g = x - 34. Solve g = -2*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51442871 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0896849 weeks in nanoseconds?\nAnswer: 54241427520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 311*d + 79398. Calculate b(92).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9253746 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + w**2 + 147*w**3 - 56*w**3 - 21 - 93*w**3 + w**4 + 3*w to the form y*w**4 + x*w**3 + k + z*w + u*w**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*w + 13*w + 1065 - 3712.\nAnswer: 494*w - 2647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1265*j - 2531*j - 3*j**2 - j**3 + 1272*j to the form g*j + m + b*j**3 + u*j**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-340)\/(-195))*27\/(-15)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 3199275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/(n**(-2\/5)\/n)*n)\/n*n))**(1\/3)*(n**(-1))**(-3\/5) assuming n is positive.\nAnswer: n**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23*b + 2. Let z(s) = 797*s + 373. Let v(k) = 18*h(k) - 2*z(k). What is the derivative of v(q) wrt q?\nAnswer: -2008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1285103 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14385 - 14341. Solve 0 = 218*o - 207*o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -74. Suppose n = -6*s - 262 + 46. Let v = s - -94. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**3\/6 - 3*h**2\/2 - 329*h. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24059 + 24058.999992046. Round u to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -174.99999997. Round k to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5 minus -1159?\nAnswer: 1191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from jmdhddmdjdmd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 4.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210735?\nAnswer: 3, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2. Let b(t) = -7*t**3 - 10*t**2 - 4*t - 3. Let n(l) = b(l) - 6*m(l). Determine n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*d + 2*d + 2*d)*(5 - 2 - 1) - 6*d + 4*d + d)*(0 + 7 + 0).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8978*t**2 - 4452*t**2 - 31 - 13 - 4460*t**2.\nAnswer: 66*t**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/7 + 108*o**3\/7 - 1930*o**2\/7 + 1752*o - 2520 = 0. What is o?\nAnswer: 2, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -966*l + 970*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Let o = y - 3. Sort -4, 2, o in descending order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 + 3*b + 6. What is the remainder when 31 is divided by o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -62464198, -4 in decreasing order.\nAnswer: 5, -1, -4, -62464198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40212.407 + -40277. Let d = 0.893 + s. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -153. Let x = 198 + -129. Let m = 413\/6 - x. Which is the nearest to -1? (a) 0 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2 = b, 4*b - 36*t = -32*t - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4*v**3\/3 - v**2 - 14. Let d be s(2). List the prime factors of 4\/3 - (-296)\/d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 + 172*k\/3 - 1400\/3.\nAnswer: 4*(k - 7)*(k + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3113968 by 194623.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23078329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4575899 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let m(k) = -k**3 - 4*k**2 + 6*k + 3. Let c be m(-5). Let q(d) = 8*d - 9. Let i(j) = c*q(j) + 18*a(j). Let t(x) = -x. Give i(t(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1683 and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 274*l - 1897. Give w(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/7 - 19970*b**4\/7 + 14228611*b**3 + 998460552*b**2\/7 - 2295642060*b\/7 + 1197601200\/7 = 0.\nAnswer: -12, 1, 9990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(2 - 6 + 3) - 2 - 1 + 7)*(0*v + 2*v - 3*v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/426 (c) -0.2 (d) 5 (e) 0.2 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98811?\nAnswer: 3, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4, 0, -14975 in ascending order.\nAnswer: -14975, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**16\/(i**3\/i*i**0\/i))\/(((i**(-3\/10)*i*i)\/(i*i\/(i**(-7)*i)))\/(i**(-8)\/i**7)) assuming i is positive.\nAnswer: i**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 56*d**2 - 15 + 15.\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let h(n) = -21*n - 20. Let g(f) = -7*f - 7. Let t(j) = 11*g(j) - 4*h(j). Give 5*a(c) - t(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 147719294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:03 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -18*h - 77. Solve 16*j + 25 = h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from {l: 9, m: 3, x: 4}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133464007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -31 + -5 + 0 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952222 is divided by 929.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-10)\/165)\/((-248)\/(-682))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 + 7*b - 5. What is the remainder when m(5) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 988, 4035, 7082, 10129?\n\"Answer: 3047*c - 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 + 18 + 6*g - 19 with respect to g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 955318, 955351, 955384, 955417, 955450?\nAnswer: 955483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**(-1)\/c*c)*c)\/c)\/(c**(-6)*c)*(c**(-2\/5))**(-1\/29)*(c**(-1)\/c)**(-8)\/(c**(-1\/4))**(9\/5) assuming c is positive.\nAnswer: c**(13609\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = 5*y - y, 2*y + 23 = 3*r. Let l(x) = 3*x - 1. Let q be l(1). Suppose q*f = 5*f. Which is the nearest to f? (a) y (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 6. Let r(i) = 0 + 1 - 2. Let b(g) = -d(g) - 6*r(g). Let y(p) = 2*p**2. Give y(b(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(0 + 2*b + 0) - 2*b - 2*b - 2*b in the form i*b + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1257?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*r**2 - 90*r**2 - 90*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 20 = 4*j, -2*h - 14*j + 15*j + 10 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7743566.\nAnswer: 2, 3871783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 9*m - 1. Let d be k(2). What is the highest common factor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 78369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 + 8*m + 7. Let r be q(-7). Suppose -4*j + 2164 = p + p, r = p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -537.5 - -963.5. What is the nearest to -1\/4 in -1\/5, 13, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140 or -71760?\nAnswer: -71760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 5. Let n(a) = 13*a + 2 - 15*a - 8 + 0*a. Suppose -5*s - 14 = -4. What is s*n(o) - 3*m(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -8*l + 748. Calculate the remainder when 269 is divided by l.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29893345 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -828 by 17.\nAnswer: -828\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38970*m**5 - 3*m - 2500.\nAnswer: -779400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 - 21*g + 18. Determine c(-10).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7) + (26 - 31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let v(c) = -2*c - 4. Give a(v(i)).\nAnswer: -8*i**2 - 32*i - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 38*c - 36*c - 52 + 25 + 25. Let o(t) = 3*t - 5. Calculate -2*o(k) + 5*p(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 77. Is (1\/h)\/(33\/(-22))*5769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(4\/(-12)*-1). Let b be (-4)\/((-12)\/21) - o. Let c(d) = 2*d + 10. Let m be c(7). What is the highest common divisor of b and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 28\/6)\/(10\/15). Suppose -2*b - 8 = -4*f, 5*f + h*b - b + 12 = 0. What is f rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.26 * 3522.\nAnswer: 4437.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -68*b**2. Let o(u) = 725*u**2 - u. Determine o(d(a)).\nAnswer: 3352400*a**4 + 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m. Let a be v(-2). Does 19 divide (-2380)\/a - (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 16. Determine d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 227*z**5\/20 - 11*z**3\/6 + 10*z**2 - 29*z - 4. Find the second derivative of n(k) wrt k.\nAnswer: 1362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 102*r + 6 - 6 - 127*r.\nAnswer: -229*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + ((-42)\/4)\/(315\/180).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 - 3843*i + 1752*i + 34887*i - 67)*(0*i + i**2 + 0*i) to the form t*i + j + z*i**2 + k*i**3 and give k.\nAnswer: 32796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621760*j**3*p - 8*j**3 + j**2*p - 8*j**2 + 2*j*p - 188*j + 2*p - 11540 wrt j.\nAnswer: -3730560*j*p - 48*j + 2*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3 - 2 - c - 4 + c**2. Let t be b(3). Suppose -t*k + 2 = -4. What is the smallest common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429606477 to the power of 1\/2, to the nearest integer?\nAnswer: 37810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -22*t**2 - t + 407. Let d(f) = 10*f**2 - 204. Let b(x) = 7*d(x) + 3*h(x). Differentiate b(v) with respect to v.\nAnswer: 8*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 273*m**2 + 84*m - 281. What is the thousands digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 11aa9a?\nAnswer: -11aa9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, q: 3, k: 1}. What is prob of picking 3 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvsz when four letters picked without replacement from {z: 7, i: 6, s: 1, v: 1, p: 2}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 1. Let l(f) = -9*f**2 - 33*f - 11. Let j(q) = -l(q) - 6*w(q). Let p be j(-11). Which is the smallest value? (a) p (b) 0 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*b**2 + 310*b**2 - 202*b**2.\nAnswer: -252*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**4 - t**3 - t + 1. Let u(f) = 9*f**2 - 17*f + f**3 + 11*f**2 + 2*f**4 + 5 - 17*f**2 + 6. Let y(m) = -u(m) + 3*x(m). Factor y(j).\nAnswer: (j - 4)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 16}. Give prob of sequence hhnn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:51 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44276495 divided by -8855299?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62 + 33.38. Let w = v - 34.13. What is w rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 18*k - 4. Let p be f(-3). What is the second derivative of 10*x + 0*x - p + 8 - 76*x**2 wrt x?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 10. Let w be ((-12)\/(-16))\/(2\/t). Let o be ((-2)\/w)\/((-52)\/12). Are -1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(48)*1))\/(sqrt(98) + (sqrt(98) - (sqrt(98) - -3*sqrt(98)*3))) + 3 + -2.\nAnswer: -sqrt(3)\/224 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/7 + 502*v**3\/7 - 4794*v**2\/7 - 6310*v\/7 + 10604\/7 = 0 for v.\nAnswer: -2, 1, 11, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y + y + 4 - 6 + 6*y to the form v*y + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 283452 and 135206604?\nAnswer: 135206604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4 + z - 4 + 2*z**2. Let f = -2856 - -2858. Determine c(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/5))\/(v*v**(-3)\/v))\/(v\/(((v**(2\/19)\/v)\/v)\/v)*v*v\/(v**(-2\/7)*v)*v*v) assuming v is positive.\nAnswer: v**(-2248\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 262 = -2*x + 156, 0 = 3*x + 4*a - 629. Does 36 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 7*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 45 = 3*d. Let m(n) = 0 - 1 + d*n**3 + 26*n - 25*n. What is the units digit of m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 + 356 + 356 + 146)*(-10 + 2*s + 0*s - 3*s).\nAnswer: -1099*s - 10990","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*a**3 - 37*a**3 + 86*a**3.\nAnswer: 170*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c + 49. Let y be i(-14). Let l = 268 - y. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzbzzb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(0 - 4 + 6) - 4*f - 2 + 2 + (-548*f - 30740 + 30740)*(-1 + 4 - 1).\nAnswer: -1098*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050218469 rounded to 5 decimal places?\nAnswer: -0.05022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j*j**(-16\/3))\/j)\/j)*j*j**(-11\/4))**(-43) assuming j is positive.\nAnswer: j**(-2881\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (282 - 310 - (-15 - -1) - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.033 - -0.033. Let j = -3.7 - m. Which is the second biggest value? (a) -3 (b) j (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 1385 = 1554 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*((0*i + 0*i - 2*i**2)*(-2*i + 5*i - 4*i) - 54*i**3 + 3*i**3 + 3*i**3) to the form d + s*i + k*i**3 + p*i**2 and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 6971*y**2\/2 - 64013841*y\/4 + 24121346643.\nAnswer: -(y - 5157)**2*(y - 3628)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6791*p - 10213 wrt p.\nAnswer: 6791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95907 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5909*b*d**3*q + 11*b*d - 40*b*q + 376*d**3*q - 6831*q wrt d?\nAnswer: -35454*b*d*q + 2256*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 2*s. Let c be x(2). Let a = 8 - 2. Let f = c + a. Solve r + f = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182576862 a multiple of 3892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsslslslssl. Give prob of picking 1 l and 2 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*n - 145, 2*n - 101 = -3*v - 10. Let u be 2\/(-3) + 153\/v. Which is the nearest to -2? (a) u (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t - 10. Is 13 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.2592 + 18.24. What is n rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 430? (a) 0.1 (b) -1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (663\/(-1105))\/(6\/30*84).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33295601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let c = 4 - g. Let w = 8698 - 8695. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/18 - 55\/(-66). Which is smaller: 2\/3707 or q?\nAnswer: 2\/3707","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p - 16*p - 2*p to the form x*p + u and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let h(x) = x + 1. Let f be h(-1). Let v be 1 + f - (-15 + 2). Calculate the greatest common divisor of w and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3367 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -56. Let h(f) = f**2 + 10*f - 6. Let v be h(-11). Suppose 0*z = -v*z + 45. What is the remainder when t is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387528 and 12114.\nAnswer: 782419032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwffwwwwfwwwwrwr. What is prob of picking 1 w and 1 f?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-444)\/(-10))\/((-2)\/(-10))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(71656\/16)*34736\/1336.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 5. Let z = -38 + 36. What is the remainder when -3*2\/z - (-14 + -2) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 32*g - 58. Let z be y(30). Let m(c) = -2*c**2 - 5*c**2 + 3*c**2 - 7*c**z. Let i(t) = 6*t**2. Calculate i(m(r)).\nAnswer: 726*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 4, m: 2, g: 5}. What is prob of picking 1 m and 1 b?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 7*q**4\/12 + q**3\/6 + 7*q**2\/2 - 3*q. Let t(w) = -3*w**2 - 3. Let n(v) = 13*t(v) + 6*y(v). Find g such that n(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5519 = -2*u, -n + 1868 = 54*u - 59*u. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*x**3 + 2*x**2 + 8539*x + 7840*x - 15603*x wrt x.\nAnswer: -1194*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -38*f. Which is the second smallest value? (a) f (b) 1\/4 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/(-252) - (-44)\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 2 + 243*g + 7*g**3 - g**2 - 75*g - 46*g - 82*g to the form f + x*g + t*g**4 + i*g**2 + d*g**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from too?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 12*t**2 - t - 35. Let z(o) = -4*o**3 - 22*o**2 - 2*o - 64. Let p(v) = 11*j(v) - 6*z(v). Let y = 0 - -1. Determine p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 622 + 30?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35234341 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 71 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**3 + 1\/12*i**4 + 0 + i + 0*i**2. Let j(z) = 4*z. Let n(a) = -a. Let m(c) = 5*j(c) + 16*n(c). Calculate m(s(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 7*t + 10. Let i be y(-8). Suppose 0 = -i*p + 4*p - 6. Solve 3*s - 11 = -5*m, -3*m + 4*s - p = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3\/2, 7\/11, 1\/7, 8?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.9 + -99.9. Sort z, -0.13, 2, -3 in increasing order.\nAnswer: -3, -0.13, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 2*y, 22*s - 27*s - y = -1. Let c be (s - 2)\/((-30)\/(-4) - 8). Let b(x) = 1. Let p(f) = -f**2 - 5. What is c*b(t) + p(t)?\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -76972326\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/10*(-210)\/(-84)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + 20979\/8991.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.80435us in hours?\nAnswer: 0.000000064667875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -13 - 2 - 7) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 52845891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112.762 decades in years?\nAnswer: 51127.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27092, -2\/27, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -1363.5.\nAnswer: 1336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6817 + 2?\nAnswer: -6815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -243 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7*p = 72. Let t(j) = 4*j + 0*j + 8*j**2 - 4 - j**3 - p*j - 7. Let b be t(7). Solve -c + b = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -20*u**4 - 142448*u**3 - 6144036*u**2 + 3794696*u + 2491808 = 0.\nAnswer: -7079, -44, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 246006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12*(-3)\/23. Let t = 293\/4 + -73. What is the third biggest value in w, t, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 2*g + g + (-2*g - 2*g + 6*g)*(2 - 1 + 1) + (0 - 3 + 1)*(-4*g - 7*g + 5*g)*(-2 + 4 + 0).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8493, -7291, -5289, -2487, 1115?\nAnswer: 5517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/5, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/((-5)\/20). Let u be 2\/4 + (-10)\/4. Let o = i - u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28896 (base 11) to base 3\nAnswer: -2002020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 8. Let s = -19 + v. Which is the second biggest value? (a) -4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 1 + 1 - (1 + sqrt(1008) - ((sqrt(14)\/(sqrt(32) + sqrt(2)))**2 - sqrt(7))) - (-2*sqrt(77)*5 + sqrt(77))\/(sqrt(22)\/sqrt(2)*-5 - sqrt(11))*1.\nAnswer: -11*sqrt(7)\/2 + 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let d = -5915 + 17747\/3. What is the closest to a in -3\/2, -4\/9, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/7 - 466252*y\/7 + 333030 = 0 for y.\nAnswer: 5, 233121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 127. Let f = -52 - l. Solve 3*v = -2 - f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382946007 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsizzssszzkkrszsss. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 8, 47, 104, 185, 296, 443, 632?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. Let s(r) = -3*r - 1. Let y be s(1). Put y, d, -5 in increasing order.\nAnswer: -5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20828*f - 20833*f = 5*h - 5, h + h - 31*f + 31 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -17581*z - 9357. Let j(x) = 3517*x + 1872. Let w(i) = -11*j(i) - 2*v(i). Find the first derivative of w(k) wrt k.\nAnswer: -3525","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Suppose 2*h = 4*h + j. Let m be (-18)\/3*2\/6. Is m < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5659*h. Let x(v) = 2*v + 871. What is t(x(o))?\nAnswer: -11318*o - 4928989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 4 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*s + 195 = -76, -s + 90 = l. Let i = l + -89. Sort i, 8, -3.\nAnswer: -3, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/73 in -6.9, -1, 4, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*w + 13 + 12, -5*n + 30 = 5*w. Suppose 5*x = n*x - 6. Let 0 - 1\/4*t**2 - 1\/4*t**4 + 1\/2*t**x + 0*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from iwiiuuiuuiiui?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152066676588227193.9999837 + 152066684047927822. Let d = -7459700285 + h. Let q = d + -343. What is q rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3816 + -3817.18. Which is the biggest value? (a) 16 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2955320, 2955316, 2955312, 2955308, 2955304, 2955300?\nAnswer: 2955296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11f (base 16) to base 8\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 29*b**2 - 147*b - 25. What is t(5)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -29. Let k(z) = 6*z**2 + 2*z + 1. Let w be k(-1). Let f = 1 + w. Solve p - f*p + g = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5696947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44000802 to the power of 1\/2, to the nearest integer?\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 37*o**3\/3 + 16. Let m(k) = -k. Calculate t(m(i)).\nAnswer: 37*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 4.8. Let h = -70 + 69. Which is the smallest value? (a) -3 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/20 - 4\/(-10). Suppose 2*v = -3*s - 4 - 42, -4*s + 8 = f. What is the units digit of v\/(-4) - 6\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o**(-2)*o*o)\/o*o*o)\/o)*o)**(-14)*(o**(-2))**(-27) assuming o is positive.\nAnswer: o**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -28. Let f(r) = r**2 + 59*r + 411. Let g be f(-8). Sort x, g, -5 in ascending order.\nAnswer: -5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.88 - -2.12. What is the second biggest value in n, 4, -5\/3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 6:18 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204971 is divided by 12055?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -507, -5.\nAnswer: -507, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19599 = 8*k - 29041. Suppose 2*y - 2*z - 16 = -2*y, 2*y + 2*z - 2 = 0. Suppose -k = -h - y*h. Round h to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -16*n**2 + n - 2. Let u be b(3). Let x = u - -157. Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 26. Let f be 4\/6*(-6)\/(-4). Let h be -2*f + g\/7. Which is smaller: -0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30128, 60255, 90384, 120515, 150648, 180783, 210920?\n\"Answer: r**2 + 30124*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)\/g)\/g)\/g*g**(-1\/5))\/(g**(2\/7)*g**(-1\/3)) assuming g is positive.\nAnswer: g**(-1063\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:40 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfr when three letters picked without replacement from {b: 1, r: 4, f: 1, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19903 + 8?\nAnswer: -198c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11116700 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/12 + 13*v**3\/6 - 7*v**2. Let f be q(-5). Suppose -f*k - 240 = -4*h, 0 = -k + 6*k. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q + 15. What is l(7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:45 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = 3*t, -t - 6681 = -5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x**2 + 2*x**2. Suppose -3*b - 2*g + 19 = -0*g, -5*b + 3*g = 0. Let p(k) = b*k - 10*k + 5*k. Determine r(p(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1 + 1. Suppose k*b = 4*b - 150. Let g = b + -41. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 2, c: 1, f: 1, w: 1, b: 1}. Give prob of sequence vd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j + 23*j = -18. Suppose 2*g = -4*o + 3504012, -j*o + 6 = -0. Round g to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/5 - 15266*m**3\/5 - 7766322*m**2 - 6578066590*m + 13187222900.\nAnswer: -2*(m - 2)*(m + 2545)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23109 (base 13) to base 8.\nAnswer: 174623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/1*(-34)\/1054)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3 - 7 + 6*j - 2*j**2 - 3*j**2 + 6*j**2. Calculate the remainder when m(-9) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8390643.82 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.07, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0 (c) -114 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42001 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0341 * 789.37\nAnswer: -26.917517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 2*n**2 - 4*n - 7. Let a be y(-2). Let f be a*20344 + (8 - (-3 + 7)). Suppose 2*l - 6*l = -f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11130485*u**3 - 11130470*u**3 + 33391434*u**3 - 11130466*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(9 - 12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 13*u + 9. Let s(i) = -i**3 - 3*i - 2. Calculate 18*s(b) + 4*v(b).\nAnswer: -6*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 155*r. Let h(d) = -1062370*d. Determine h(k(n)).\nAnswer: -164667350*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from okdodddwxk.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.421843nm in kilometers?\nAnswer: 0.000000000009421843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 14156.\nAnswer: -283.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -8, -5, -4 in increasing order.\nAnswer: -27, -8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (0 + 3)) + (56 - (-11 + 29))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 213264 = 51*w. List the prime factors of w.\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1682, 1685, 1688?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -86.\nAnswer: -9.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692274 is divided by 154.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*t + 755669 = -720745. What are the prime factors of t?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2856930214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - g = 39 + 37, -77 = -5*l + 2*g. Let v = l - 13. Solve 0*h + 3*m + 9 = -h, 4*h + 16 = -v*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:52 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 141\/(-48654)*(3 + (1 - 2268)). Let b = 5\/901 - i. Find the common denominator of b and -35\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 15*j**6 - j**4\/2 + 30*j**3 - 129. Find the third derivative of z(h) wrt h.\nAnswer: 5400*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-204)\/(-272)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86380 divided by -43190\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 6*d + 32 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 1954*a. Let i(q) = 5*q. What is o(i(f))?\nAnswer: -25*f**2 + 9770*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m + 2*z - 7*z, -m + 5*z - 10 = 0. Let p(f) = -f**3 - 3*f**2 + 2*f - 4. Let x be p(-4). Solve 4*g - 3*d = -5 - 22, x*g + 37 = m*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - t**3 - 2*t**3 + (3*t - 4*t - 5*t)*((-1 + 2*t + 1)*(0*t + 4*t - 2*t) + 2 - 2 - 2*t**2 - 72*t**2 + 66*t**2 + 140*t**2).\nAnswer: -817*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1540705.9 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-3)\/30). Suppose y*z + 70 = p - 0*p, -2*z = p - 63. List the prime factors of (104\/p)\/(2\/75).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-25 - -8) + 0 + -26 + (4 - 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*n + 14, -5*u + 3*u - 4*n = 14. Let q be (1 + (0 - 0))*-2. Sort u, q, 3.\nAnswer: q, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 6002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/15 - 62*g\/15 - 44\/5.\nAnswer: 2*(g - 33)*(g + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20*p. Let t(m) = -m. Let o(i) = f(i) - 24*t(i). Let u = 18 + -17. Let j be o(u). Solve j*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 55651.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, -3, -34, -1 in descending order.\nAnswer: 29, -1, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 583aa1?\nAnswer: 583aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2112 - 483. Let z = x - 464. Solve z*v - 50*v = -10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3552 and 33300.\nAnswer: 266400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**7\/280 + w**5\/40 + w**3\/6 + 9*w. Let k(c) be the second derivative of d(c). Find v such that k(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40))\/(1*1\/(-3))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1.52.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 22 = 3*x, 3*x + 13*d + 7 = 15*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 2*j + 8*j. Suppose 18 = -10*b + j*b. Solve -4*d + b*d = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/1*594\/4455?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 15. What is the units digit of -5*((-192)\/z + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:43 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -648.27 times 0.5?\nAnswer: -324.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 3. Let a(h) be the first derivative of 8*h**3\/3 + 13*h + 39. Let j(l) = -6*a(l) + 26*i(l). Let o be j(-1). Solve -2*g = 2 + o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2*-2*sqrt(3) - (-2 + (sqrt(3) - sqrt(9)\/sqrt(3)))) + -2*sqrt(75) + 1))**2.\nAnswer: -756*sqrt(3) + 5373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -33716400 to the nearest one hundred thousand.\nAnswer: -33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44286967.\nAnswer: 19, 2330893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225.9 - -238. Let i = -2.1 + m. Let y = -9.9999982 + i. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/3)\/k)**(45\/4))**13)**2)**(-2\/19) assuming k is positive.\nAnswer: k**(780\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5472 = 286*k + 2*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -591 - 5*h**2 - 11*h**2 - 7*h**2 + 4*h**2 + 20*h**2 to c + n*h + g*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274*t**6 - 2*t**4 - 2*t**3 + 11144*t**2?\nAnswer: -32880*t**3 - 48*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 314 - -4?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 1\/((-1)\/(-2)). Let p be (-110)\/(-25) + r\/10. Suppose 4*a + p*h - 8 = 0, -4*h - 14 = -2*a - h. Solve a = 2*m - 0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*a + 64, -5*d - 2*a = 3*a - 110. Let v be -1 + 5*d\/15. Factor -1\/5*c**v - 2*c**2 - 2*c**3 - c**4 - c - 1\/5.\nAnswer: -(c + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 914 and 9530.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 1. Let j be t(-1). Suppose 63 = -11*x + 19. Sort j, -1, x.\nAnswer: x, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaqadqaqdqqddqqqda. What is prob of sequence ud?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54331098 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 9*q**2 - 20*q - 37. Let a be w(-7). Solve 10*r + 40 = -5*x + 5*r, 8 = -a*x + 3*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*a + 179 = -0*a, 3*a = 3*v - 117. Let h = -18 + v. Is h*(2\/1 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 117514, -1 in decreasing order.\nAnswer: 117514, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.006 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 290\/(-10) - (0 - -1). Let b = -10 - y. Calculate the smallest common multiple of b and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -210*a + 714. Give i(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 18*u - 12. Let q be s(-19). Let w = 33 + q. Is 21 - (w + -2 + 2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**3*z**5 - r**3*z**2 + 3*r**2*z - 34*r*z**2 + 2001*z**3 - z**2 wrt z.\nAnswer: -120*r**3*z**2 + 12006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2662) + (sqrt(176)*-2 + sqrt(176))\/sqrt(8))\/((sqrt(8) + sqrt(8) + sqrt(80)\/sqrt(40))\/(sqrt(16)\/(sqrt(8)\/sqrt(2)))).\nAnswer: 42*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let i = -4318.014 + 4322. Let q = y - i. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*l*o*v**2 - 3*l*o*v - l - 4*o*v**2 + 289*o*v + v**2 wrt v.\nAnswer: -74*l*o - 8*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 2)\/(3 + -2). Let a = -2 - d. Let w = -11 + 7. Sort 4, a, w in descending order.\nAnswer: 4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 + 1 = 0. Let d = a + -5. Let m be 0 - 212\/(-8)*d. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18938 + (4 - (-26)\/(-10))\/((-19)\/(-95))?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -157) + -98 + 1 + (5 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 354162 (base 7) to base 10\nAnswer: 63891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -49, -10, 4, -3, 27.\nAnswer: -49, -10, -3, -1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*l - 259788 = -2985*l + 169102 for l.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-40)\/42 - -1). Let h = 0.929 - -0.071. Sort h, y, 3 in decreasing order.\nAnswer: y, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h**2 + 3*h. Let q be a(-5). Suppose -3*k + q = 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 22*g + 25. Let n be p(-23). Let o be -1*2\/n - (-128)\/112. Let s = 33.9 - 32.9. Which is the nearest to s? (a) -4 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0057 + 0.5943. Let o = s - -2.4. Sort 0.3, -0.036, o.\nAnswer: -0.036, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -12001120210?\nAnswer: -12001120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/5 (b) 4\/5 (c) 33 (d) 1\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17. Suppose s = -w - 0 + 2. Suppose 0 = -3*y + w*r - 315 + 874, 746 = 4*y - 2*r. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3282932 and 41\/8?\nAnswer: 6565864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (378 + 75*c - 378)*(2*c + 2*c - 5*c + (3 - 1 + 0)*(2*c - 4*c + c) + 0*c - 4*c + 0*c) to the form t*c + b + s*c**2 and give s.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52991, -52984, -52977, -52970, -52963, -52956?\n\"Answer: 7*c - 52998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1338\/41 + -5393\/164. Put -2\/11, f, 1, 3\/2, 0.3 in decreasing order.\nAnswer: 3\/2, 1, 0.3, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20506 + -20506. Suppose -4*i + 9 = -7. Solve 0 = -2*w + i - d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from ffsxfufffxux.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + 1 - (10777 + -10595)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m - 12*m + 3*j - 223, 5*m + j = 221. What is the least common multiple of m and -2 + (-111)\/(-3) + 1?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 11\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 16. Let b be v(8). Let d = -22 - -25. Let s be 0 + (-1)\/2*0. Solve s = -5*p - d + b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 3*g. Suppose -5*m + 1 + 9 = g. Solve -3*i + m*c = c + 1, 4*i + 4 = 2*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/8)*k*k*k*k**(2\/9))\/(k**(2\/7))**17)**(-8) assuming k is positive.\nAnswer: k**(887\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2 - -2) + -1. Let l be ((-3)\/(-2))\/((-7)\/((-784)\/12)). Let j be (o*-1)\/(7\/l). Which is smaller: j or -8\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and -2\/1815.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21685 - 2*q**4 + 136*q - 21685 + 22*q**3 wrt q.\nAnswer: -24*q**2 + 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 57*k**2 + 140*k + 1285. What is r(-59)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8379.586l in millilitres?\nAnswer: 8379586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 - 558*q**2 + 335*q - 300. Calculate o(111).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u + 9. Let q be f(7). Suppose -w = -q*w + 7. Is 11 a factor of (2\/3)\/(w\/294)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3009 divide 59483886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r**4 + r - 13*r**3 - 5*r**3 + 21*r**4 - 5*r**2 - 44*r**4 in the form j*r**4 + l*r + i + k*r**2 + u*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -173. Suppose s = -i*y + 31, -43 - 6 = -s + 4*y. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2576056 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38377717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -3 (c) 8\/7 (d) 4 (e) -6\/11033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.3198?\nAnswer: 4.6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -186, 3 in decreasing order.\nAnswer: 3, 1, -2, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*q**3 - 22 + 27 + 14 wrt q?\nAnswer: -111*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180 + 176)*(42\/(-15))\/(24\/75)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -735970 or -735969?\nAnswer: -735970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/60 + 3*d**2. Let h(j) = -7*j. Let k(t) = 3*t. Let v(c) = -2*h(c) - 5*k(c). Give a(v(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65603, -65602, -65601, -65600, -65599, -65598?\n\"Answer: b - 65604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1 (c) 2\/203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -2.5?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46 and 32\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:26 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.9974 + 33. What is i rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2*j**2 - 2*j + 1. Let o be u(1). Suppose 5*z - 170 = 5*f, -z - 2*f = o*f - 14. Let x = z + -21. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i)*(-3*i + 5*i - 5*i**2 - i**2).\nAnswer: 6*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -51*l**3 + 26*l - 11. Determine h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-15)\/(-25))*65. Suppose -2*j + 7 = -1. Suppose -l - 28 = -2*v - j*z, -5*z = -15. What is the greatest common divisor of v and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 5*h - 6. Let y = -486 - -481. Determine d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 57*m + 571, -20*m + 24 = 4*c - 22*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p**2 + 41*p - 161. Calculate z(5).\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/5)\/(9\/30). Let d = i + -8. Calculate the greatest common factor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -19\/6625?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5060250*p**2 + 187*p - 5059883*p**2 - 1328*p wrt p.\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 4*b**2. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/105 + s**3\/3 - 3*s**2\/2 - 3*s. Let r(d) be the first derivative of j(d). Differentiate r(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f + 12?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/1)\/4)\/((-12)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 14. Let u = -270 - -263. Give k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 9*p - 11. Let v be w(-5). Find the first derivative of -14 - 15 + 11*o - v*o wrt o.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161 (base 14) in base 9?\nAnswer: 24865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20880, -20874, -20868?\nAnswer: -20862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1629 divided by 9.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 - 11844*w**3 - 23544*w**2 + 804880*w - 1420800 = 0.\nAnswer: -5920, -10, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121047, -242129, -363243, -484389, -605567?\nAnswer: -726777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 8 - 4*u**2 - 45.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051423 (base 6) in base 10?\nAnswer: 146823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99780 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 + 9*q - 10. What is the units digit of k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-75))\/(16\/100).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**3 + 102*x**2 + 324*x + 168 = 0. What is x?\nAnswer: -2, -2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3049 or -3051?\nAnswer: -3051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:55 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 84?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 + 35?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1992*k + 3985*k - 1998*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16394280*r**2. Let x(l) = -2*l**2. Give n(x(v)).\nAnswer: 65577120*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-636)\/(-585) - ((-364)\/35 + 10). Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**4 + 0*k**3 - 1\/60*k**5 - 8*k**2 + 0*k + 0 - 1\/40*k**6. Find the third derivative of h(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - (-9)\/(-3). Let h be 6 + -3 + -48 + x. Does 12 divide h\/(-4) - (-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 1472.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 + -327\/2. Sort 46, x, -3.\nAnswer: -3, x, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.29752 greater than or equal to -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**5 - i**3 - i**2 + i - 1. Let k(b) = b**5 - 2*b**3 - 2*b**2 + 9*b - 2. Let q(d) = k(d) - 2*o(d). What is the second derivative of q(v) wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 42845?\nAnswer: 428450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*z = -18, -v + 1 - 12 = -4*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190822396*w**2 + 3418744*w - 145?\nAnswer: 381644792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22444, -44795, -67146, -89497?\nAnswer: -111848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*o**2 - o**3 - 100*o**2 - 105*o**2 + 12*o**4 + 3 to the form u + q*o**2 + a*o + d*o**3 + z*o**4 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*w + 3*w = -493, 377 = 3*v + 5*w. Let t = 560 + -336. Let d = t - v. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590501744?\nAnswer: 2, 7, 753191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*c - 0 + 10, 3*c + 20 = 4*i. Suppose j = -h + 2*h + 27, c = h + 1. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412144210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 122. Suppose h - s = 5*r, 5*h - 210 = 7*r - 2*r. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 2. Let p be i(-5). Let d = 3 - p. Let a be (4\/d)\/((-2)\/(-10)). Which is bigger: a or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 44 - 80 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:45 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -162, -260, -358, -456, -554?\n\"Answer: -98*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/42 - 101\/210. Which is the third biggest value? (a) 0 (b) u (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 12434434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 28955*b**2\/6 + 316327*b - 10414833\/2.\nAnswer: (b - 33)**2*(4*b - 28691)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2768867572.\nAnswer: 2, 47, 269, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 2, 5185?\nAnswer: 5185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 9*s + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - (-42)\/12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -495 and -14546?\nAnswer: 7200270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -153*m**2 + 1 + 154*m**2 - 14*m + 50. Let c be s(4). Let y(l) = l**2 - 12*l - 9. Determine y(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*r**2 - 3*r**2 + 53*r + 741 + 792 + 18*r**2 + 284 wrt r?\nAnswer: 44*r + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 6. Let v be h(3). Solve v*g - 2*g = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8964 - 10329 = 91*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 347 + -706. Let c = 3955\/11 + d. Suppose 0*h - c*h**2 + 2\/11*h**3 + 8\/11 = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 2\/3 (c) -0.161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5636474?\nAnswer: 2, 2818237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 11*f - 14. Let u be o(9). Is (5 - u)\/(-1)*-877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 + -16.\nAnswer: -16.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194441219*c**3 + 19*c**2 - 4*c - 25964?\nAnswer: 1166647314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b - 6. Let t be f(7). Let d(a) = 19*a - t*a - 2*a - 3*a**2. Let o(h) = -4*h**2 + 13*h. Calculate -7*d(r) + 5*o(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30221 (base 4) in base 12?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, 4, -207.\nAnswer: -207, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -64, -71, -82, -97?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 122565?\nAnswer: 122563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 168*r + 845. What is f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.759 (b) -2\/3 (c) 5 (d) -1 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*c - 81 = 0, 15 = -3*t + 4*c + 76. Let m = 8 - 12. What is the units digit of (4\/m - -2)*t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 312\/(-8)*(-9)\/(-30) and 61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2034 - -2033.5. Which is the nearest to 3? (a) 4 (b) n (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23606.74 litres in millilitres?\nAnswer: 23606740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*f + 3 - 13, 4*z = -5*f + 11. Suppose f*w - 22 + 1 = 0. What is the remainder when 27 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5232488 to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961000216 a multiple of 1994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 57*o**2 - 4. Let m(h) = 311 - 150 + 0*h**2 - 161 - 2*h**2. What is m(y(d))?\nAnswer: -6498*d**4 + 912*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 9*d = -324. What is the common denominator of 84\/d*2*6\/(-4) and 49\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 6*m - 3*m)*(-4 - 1 + 3)*(-1 + 1 - 1)*(5 - 2 - 1).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1235 and 9748843?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1298 + 1295. Put 25, 5, 3, b, -2 in ascending order.\nAnswer: b, -2, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2437, 4876, 7315, 9754?\n\"Answer: 2439*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 24*o - 288. Suppose 5*p = 7 + 8. Let l be ((-2)\/(-3))\/(p\/54). What is the highest common factor of o and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**16*k**(3\/7)*(k\/k**(1\/7))**(-7) assuming k is positive.\nAnswer: k**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773.169 rounded to the nearest integer?\nAnswer: 4773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2. Let j(z) = 2*z**2 - 1852*z - 2. What is j(d(i))?\nAnswer: 18*i**4 - 5556*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(12) + 0 + (sqrt(300) + 0)**2.\nAnswer: -24*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30525427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0)\/c*c)\/c*c**1*(c\/(c\/((c*c\/c**(-2))\/c)))**(-1\/11) assuming c is positive.\nAnswer: c**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16662, 66647, 149954, 266583, 416534, 599807?\nAnswer: 816402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*y = 12, 4*x - 2*y + 3*y = 22. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1340*v + 96470. What is n(72)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 33*s**5\/5 - 23*s**2\/2 + 2*s + 5. Find the second derivative of k(m) wrt m.\nAnswer: 396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 8, 8, 10, 14, 20, 28?\n\"Answer: w**2 - 5*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 4, 24*k - 2 = -j + 25*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g = 12. Suppose 0 = 5*f + 2*r + g*r - 50, -40 = -4*f - 5*r. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 237\/3233 or 0?\nAnswer: 237\/3233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 + a**3 + 2. Let p be d(2). Let k = 10 - p. Solve 3*l = k*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43117000 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlxtll. Give prob of picking 3 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -0*l - 126. Let s(z) = z**3 - 20*z**2 - 17*z + 13. Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3 - ((-12)\/4 - 0). Let o(c) = 3*c + 26. Let x be o(n). Suppose -f = -4*b + 385, 2*b - 250 + x = -4*f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7717 minus -0.2?\nAnswer: -7716.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*y + 27, -3*t + 8*t = 0. Suppose -y*h = -12*h + 39. Let b = h - -29. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 675521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - (-2 + 3 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bybiiiibbbibibiiiiii?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 17*v**3 - v**2 + 2*v - 1. Let o be h(1). Let q = -2 + o. What is the remainder when q is divided by (2 - (-48)\/8)\/((-4)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 894, 2\/7, -75, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9073*s**3 + s**2 - 14*s + 720 wrt s.\nAnswer: -54438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 + -2203\/7. Which is the third smallest value? (a) m (b) 3 (c) -3\/11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6040, 14214, 22412, 30634, 38880?\nAnswer: 47150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 101. Let l be -4*o\/(-12) + 0. Let c be (31\/5)\/(l*(-2)\/(-50)). Calculate the greatest common factor of 62 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-108)\/(-265680)*10\/24?\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -4. Let f be 4\/2 + (-6 - q). Solve -f = -0*d + 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.28 + -9.28. Sort -32, -0.2, z in increasing order.\nAnswer: -32, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 14*z + 29. Let u be k(-15). Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 302*m**3 + 8*m**2 + 37*m - 17. Is o(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 480 = -17*c. List the prime factors of (c\/12)\/10*-252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3603 - -3681. Solve -f*i + 96*i = 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4169 is divided by 248?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3260 - -57601. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -64*y**2 - 560*y + 147. Calculate p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 + 35. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4209\/2 - 399891\/190. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*w + 2*w + 38, 4*w = -3*j + 44. What is the lowest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/10644620 and 23\/3193386.\nAnswer: 31933860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 8*b = -18. Suppose 5*k + 3*p = 9, -2*k + 0 = 3*p - b. Solve 2*g + x = 3, 2*g - 4*x - 19 + 1 = k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*z, 3*u - z - 46 = -0*u. Let n be (-3)\/u + 41\/5. List the prime factors of (-2 - (-4)\/n)*(-452)\/6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 98\/34 + (-32)\/17. What is the remainder when (-2 - -47)\/((-3)\/g) is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13*n + 24 = 0. Sort -3, 4, n, 5 in ascending order.\nAnswer: -3, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - -11 - -4*(-1)\/(-2). What is the tens digit of -742*(w + -8 - (-6)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.224*-1161\nAnswer: 37412.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-847)\/(-49) - 10\/35. Solve 2*k + 6 = -5*j + 2, j + s = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -529 (base 12) to base 2.\nAnswer: -1011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21534780 a multiple of 3271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41191883 to the nearest integer?\nAnswer: 6418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -842 by -421.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1. Let m(u) = -415*u + 2. Give -m(q) - 2*n(q).\nAnswer: 415*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91681*g + 73900 wrt g.\nAnswer: -91681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*k - k = -5336, 3*u - 5*k - 5330 = 0. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/4 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose 5*u = -c + 32, 19 = 4*u - n*u + 3*c. What is the greatest common divisor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103064 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 235 = -65. Let l = u - -136. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1284381, 1284361, 1284341, 1284321, 1284301, 1284281?\nAnswer: 1284261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10*u**3 + u**2 + 3*u - 4. Does 83 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.0285?\nAnswer: -0.0715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12866 + 3?\nAnswer: -12863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2 + 154*m - 714.\nAnswer: -4*m + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 347*k**6\/6 + 595*k**2\/2 - 289. Find the second derivative of h(o) wrt o.\nAnswer: 6940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21001 + -1?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.46032 millennia in decades?\nAnswer: 4246.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*d + 63. Suppose -13*f + 7 = -12*f + 4*c, d = 3*f + c. Solve -f*s = -5 + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 91. Let n be l(0). Suppose t + 29 = 3*t - 3*p, 5*p = -4*t + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * -528.\nAnswer: 116.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.3113021 to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113164453 + 0?\nAnswer: -113164453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/10 + (-3)\/(-5). Solve -m*a + 9 = -6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycecycccygceggce. Give prob of sequence yyeg.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 156, 1, 5 in descending order.\nAnswer: 156, 17, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 11092059?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 7247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 581.3299 - 580.9. Round g to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*q - 740, 2*b - 3*q = -63 - 312. Let n = 206 + b. What is the greatest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-24)*s))\/s**(-9\/8) assuming s is positive.\nAnswer: s**(193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -71844.31?\nAnswer: -35922.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 41*k**2 + k - 34. Let i(y) = 19*y**2 + y - 16. Let q(u) = 13*i(u) - 6*l(u). What is q(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 4, 6 in increasing order.\nAnswer: -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, r: 1, h: 1, o: 4}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 947\nAnswer: 7\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206291*w + 86318?\nAnswer: -206291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -18 - 600*o + 598*o + 42 - 24. Let v(k) = 414*k**2 + 345*k - 345. Let p(j) = j**2 + j - 1. Let g(m) = 345*p(m) - v(m). Give l(g(a)).\nAnswer: 138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*a - 32 = 14, -4*a = -3*w - 38. Let t(g) = -g**3 - 11*g**2 - 10*g + 3. Let m be t(w). Solve h = 3*x + 2, 13 + 9 = -4*h - m*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**5 - 4*t**5 - 4*t**5 + 6*t**5 - 2*t**5 - 7*t**5 - 3*t**5 + t**5 + 0*t**5 + (-3 - t**4 + 3)*(t + 0 + 0).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*l - 2, -10 = -16*x + 11*x + 5*l. Let d(a) = -3*a - 78*a**2 - 66*a**x + 1 + 145*a**2 + a. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45406, -90866, -136312, -181738, -227138?\nAnswer: -272506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - r**2 - 28.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, -1.78, 4\/9 in decreasing order.\nAnswer: 2, 2\/3, 4\/9, -1.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -11. Let h(u) = -8*u**3 + 1 - u**2 - 193*u + 189*u + 3 + 5*u**2. Let p(k) = -15*k**3 + 7*k**2 - 7*k + 7. Determine w*h(a) - 4*p(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1980 and -97\/360.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 - 4)*(3 - 2 + 1)*(-1 - 2 + 1)*(-127 - 231 - 113) + 2 - 2 + 5*n.\nAnswer: 1889*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - x - 9, -2*x + 0 = -2*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.09 - 4.09. Which is the closest to -1\/5? (a) v (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25619.\nAnswer: 11, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 313\/12 + 6\/(-72). Let p = 0 + 1. Let f = 64 + p. What is the greatest common factor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 819?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 26. Suppose l - 2*n - 90 = 0, -n - 9 = -5. What is the remainder when l is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11) - sqrt(275))*1)**2 - (sqrt(11)*2*1 + (sqrt(539) + -2)**2).\nAnswer: 26*sqrt(11) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnmm when four letters picked without replacement from {d: 6, m: 2, n: 1, g: 3, c: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 + 1088*z**3 - 887808*z**2.\nAnswer: -z**2*(z - 1632)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, l: 6}. What is prob of sequence llll?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1145 or 5732\/5?\nAnswer: 5732\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:01 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11648 and 7348159.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7*o - 16 = 2*o, 5*g - 2*o = -28. Is (g + 3 + 0)*(-1 + -990) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2596\/10)\/((-1)\/20*-4). Suppose 798 = 3*o - 4*m, -p = -5*o + 2*m - 6*m. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -142, -412, -906, -1690?\n\"Answer: -11*p**3 - 13*p**2 + 4*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -4 + 18 + -38 + -10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-1)\/(-30) - 122\/(-15). Let d be (4\/8)\/(2\/u). Calculate the common denominator of 20\/21 and 7\/252*7 - (-1)\/d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3667 times -2?\nAnswer: 7334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17589203*y**3 + 122*y - 147787 wrt y?\nAnswer: -105535218*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:02 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/114 - -35\/19. Let b = 487\/3 + -162. Put n, -1\/5, -2, b in ascending order.\nAnswer: -2, -1\/5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4380 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 2778671.\nAnswer: 7, 396953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1846 (base 10) to base 16.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40201?\nAnswer: 7, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from eoetneekesokeoeette.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 343\/8 (b) -1 (c) -3\/2 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 10 - 4*k + 8*k. Let w be n(-5). Factor 0*s + 0*s**2 + w + 4\/3*s**3 - 2*s**4.\nAnswer: -2*s**3*(3*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 6*p + 2. Let g be i(6). Suppose -4*n = g*z - 3*n + 1, -5*n - 18 = -3*z. Solve 0 = 5*o - 4*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 7*n + 17. Let g(p) = 4*p**2 - 4*p**2 + 8*p**2. Calculate the remainder when g(2) is divided by m(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.021?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 3*j + 630 = j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1525.6 - -1524.2106. Round o to two dps.\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113*-1.9.\nAnswer: 214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -127939.277.\nAnswer: -127936.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000806 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 16*a**2 - 52*a - 28. Let n be v(-5). Let w be (-194)\/8 - (-1)\/4. Let h = w + n. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h + 4*k, 5*h = 3*k + k + 24. Let t = -13 - -9. Let r(n) = -2*n - 5. Let u be r(t). Solve u*s = h*v + 4, -3*v + s = -s + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 231 or 229?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l. Let u be o(5). Suppose -b = -2*a - 12, 4*b - 2*b - 2*a - 24 = u. Let s = -69042 + 69050. Calculate the remainder when b is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 9*j - 3. Let x be y(-6). Suppose 0*p = 5*w + 4*p + 15, -3*p - x = 0. Let z(n) = -1 - n + w. Let d(m) = 2*m. Calculate z(d(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.02, 3\/13 in increasing order.\nAnswer: 0.02, 3\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*l - 311, 0 = -4*l - 5 + 1. Let v(d) = -d**3 - 6*d**2 - 24*d - 215. Let o be v(-7). Suppose o = m, -a + t = -0*a + 3*m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68332973.\nAnswer: 68332973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39*17\/(-884))\/((-30)\/4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 1318, 4765, 11522, 22693, 39382, 62693, 93730?\nAnswer: 133597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12539 - -12538. Suppose 0 = 3*i, -s - 3 - 8 = i. Is s greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 156 = 2*k, -6*k - 3*u = -2*k - 292. Calculate the remainder when k is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35646 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 - o - 2. Let y(n) = 59*n**3 - 6*n**2 - 6*n - 750. Let d(x) = 6*q(x) - y(x). Find the first derivative of d(c) wrt c.\nAnswer: -159*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8416 to two dps.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2829386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g + 212 + 118 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3252 is divided by 326?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 9*i**2 + 2*i + 22. Let y be q(-9). Let b(o) be the first derivative of 0*o + 0*o**2 + 6 - 1\/8*o**y + 1\/20*o**5 + 1\/12*o**3. Factor b(c).\nAnswer: c**2*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10223, -20395, -30567, -40739, -50911?\nAnswer: -61083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u - 286. Let i(d) = -2*d**2. Give i(n(x)).\nAnswer: -338*x**2 - 14872*x - 163592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6350439 is divided by 4900?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/107 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/7 - 2384602*g\/7 = 0.\nAnswer: 0, 1192301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/(-66))\/(2\/(-10)). Sort 0, -23, c in ascending order.\nAnswer: -23, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 38. Let m be x(18). Suppose -6*g - m = -14. Which is smaller: 3\/2 or g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 - -85. Let a = 783 - w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 8\/3*h**3 + 7\/2*h**2 + 5 + 1\/4*h**4 - 6*h. What are the prime factors of r(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0 + 3*x**4 - 6*x - 3\/2*x**3 + 1\/2*x**5 - 10*x**2 = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3621827?\nAnswer: 11, 329257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 6. Let h be k(4). Let u(g) = 10*g - 1. Let a(c) = -21*c + 2. Let t(i) = 6*a(i) + 13*u(i). Let d be t(h). Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14*a**2. Let j(s) be the second derivative of s**4\/12 + 11*s**2 + 17*s. Let m(f) be the first derivative of j(f). Determine t(m(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4 + 2*t**3 - 18*t**2 + 22*t - 8 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1625 = 5*i + 5*m, -5*i + 3*i = -4*m - 632. Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzyyyz. Give prob of picking 4 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*z - 6998 + 446 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*z - 443*z - 467*z.\nAnswer: -275*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-2)*-2 - -68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 - r**2 + r. Let v(m) = 7*m**3 - 2*m**2 + 3*m. Let c(j) = -2*v(j) + 5*x(j). Let w(o) = 2*o**2 + 2*o + 1. What is 2*c(g) + w(g)?\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1679 + 1679 + 341954*w**2.\nAnswer: 341954*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/27)\/m*m)\/(m*((m\/m**(-6))\/m)\/m*m*m*m))**44\/(m**(-3)\/(m**(-3\/5)\/m)*(m*m*m\/m**(-2\/3))**(-5\/3)) assuming m is positive.\nAnswer: m**(-52006\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = -4*z. Let x be ((-10)\/(-35))\/(2\/14). Let k(v) = -v + 0*v + 1 + 0 - x. Calculate k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 958 and 332321578.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -119*h**6\/120 + h**5\/20 - h**4\/24 - 403*h**3\/2 - 124*h**2 + 3. Find the second derivative of w(y) wrt y.\nAnswer: -714*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638090 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/5 - 6468*m**3\/5 - 51552*m**2\/5 - 102976*m\/5.\nAnswer: -4*m*(m + 4)**2*(m + 1609)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215.9864 + 216. Let k = -0.4864 - w. Which is the nearest to 1? (a) k (b) 156 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 69.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/15 - 44*g**3\/15 - 78*g**2\/5 - 24*g = 0. What is g?\nAnswer: -15, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83166403919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031314 (base 5) to base 3.\nAnswer: 2111011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**3*m**2*y + 31*d**3*m*y + 2*d**3*y - 392*d**2*m**2 - 3*m**2*y wrt d?\nAnswer: 42*m**2*y + 186*m*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*((-3)\/(-6))\/((582\/2716)\/(3\/(-7)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51213*w**2 - 51214*w**2 + 102440*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 7, c: 1}. What is prob of sequence oocm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 + 36*u + 365 - 411*u - 103*u**2 - 77*u - 365 wrt u?\nAnswer: 40*u**3 - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2606.806 millennia to years.\nAnswer: 2606806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 + 3*a + 2. Let s(p) = p**2 - p - 1. Let y(d) = -r(d) - 2*s(d). Let f(c) = -5*c**3 + 6*c**2 - 6*c + 2. Determine -f(u) + 6*y(u).\nAnswer: -u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/132 and 13\/594.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 850165286843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 146 = -5*x, 2*z - 28 = 5*x - 132. Suppose 3*o - 4*u - u = 2, -o = u + 2. Let r = o - z. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -23. Find the common denominator of 26\/(-4)*7\/y and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -6*b - 360. What is the common denominator of ((-2)\/b)\/((-3)\/67) and -55\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88296 - 19164 = -995*u for u.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -114 (c) 1\/6 (d) -0.3 (e) 2\/5 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54928134*k - 44161942.\nAnswer: -54928134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 19736000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*f + 29*f + 114*f - 5661. Solve 16*r = -r - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 - 5*x - 4. Let u be w(-3). Suppose u = -3*d + 11. What is the remainder when 6 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4 + 5*g**2 - 4*g**2 - 5*g + g**3 + g**2. Let h be l(-3). What is the third derivative of -13 + 6*o**h + 3*o**3 - 2*o**2 + 13 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014406953 to 5 decimal places.\nAnswer: 0.01441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.67 + 0.33. Suppose 2*s - 3*p = -0*s - 11, 0 = 3*s - 2*p + 9. Let t be 2\/(2\/s)*1. What is the nearest to t in 5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 17. Let n(b) = 2*b - 8. Let j(r) = 3*i(r) - 7*n(r). Suppose 0 = 2*q + 2, -15 + 91 = -5*k - q. Let y = -10 - k. What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18139 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 + 7089545.\nAnswer: 7089544.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -y - 4*d, 0*y - 36 = 4*y + 4*d. Let u(x) = 2*x - 1. Let z(b) = -4*b + 1. Let j(f) = -7*u(f) - 3*z(f). Is 12 a factor of j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 9*q - 357. Let y = q - -165. What is the remainder when 365 is divided by y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10 + 10. Suppose -175 = -z*l - l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Let l = -1643 - -1640. Sort 8, l, 4, c.\nAnswer: l, c, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 141*i**8\/14 - 737*i**4\/12 + 264*i. Find the third derivative of o(p) wrt p.\nAnswer: 67680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1905\/60*(-118)\/(-6). Let m = g + -631. What is the common denominator of -113\/6 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa (base 12) to base 6.\nAnswer: -2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -104. Calculate the greatest common factor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 12 = 2*w. Let d = -4 - -6. Let f(y) = y**3 - 4*y + y**d - 2 + 1 + y**2. What is f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d**3*d))*d*d)\/d**(-1))\/((d*(d**(-1\/4)*d)\/d)\/d**8))**(4\/39) assuming d is positive.\nAnswer: d**(61\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.559 less than 2?\nAnswer: -162.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 - 164*x + 4*x**2 + 162*x. Let k(j) = -j. Determine k(c(u)).\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 4, l: 2, t: 1, y: 2}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-16)*2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2761 (base 9) to base 4.\nAnswer: -200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/20)\/(2\/(-8)). Let a(d) = -3*d - g - 4 + 4*d - 1. Let h(w) = 26*w**2 - 260*w - 5. Let v be h(10). Determine a(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:04 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 1018*i\/3 - 37476.\nAnswer: -2*(i - 347)*(i - 162)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4)\/j*j*j**(-2\/31))\/(j**(-1\/10)\/j**(-5\/7)))**(1\/22) assuming j is positive.\nAnswer: j**(309\/95480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7*a. Let w be a - ((-32)\/4 + 3). Let l be -6*1\/5*w. Is -5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1914 divided by -33\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2942 + -2943. What is the closest to u in 0, 0.1, 2\/19, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188*p + 1057*p - p**2 - 377*p.\nAnswer: -p**2 + 1868*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (12 + -26 - (-10 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1414, -7268, -13122, -18976, -24830, -30684?\nAnswer: -36538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = 5*c - 41, -13 = -c + 2*d. Suppose 2*g + x - c*x + 2 = 0, -10 = -2*g - 2*x. Solve -g = -0*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3083, 5974, 8865?\nAnswer: 11756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 32 = 117 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 28520 = -55*h. Calculate the smallest common multiple of h and 161.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210244414 (base 6) to base 12.\nAnswer: -128670a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = -7, 5*j - 155 = -5*d. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*f - 2 + (-1 + 4 + 7)*(f + 0*f + f) + 14 - 14 + 4*f + (0 + 4 - 3)*(0*f - 3*f + f).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -26*p**3 + 9*p**2 + 208*p + 6. Let k(u) = -6*u**3 + 2*u**2 + 52*u + 1. Calculate 9*k(o) - 2*y(o).\nAnswer: -2*o**3 + 52*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20577760 not equal to 20577744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -466\/7335 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b3 - -13?\nAnswer: 4c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(1071\/18)*(-28)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 1. Let r(q) = 3*q**2 + q + 5. Let o(h) = 4*l(h) - r(h). Suppose -c - n = 0, 2*c - 5*n = -3 - 4. What is the units digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(162)\/sqrt(6) - -3*sqrt(2700))\/(((sqrt(45) - (sqrt(45) - sqrt(90)\/sqrt(2)))*5)\/(sqrt(80)*1)).\nAnswer: 144*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 2*v + 2. Let a be g(-1). Solve a*w - 6 = -6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let j = 475 + -416. Is f equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 40. Suppose -u*i + 80 = -20*i. Let o = -10 - i. Calculate the greatest common factor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 6. Suppose 3*k = 2*k - 2. Let x(o) be the second derivative of o**3\/6 + o**2\/2 - 109*o. Determine k*u(c) - 10*x(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475644 and 20.\nAnswer: 2378220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(704)) + 5 + 5*(sqrt(11) + (sqrt(66)\/sqrt(24))**2) + -4.\nAnswer: -35*sqrt(11) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 u when four letters picked without replacement from bbbuubbb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0 + 8 + 4*j**2 - 3*j**2. Let a be w(0). Solve 3*p = 4*n + a, -5*n + 2*n = 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(228)*3)\/(sqrt(132)\/(sqrt(77)\/sqrt(7))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10237*m**3 - 5*m**2 - 495*m + 995. Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5260 and 1315?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 + r**3 - 5*r**2\/2 - 4*r + 1. Suppose 0 = 3*l + 2 + 1, 0 = 3*f + 3*l + 15. Let v = f + 0. Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779452939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 34. Solve -3*l = -q + 4, 7*l = 3*l - 4*q - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (1 - 8)*1) + -1. Suppose -340 = -q*i + 3*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 776 and 5626.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-2)*(16\/4 + 54). Suppose -3*k - f = 2*k. Let a = k + 95. Calculate the lowest common multiple of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7691*f + 3408*f + f**3 + 4154*f.\nAnswer: f**3 - 129*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 11, n: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s - 1. Let t(m) = -1 + 3 - 5 + 5 + 1 - 3*m - m**3. Calculate -6*q(x) - 2*t(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-14 - (0 - 5) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95419549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 55*u**2 + 280*u + 300.\nAnswer: -5*(u - 15)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9254827 is divided by 3084939?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -316 (base 11) to base 7\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/3 - 2. Let i = -2 + 3. Suppose -r + 3 = 2*y, 3*y - i = 2*r - 0*y. Which is the third biggest value? (a) 2 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 61*n**2\/5 + 58*n\/5 - 24.\nAnswer: (n - 1)*(n + 2)*(n + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 1 + 1 + (23*x - 11*x - 9*x - 6*x**2)*(-11*x + 79 - 79) to the form b + w*x + o*x**3 + s*x**2 and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y + 0 + 0*y**3 + 1\/60*y**5 + y**2 - 1\/4*y**4. What is the second derivative of m(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 770, 3049, 6838, 12131, 18922, 27205?\n\"Answer: -g**3 + 761*g**2 + 3*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3 - 7 - 7 + d**2. List the prime factors of z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-1 + sqrt(1584)))**2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*o + 7*o**4 - 79*o + 8 wrt o?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + 15 + (-44 - 16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 + 3*k - 1. Let j be s(2). Suppose 1040*r + 1006*r = 2108*r + 186. Put j, r, -12 in descending order.\nAnswer: j, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(112) - sqrt(70)\/(sqrt(10) + sqrt(20)\/sqrt(2)))*-2)**2*5.\nAnswer: -1260*sqrt(7) + 15615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -7. Let r(t) = 14*t**2 + 32*t - 14. Let x(k) = -5*k**2 - 11*k + 5. Let p(l) = -4*r(l) - 11*x(l). Is p(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*i - 66, 4*i + 4*c = 2*i + 32. Let j be -3*(-8)\/i*-1. Sort -4, j, 3 in ascending order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 121*t**2 - 24*t + 21. Let d(i) = i**2 - 4*i + 4. What is 6*d(l) - z(l)?\nAnswer: -115*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/30)\/((-9352)\/(-6012))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, d: 1}. Give prob of sequence xx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33928 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 51*i + 105*i)*(16 + 3 - 3).\nAnswer: 768*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - (-3 + sqrt(13) + -1 + sqrt(13) - sqrt(13))**2) - ((-5*sqrt(91)*3)\/sqrt(7))**2.\nAnswer: -2896 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+73749.48\nAnswer: 73750.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 9*s**2 + 8*s + 22. Let d be q(10). Solve j + 4*c + 1 = -2*j, c - 6 = -d*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s - 1. Let d be o(1). Let r(u) = -u**3 + 6*u**2 + 2*u - 5. Let b be r(d). Suppose 0 = -b*c + 2*c + 45. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1479973948 and 67\/8?\nAnswer: 2959947896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 0.1, 0.5, 1\/7, 642, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-326 - -320)\/(2\/(-80)*3) and 98?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 130?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72391 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 2*p**3 + 59942890*p + 70 - 59942890*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/7)*o)\/(o\/(o*o**(-2\/9))) assuming o is positive.\nAnswer: o**(121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25777 (base 8) to base 16.\nAnswer: 2bff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 0.3987311848477\nAnswer: 30.3987311848477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1045 - 850. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365 and 803.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -567 - 42. Find the third derivative of 1 + 18*j**2 - 1 + q*j**5 - 93*j**5 wrt j.\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 48*f + 42. Let s = -349 + 324. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11255968, -11255969, -11255992, -11256055, -11256176?\nAnswer: -11256373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 + p**2 - 4*p**2)*(4 + 0 - 3).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(98) + 1)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 18\/5 (c) 2\/7 (d) -25921\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308063929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9203*r**3 - 9238*r**3 - 9183*r**3 - 9125*r**3 + 36955*r**3.\nAnswer: 206*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*a + 2, a - 3*i = -1 - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 399, -24, 1, 3, -12 in descending order.\nAnswer: 399, 3, 1, -6, -12, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine fifths of a decade?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-40)*-2)\/((6\/(-6))\/46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012120 (base 4) in base 13?\nAnswer: -2086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 70.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -303*n + 299*n + 6*r - 2, -11 = -2*n - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (938\/(-7035))\/((-5)\/25)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 62 + 0)*(11*g**3 + 8*g**3 - 5*g**3).\nAnswer: -1218*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638815012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*x - 60*x - 4*x**3 + 5*x**3 - 21*x**2 - x**2 - x**2 to the form l + w*x**3 + f*x + s*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35211206 + -2?\nAnswer: 35211204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 108 = 4*f. What is the remainder when f\/(-3)*(-4023)\/(-18) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 1. Let m be b(-5). Suppose 0*r = -5*r. Suppose -x - m*x = r. Solve -d - d + 8 = x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(-3 - 3*u**2 + 3) - 2*u**2 - 8*u**2 - u**2 + (-6 + 0 + 5)*(4 - 2*u - 4)*(3 + 1 - 3)*(u - 5 + 5) in the form r*u + d*u**2 + v and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.3 and -0.1.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 100?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7718 - 7713. Which is the closest to 0.1? (a) 0.2 (b) -0.3 (c) y (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334049100 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/4*(421 + 25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -27 - 2\/3*h**4 + 1\/30*h**6 + h**3 - 24*h**2 + 1\/10*h**5 + 0*h. Let j(y) be the second derivative of r(y). Factor j(k).\nAnswer: 2*(k - 1)*(k + 3)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -11. Suppose -73 = -3*n + 5*g, -j*n + 2*g + 44 = g. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*222*(-155)\/62.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -947, -1489, -2043, -2609, -3187, -3777?\nAnswer: -4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.912712517 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 246, 370?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -3*a**4 - a**3\/3 + a**2\/2 - a - 6. What is t(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - c + 3 - 5)*(-9 - 46*c + 22*c + 28*c)*(1 - 3 + 3) to the form x + b*c**2 + s*c and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 62*n + 8. Let q(s) = 42*s + 5. Give 8*q(y) - 5*v(y).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4682 - 4679. Let a(z) = 0*z - 15 + 4*z - 5*z**2 + z. Calculate the common denominator of a(f) and -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y - 20. What is the first derivative of -2*t - 1 - y + 4 - 3 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 44, 97, 174, 275, 400, 549?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11639 (base 11) to base 2\nAnswer: 100000101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n - 66. Let h be v(3). Calculate the remainder when 252 is divided by (h - 0\/(-4))*6\/(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/35 - 6\/5. Let i be (1 - 0)\/(0 + 1). Let x = -3\/4 - -7\/12. Which is the closest to i? (a) u (b) x (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/26 - -3\/26. Let j = 0.05 + -3.05. What is the second biggest value in j, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896 and 6552.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 633, 3, 2.5, 0.09, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - 2\/(-5). Suppose v = 6*c - 2*c - 12. Suppose 10 = -c*i + 1. Is i bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4 + 2*m**3 + 29*m**2 + 18633*m + 45771930 wrt m.\nAnswer: 8*m**3 + 6*m**2 + 58*m + 18633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.381 times 1\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8*g - 6, g = -4*k + 2. Let r(p) = -5*p + 2 + p**3 + 4*p + k*p + p**2. Suppose -n = -3, 3*f + n - 8 = 1. Give r(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152528.1408 microseconds in weeks?\nAnswer: 0.000000252196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 88960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*g**2 - 217*g**2 + 111*g**2)*(3 - 2 - 3) - 1 + 2*g**2 + 1 - 2*g**2 + 3*g**2 + 0*g**2.\nAnswer: -149*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17993092?\nAnswer: 2, 13, 43, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -27*r**4\/4 - 17*r**3 + 87*r**2\/2 - 9*r + 403. Suppose d(j) = 0. What is j?\nAnswer: -3, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 2, p: 5}. What is prob of sequence xp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -489 - -496. Let l(f) be the second derivative of -f**4\/12 + f**3 + 17*f**2\/2 + 116*f. Determine l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 2*a)*(a**2 - 5 - 1 + 8)*(a - 3*a + 0*a).\nAnswer: 2*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)*p)\/p*p)\/(p\/((p*p*p**7*p*p)\/p)))\/(p**1*p*p*p*p*p**(-3)*p*p*p)*(p*p*p**(1\/3)*p**(2\/9)*p)**(-1\/68) assuming p is positive.\nAnswer: p**(4993\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25433985 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*r - 16, 2*r - 5*x + 3*x = -16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n - 2 + 2)*(-4*n**2 + 3*n**2 + 3*n**2) + n**3 - n**3 + n**3)*(-4*n**2 + n**2 - 5*n**2) - 438*n**5 + 238*n**5 - 138*n**5.\nAnswer: -330*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-2 + 3 + 0) - 1 + 1 - 1)*(-4 + 1 + 4)*(-590*t**4 + 4896*t**2 - 4896*t**2).\nAnswer: 1770*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.117 and 4?\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21932, -22379, -22826, -23273, -23720, -24167?\n\"Answer: -447*t - 21485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 548029704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 13 = -37. Let s = 88 + -90. Let l = n + s. Solve -q - l*x + 0 = 9, -2*x - 8 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*f - 3*f - 816. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Let b(m) = -m**3 + 9*m**2 - 10*m + 19. Let r be b(t). Solve -p + 2 = r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1177 by 2864.\nAnswer: 1177\/2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -728, -1161, -1590, -2015, -2436, -2853?\nAnswer: -3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-57)*(-18)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61230.5um to meters.\nAnswer: 0.0612305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -0*h + 2*h. Suppose -c - 4*c = -h. Let m = -26 + c. Solve -2*l = u - 4, 0*u + 20 = -5*l + m*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from atwaofs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/20 + 17*g**4\/8 - 42*g**2 + 2. Solve h(x) = 0 for x.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 2 + 9\/2*y**2.\nAnswer: (3*y - 2)*(3*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50751 = -4*x - t, 0 = x + 863*t - 860*t - 12685. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388 * 231.1\nAnswer: 89666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074003 is divided by 214751?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhelahgggah. What is prob of sequence aa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.1. Let u(w) = -w**3 + 3*w**2. Let j be u(3). Which is the nearest to d? (a) j (b) 5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1685 - 1685 + 379*m.\nAnswer: 379*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399, -3, -14, 1, -8, -10.\nAnswer: -399, -14, -10, -8, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -10. Let n = -10 + w. Solve 0*c = 3*c + n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 10*w**2 - 6. Let o be s(5). Let z(j) = -j**3 + 2*j**2 - j. Let f be z(2). What are the prime factors of (f\/o)\/((-3)\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5 = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107538647 to four decimal places.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 59. Suppose 3*z - s*h = 1917, -704 = -5*z - 2*h + 2463. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a + -3a339?\nAnswer: -3a4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:05 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 109 + 57 = -52 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 1299066*u\/7 - 5196232\/7.\nAnswer: -2*(u - 649529)*(u - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5213337 + -17?\nAnswer: -5213356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 7. Suppose 5*l + 18 = 8*l. Suppose 2 - 14 = -l*a. Let u(b) = b**2 - b - 2. Let m be u(a). Give v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let f(i) = 3*i - 13*i + 2*i**2 + 13*i. Determine -f(u) + 6*k(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/20 - 55*k**4\/12 + 364*k**3\/3 + 392*k**2 - 220*k. Suppose i(q) = 0. What is q?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d + 1. Let a be ((-3)\/(-12))\/(3\/12). Let u(o) = 18*o**2 + 8*o + 3. Let l(r) = a*u(r) - 3*w(r). Find the second derivative of l(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 - 1\/12*y**4 - 4\/3*y**3 + y + 1\/2*y**2. Let c be v(-8). Sort -4, c, -1 in descending order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-6)*(1*9)\/((-21)\/(-14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:30 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 188, 312, 470, 674, 936?\n\"Answer: 2*l**3 - l**2 + 91*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q - 5 = 0. Suppose -g - g + 0*g**2 - g**2 - q + 4*g = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90531330, 90531335, 90531350, 90531381, 90531434, 90531515?\nAnswer: 90531630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiihniiihihhiihq. Give prob of sequence ih.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/17 - 6*r**3\/17 - 6*r**2\/17 + 22*r\/17 - 12\/17 = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -8*j + 33\/20*j**5 + 0 + 1\/3*j**3 + 21\/2*j**2 + 0*j**4. Find the second derivative of a(d) wrt d.\nAnswer: 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.48? (a) 15 (b) -4 (c) 176 (d) -2\/7 (e) 1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1747628 and 3752.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 - 81 + 10*q)*(0 + 1 + 1)*(2*q + 2*q - 2*q) + 3*q**2 + 6 - 6.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -121.15 >= 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 72*f - 17. Is v(14) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54664?\nAnswer: 2, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*-3*sqrt(133))\/(2*sqrt(7)*5 + -3*(sqrt(63) - sqrt(7))).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228291281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*v - 155*v**3 - 178*v)*(6*v + 7 - 4 - 7).\nAnswer: -930*v**4 + 620*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 4?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 9. Find the first derivative of 4*h**2 - 4*h**2 + 5 + k*h**4 - 8*h**4 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4008 and 2737870812.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706495207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92607*h**2*z**3 + 192*h**2*z**2 + 2964*h**2 - 1857*h with respect to z.\nAnswer: -277821*h**2*z**2 + 384*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*2*(-9)\/6. Let f(g) = 4*g**2 + 4*g - 7. Let t(y) = 2*y**2 + 2*y - 4. What is a*f(z) - 5*t(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 1, 0.1, -7, 2\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/511 (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*l. Let u(o) = 4*o**2 + 2. Give u(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 527 and 186?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (2 - -12) - 2. Let m = h - -23. Suppose q = 3*d - 2*q - 780012, 0 = d + m*q - 259980. What is d rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u. Let d(m) = -m + 11. Let h be d(11). Suppose h*r + r = u. Solve r = g + 3 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2351 divide 53207832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -106958, -427876, -962744, -1711562?\n\"Answer: -106975*y**2 + 7*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.34 and -84.26.\nAnswer: 1292.5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 1921053?\nAnswer: -1921025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 + 1*(-48)\/6. Suppose -5*x = 5*y - 5, -2*y + x = y - 11. Calculate the common denominator of -101\/30 and y + (-121)\/l - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078345847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 0 (c) -1\/3 (d) -11.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 25 = 5*f, 5*a - 12970 = -f - 12919 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 5, -1, 3\/2, 1\/75 in decreasing order.\nAnswer: 5, 3\/2, 1\/75, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*p - 502 = 0, -3*p + 482 = 2*c - 0*p. Calculate the greatest common divisor of 156 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a + 10367 = 1535 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189.114908 + 303.1148943. Let n = p - 114. Round n to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693445909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) -5 (c) 12 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-50)*-1*54 + -6. Put 0.086, -2, 0.2, t in descending order.\nAnswer: 0.2, 0.086, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61639 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 9*y + 9. Let c be h(6). Let a(t) = -t**2 - 9*t. Let b be a(c). Solve 6*p - 3*p + 3 = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 36. Let x = 387\/8 - n. Let u = -4\/33 + 1987\/330. Find the common denominator of x and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600 by -150.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w**2 + 1 - 13 + 13.\nAnswer: -79*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)*(-13 + 13). Let c(h) = 393 - 393 + i*h + h. Let k(g) = -94*g. Determine k(c(p)).\nAnswer: -94*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/107338601 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 2. Suppose -j*w = -w - 6. Let v(q) = -4 + 2 + w + 10*q. Give v(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 36 = -38. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 1 + 1 + (-1 + 1 + 2)*(4*q + 0*q + 0*q) + (-3 + 3 - 1)*(10 + 9 - 33)*(-q - 2*q + 4*q).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/144 and 41\/31186?\nAnswer: 2245392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + (-574)\/49. Let g = -10 - l. Solve g = -3*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 6*a + 6. What is the remainder when 63 is divided by z(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 0*f - f + 1 + 59 - 16*f - 59 + (2*f - f + 0*f)*(-2 - 2 + 6) in the form z*f + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 64.1. Let m = x + 4.099973. Round m to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 184, 288, 424, 604, 840?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -4.2. Let h = z + -1. Let n be (-4)\/6 + (-5)\/(-12). What is the second biggest value in n, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:12 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -309, -8\/7, 3\/4?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17855, 35702, 53549, 71396, 89243, 107090?\n\"Answer: 17847*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8958663 and 3311?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 186.2608173 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 20*r**2 - 2*r - 8. Let u = -29 - -36. Suppose -x - u = -2*x. Is q(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1916\/7 - -274. Solve 0*f**2 + 2\/7*f**5 + 0*f - 4\/7*f**4 + 0 + q*f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(126)\/sqrt(2)*-6 - (-1 + (sqrt(7)*-1 - sqrt(7) - sqrt(7)) + 2*sqrt(112))**2) + 0).\nAnswer: -352 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = -5. Let z = -32 + 46. Let h = z + -10. Put -1, x, h in increasing order.\nAnswer: -1, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(475).\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.23519 months in years?\nAnswer: 5.8529325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 1}. What is prob of sequence ym?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w + 27. Let l(h) = -5*h + 14. Let a(u) = -7*l(u) + 4*y(u). Let i be a(10). Suppose t - 5*t + 16 = i. Solve 0 = k - 2*k - t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -27*y**2 - 8*y + 42. Let i(g) = 53*g**2 + 16*g - 84. Let p(m) = -6*i(m) - 11*j(m). Let b be p(6). What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11431.23 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 30978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/9 + (-261)\/81. Calculate the remainder when 42 is divided by (11\/(-2))\/(c\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18797619*m*x**4 + m*x**3 + 312*m*x**2 - 5*m*x - 3*m - x**4 - 131*x**2 + 3 wrt x?\nAnswer: 451142856*m*x + 6*m - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiieiieeiieeei. What is prob of sequence iee?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x - 1354 = -274 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 160*y**3 - y**2 + 1. Let t be n(1). Let o = -17307\/550 - -706\/25. Find the common denominator of t\/(-90) - 1\/2 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13496 and 2169.\nAnswer: 121464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -10022236?\nAnswer: -10022225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 35. Calculate p(25).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/55, -23\/3, 5?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 12. List the prime factors of ((-8)\/w)\/(16\/(-480)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.781541t to kilograms.\nAnswer: 8781.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:47 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -0.316?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**2 + 2*i + 0 - 1\/6*i**3. Let l(h) = -4*h**2. What is l(p(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12973 - 0.15.\nAnswer: -12973.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/10*-2)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 + 1. Let h(f) = 2*f - 3. Let p be h(2). Let j(c) = -7*c**3 - 8*c**2 + c + 7. Let g(x) = p*j(x) - 4*m(x). Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 202*w**2 + 43036*w\/3 - 14304 = 0. What is w?\nAnswer: -72, 298\/303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5864*z - 16727*z - 15315*z - 18638*z.\nAnswer: -44816*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/((-3)\/(-9)). Suppose -4*c + 8 = t - 3*t, 0 = -4*t. Suppose -k = -4*h + 17, 0 = -4*k + c*k + 4*h - 14. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 207.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 1. Suppose 2*u - d + 3 = -4*d, -4*u = 4*d. Let h be o(u). Let g be (-2 + -2)\/(2\/(-5)). What is the highest common factor of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 858, 839, 812, 783, 758, 743, 744?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3762 = -30*q + 48*q. What is the highest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 37617.819.\nAnswer: -639502.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjjsss. What is prob of picking 1 j and 3 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 52. Let z be q(-17). Let t be 3*4\/6 - z. Suppose 0 = -c + t - 68. Solve c*s + 8 = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 57 = -2*j - 3*s, -4*j + 4*s + 92 = 0. Let h = -3.2 + 3. Let y = -1.2 - h. Which is the closest to y? (a) j (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209791360 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021524669 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -57.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331222 - -530?\nAnswer: 331752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.1 = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69287 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 + 6*k - 5. Suppose 3*v = -a + 16, -4*a - 2*v = -2*a - 16. Let f be q(a). Is 2 - ((-29 - -3) + f) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8 = 3*d, 2*d - m - 2 = 2*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 3*i**3 - 17*i**5 + 14*i**5 - 3*i**2 + 2*i**4.\nAnswer: -3*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - -9 - (-16)\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 271*q - 270*q + 5*i, -14*i - 44 = 3*q + 15*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d - 10 + 16 - 1 + (d + 4*d - 3*d)*(5 - 2 - 1) + (-3 + 1 + 1)*(30*d - 16*d - 8*d)*(1 - 6 + 4) to u*d + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 16 + (-14 - (-2 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11460 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z - 71*z**5 + 56*z**5 - 4*z + 0*z wrt z?\nAnswer: -300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -166 - -167 - (-52 - -3)*1. Let p(h) = -6*h - 5. Let v be p(-5). Calculate the highest common divisor of v and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/11)\/(((q**4\/q*q)\/q)\/q*q*q))**23)**(-1\/26))**(9\/5) assuming q is positive.\nAnswer: q**(9729\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrevmymrrrrrv. What is prob of sequence rrer?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d - d)*(11*d**3 - 50*d**3 - 25*d**3).\nAnswer: 192*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 5, b: 1, d: 1}. What is prob of picking 1 i and 1 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 16*l**2 - 16*l + 16. Determine k(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aao when three letters picked without replacement from {h: 6, a: 7, o: 4}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2)**2*5.\nAnswer: 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 9. Let q be c(-6). Let w be (4\/3 + -1)*6. What is the second derivative of -p**2 - w*p - 3 + q wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-125)\/(-20))\/(-5)*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 34. Let p be b\/(-7)*(5 - 15\/10). Solve p + 2 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1315 and 12887?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-3 - -5) - (4 + 0 - 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -114. Suppose 182 = d + d - p*f, -5*d + 2*f = -434. Suppose -4*b + 90 + d = 0. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:24 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35672387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + 38\/(-4))*-2. Let k be 1\/(1\/5 - 0). Sort m, -17, k in increasing order.\nAnswer: -17, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03991787556 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -48. Let l = i - -32. Suppose l = 4*y - 11*y - 350000. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.958 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 231 - 160 = -3*j + 138 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/152 and 29\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 240122 (base 6) to base 11\nAnswer: 14687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 51669 = 30393. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose 3*i - 19 = -o, 2*i = 3*o - 0 - n. Suppose -4*t = -i*t. Solve 2*c = -t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 + (27 + -13 - 14). Suppose 3*d + 3 = 9. What is the greatest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55883681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19475953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22838990 a multiple of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 50 = 2*d. Suppose 0 = -0*u - u + d. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2156, -12954, -23752, -34550?\nAnswer: -45348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 438?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 581703824.9.\nAnswer: -581703824.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.13, -5, -2.1, -4 in descending order.\nAnswer: 0.13, -2.1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -i - 1, 2*i + 0*j = j. Let b be (-16 + -2 + i)*-4. Suppose 3*q = -4*h + 44, -5*q + h - 5*h = -b. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyboobiiybyyybbb. What is prob of picking 1 y, 1 i, 1 o, and 1 b?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1743 + 2593. Let a = -431 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -2. Let f = 25 - 39. Let s be 1*f\/(-2 + 1). Calculate the greatest common factor of s and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1687 - 109 = -4*m. Suppose m = 4*n + 37. List the prime factors of n.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**13*l*l**12)\/(l**(-2\/65)\/(l*l*l**(-6\/5))) assuming l is positive.\nAnswer: l**(1809\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 860\/1299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-3 - (39\/(-9) + 3)). Suppose 2*a + 4*h + 6 = 0, -1451 = -3*h - 1460. Solve 4*v**a - 1\/3*v - 2\/3*v**2 + 0 - g*v**4 + 5\/3*v**5 = 0 for v.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -120. Find the second derivative of 0*v + 2*v + 83*v**3 - 75*v**m wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9034740 and 47\/18532800.\nAnswer: 722779200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*1 - (-192)\/(-216) and -34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -186313397, -372626788, -558940165, -745253522, -931566853, -1117880152?\n\"Answer: j**3 + j**2 - 186313401*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5962623 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/57 (b) -5 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -70. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 41 - 81 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4945 is divided by 549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/63 and 36\/104915671.\nAnswer: 944241039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50\/15)\/(680\/612*(-2)\/(-10)). Solve -1708 = -r*p - 1618 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:23 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:11 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -41\/10*h + 1\/10*h**3 - 33\/10 - 7\/10*h**2 = 0.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5\/2, -0.5, 4, 411 in descending order.\nAnswer: 411, 4, 5\/2, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.2696 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39522 divided by -6?\nAnswer: -6587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 101 = -13*y + 53 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165020 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = z - 10, -5*z + 4*z = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*c**3 + 1277063 + 281*c**3 - 1277065 + 258*c**3.\nAnswer: 705*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14526*a**3 + 14533*a**3 + 3*a**2 + 3 - 2*a - 3*a**2 - 17.\nAnswer: 7*a**3 - 2*a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - u + (2 + 1 - 1)*(0*u - 2*u - u) + (-4 + 4 + 2)*(-36 - u + 42 + 0*u))*(-3*u**3 + 2*u**2 + 3*u**3 - 2*u**3).\nAnswer: 14*u**4 - 38*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or 0?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 26 - 62. Let v be 2\/12 - (-2)\/u. Factor v - 3\/4*t**3 - 1\/4*t + 1\/4*t**4 + 3\/4*t**2.\nAnswer: t*(t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*m**2*x**2 + 3*m*x**2 + 26*x**2 with respect to m.\nAnswer: -138*m*x**2 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x. Let j(p) = 42*p**2. What is j(g(u))?\nAnswer: 1512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55776 divided by 48.\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267131\/44220 - 20\/2211. What is the common denominator of a and 9\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/8)\/(12\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/273)\/(12\/28). Let g = r - 25\/273. Suppose 3*f + 1 = 4. What is the nearest to 0.1 in f, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53097.6 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.023 and -1729175.\nAnswer: -1729174.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56147401425 from -26.2.\nAnswer: 56147401398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 817 = -695. Let d = -924 + 1092. Calculate the greatest common factor of d and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39614 = 122*n + 7894. Let s be 466\/9 + 4\/18. What is the greatest common divisor of n and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3116 + 3115. What is the smallest value in -63\/8, r, 7?\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170355?\nAnswer: 3, 5, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000232644 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-7))\/(104\/56 - 2). Solve 5*q - 5 = -0*q, 2*w + d*q = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, -2.41, -0.6?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.23 (c) -5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*i**9)\/i*i**(-5))\/(i**5)**(3\/26) assuming i is positive.\nAnswer: i**(141\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (1 - -3)) - (-5 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 4 (b) 0 (c) 5647 (d) 0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*y - 399 = -3*d, 2*y = 5*d - 1927. Suppose 130*r + 2496 = 226*r. Calculate the remainder when d is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11225*d**3*q**2 + 19*d**3*q - 5*d**3 + 3*d**2*q**2 + 5*d**2*q - 160*d**2 + 6*d*q - 2 wrt d?\nAnswer: -67350*q**2 + 114*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118185?\nAnswer: 3, 5, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2129*v + 93645. Give j(-44).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 + 34)*(-1 - (-9)\/6). Let q(h) = h**2 - 4*h**2 - l*h**2 - 5*h**2. Let o(r) = -5*r**2. Calculate o(q(j)).\nAnswer: -6125*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183395?\nAnswer: 3, 5, 78893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476742 = 12*y - 97830. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21386 + 577421\/27. What is the closest to -3 in -5\/6, -2\/9, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -39. Suppose -3*l + h = -8, 0*h + 16 = r*h. Suppose -l*k - 3*u - 4 = 0, -11 = -3*k + 3*u + 7. Solve 2*y + k = 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143616 divided by 132?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let g(d) = d - 1. Let l be (37 + -34)*1\/(-3). Let x(h) = 10*h - 5. Let a(q) = l*x(q) + 4*g(q). What is a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133141 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-2)*(-5 - 15\/(-4)). Solve -v*z + b = -13, 2*z = b + 2 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 - 71*a**3 - 310*a**3 - 175*a**3.\nAnswer: -505*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c120a7 + -8?\nAnswer: -c120b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(99)*-1 + sqrt(99))\/sqrt(3))\/(sqrt(9)\/(-1*sqrt(3)) + sqrt(36)\/sqrt(108)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 3*m**3 + 2*m**3 + 4*m**3 - m**3 - 2*m**3 + (5*m - 5*m + 2*m)*(-2*m**2 + 0*m**2 + 0*m**2))*(-3959*m + 6409*m - 3515*m).\nAnswer: 4260*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (sqrt(171) - ((sqrt(171) - (sqrt(171) + sqrt(171)*1)*1) + sqrt(171)) - sqrt(171))\/(sqrt(54)\/(sqrt(6)*-2) - sqrt(9)) + 4))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, j: 1, f: 1, n: 3, q: 4, h: 3}. Give prob of picking 2 n, 1 j, and 1 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -16*r + 1. Suppose -32*s - 4*l = -26*s - 56, 3*s - 4*l = 16. Let b(x) = 48*x - 2. Give s*h(a) + 3*b(a).\nAnswer: 16*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 388 - 21. Suppose o + 641 = 7*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160547 is divided by 1080269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 2. Let b = 49 + -32. Let t(m) = b - 17 + m. What is -d(i) - 2*t(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q**3 + 0 + 12*q**2 - 1\/480*q**6 + 1\/240*q**5 - 1\/840*q**7 + 1\/1344*q**8 + 0*q**4 + 0*q. Factor k(j).\nAnswer: j**2*(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 - 411.339. Let v = l - 4.841. What is v rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + 73. What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from eezhppppzpp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (18 - (-11 - -29))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 82 = 65*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1068*p. Let c(t) be the second derivative of t**3\/3 - 2*t - 395. Calculate c(m(f)).\nAnswer: -2136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/45*(-65)\/(-91).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (15 - (-10 - -34))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**2 - 108*q - 13. Let f be o(-15). Let l = 211 + f. What is the highest common divisor of 774 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134125432 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.1 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -h + 3, 34*h - 33*h - 11 = 5*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + z**4 + 1 + z**3 - z**4 + 13*z + z**4 + 19*z to h*z + w*z**3 + t + g*z**2 + l*z**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:48 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2 - 1. Let m = 4 + f. Calculate the greatest common factor of m and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -46, -82, -126, -178, -238?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 2*q**2 - 23*q - 55. What is p(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33748 (base 11) to base 16.\nAnswer: beaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6401657 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = -2*y, s + 2*s = -5*y + 15. Suppose 0*z - 3*z = -2*j - 2, 3*j - 15 = y. Suppose -z*a + a - 3 = 0. Is -1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245236 is divided by 245203?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97352132 and 20?\nAnswer: 486760660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2 + 1. Let p(l) = l. Let q(m) = -32*m. Let w(z) = -40*p(z) - q(z). Determine t(w(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361*5.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*x - 99 + 3. Suppose -x*j - 44 = -24*j. Solve 4*w = -j*b - 0*b + 4, -10 = -5*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4912, 4922, 4946, 4990, 5060, 5162, 5302?\n\"Answer: h**3 + h**2 + 4910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -43.1 * 1913\nAnswer: -82450.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37b - fd?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 22146?\nAnswer: 509358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**8\/840 - b**5\/40 + 5*b**3\/3 - 5. Let m(a) be the third derivative of h(a). What is the second derivative of m(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2118\/(-38) - (-608 - -552)\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26733?\nAnswer: 3, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8298 divided by -6?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 + -245. Let i(p) = p**3 + 13*p**2 + 11*p - 17. What is i(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 2*o**2 + 3*o + 2. Let c be d(3). Suppose i = -2*g - c*g - 14, 0 = 3*i - 5*g - 26. Solve -s - 7 = i*p, 3*s = 3*p + p + 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 8*y + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 182 = -268. Let v = 18 + y. Does 10 divide -2 - (2 - v\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + 8 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/22)\/(19627\/(-1727176)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21154877 to the power of 1\/2, to the nearest integer?\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 94?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {a: 5, u: 6, t: 1, e: 1, r: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 3*a + 103 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21088898 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000671 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -4279, -9651, -17161, -26803?\nAnswer: -38571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*p = 645*p + 4*q + 3, 5*q = p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16911?\nAnswer: 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3477\/8 and -434 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*n + 4743, 2*n - 6*p + 9*p - 4753 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12, 0 = -t + 5*q + 17 - 1. Is 341 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1229603*a**3 - 1083189*a**2 wrt a?\nAnswer: 7377618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-9 - -25) + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.303722.\nAnswer: -0.0911166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v**2 - 416*v - 1. Let s(q) = -q**2 - 4. Calculate r(s(g)).\nAnswer: -9*g**4 + 344*g**2 + 1519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -751 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3787309763 + 3787309727.04714877. Let f = -0.04700777 + a. Let z = 36 + f. What is z rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556964 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 - 332*j**4 - 43*j**3 + 20952*j - 3.\nAnswer: 40*j**3 - 3984*j**2 - 258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -29. Let z = 894 - 895. Let h = 181 - 1989\/11. What is the smallest value in h, z, n, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:18 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.26*1.3\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35976 is divided by 4877.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)**(-4\/31)*g\/(g\/g**(-12))*g*g**15)**26 assuming g is positive.\nAnswer: g**(2808\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*u - 5*z, -2*u + 4*z = 2*u + 12. Suppose 3*t = -u*t + 985. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 20. Suppose 0*z = -3*n - z + 11, -4*z = -4*n - 12. Suppose d - 3 - n = 0. Solve d*u + v - 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124120 is divided by 62451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 0*x**3 + 2*x**3 + (-1 - 1 + 1)*(0*x**3 - 2*x**3 + 0*x**3) - x**3 - 2*x**3 + 0*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12211113 (base 8) to base 7\nAnswer: 31610255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3\/16, -0.24 in descending order.\nAnswer: 41, 3\/16, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:51 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**2 - 21*s**2 + 62*s**2 - 24*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536259 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 14*j**2 - 35*j - 13. Let r be q(6). Suppose -15 - r = 40*h. Sort h, 4, -3, -5 in descending order.\nAnswer: 4, h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-1))\/((-11)\/(-44)). Let k = c + -7. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/a**(-1)*((a**(-12)\/a)\/a)\/(a*((a**(-2\/21)*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -1976*n + 1973*n, -8*h - 13 = -9*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.6 + -65.6. Let o = z - -51.838. What is o rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 15695326.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8143 rounded to the nearest one hundred?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196769 is divided by 19675?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50236 divided by -1322?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b + 2. Calculate the remainder when 67 is divided by m(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2 + 7*a + 6. Determine m(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22209907 divided by 3.\nAnswer: -22209907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(8\/6) - -8. Solve -20 = w*k, 3*l - l + 5*k = -20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2. Let y(x) = -17*x**3 + 112*x**2 - 2*x - 4. Let d(j) = 8*j**3 - 50*j**2 + j + 2. Let n(f) = -9*d(f) - 4*y(f). Calculate 2*g(a) + n(a).\nAnswer: -4*a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - z + z + (-339*z + 337*z - 1464 + 312)*(-7 + 1 - 15)*(3*z + 0*z - 2*z).\nAnswer: 44*z**2 + 24192*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/86 - 365\/602. What is the second biggest value in -4, h, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101200 (base 4) to base 9\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -12. Let s be 2\/10 - 900\/125. Is s at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*d + 130, r - 7*d - 71 = -11*d. Let g = 75 - r. Calculate the highest common divisor of 140 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 4 (c) 1 (d) 0.08 (e) 6 (f) -48\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 66222?\nAnswer: 66218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 2.1. Let k = 19.05 + -13.14. Let r = k + -7.61. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604790991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:52 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + a + 3306901*a**3 + 5*a**2 + 6*a**2 - 3306964*a**3.\nAnswer: -63*a**3 + 7*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20*p**2 + 18*p - 5. Let o(q) = 41*q**2 + 37*q - 10. Let l(c) = 9*h(c) - 4*o(c). Let z(y) = 5*y**2 + y + 1. Let x be z(1). Is l(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 48 = -4*k, -3*h + 15 + 87 = -2*k. Solve h*f - 39*f + 2*o = 1, -4*f + 4*o = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712087053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1053) - (0 + sqrt(1053))) - (1 + sqrt(1573))*-6.\nAnswer: 6 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 + 2*b + 2. Let v = -12 - -9. Let o be s(v). Suppose 0 = -0*g + g - o. What is the highest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31636*u**4 - u**3 + 55263 with respect to u.\nAnswer: -126544*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 42 = 16. Let l = a + 31. Suppose -4*m - 274 = -5*z, 2*z + 298 = 7*z + l*m. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19*j**2 + 3395*j - 15002. Determine w(-183).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**7\/420 - p**4\/8 + p**3\/3 + 2*p. Let x(s) be the second derivative of u(s). Differentiate x(h) wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 1\/13 (b) -1\/5 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from jjkjkkjjjk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9965807 - -35844\nAnswer: 10001651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 13*j + 3\/10*j**2 + 3\/10*j**3 + 0 + 1\/10*j**4. Factor t(q).\nAnswer: 3*(q + 1)*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 1:31 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 27*s**3 - 9*s**2 + 49*s + 4. Is m(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 61852.5 hours?\nAnswer: 222669000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*(2\/(-6) - 40\/(-15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100001010000010100001 (base 2) to base 11\nAnswer: 684784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -189, -377, -567, -759, -953, -1149?\n\"Answer: -s**2 - 185*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5 + 11*-1 - (111 - (-36 - -138))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001000011010 + 1000011?\nAnswer: 111001001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 342 = 3*i, 3*i + 3*f - 8*f = -346. Round i to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1 - 2) + (-106)\/36 + (-1496734)\/6735303.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = 5*i, -4*i - 5*v + 31 = -0*v. Let y be (i - 9)*44\/(-10). Is y*(-4)\/(-8) - -2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 50788ef?\nAnswer: 50788f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 + 4*d - 9. Let t be s(5). Let o = -80 - t. Calculate the remainder when o is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -46. Suppose -5*m + 45 = q, -m + d*m = 2*q. What is the remainder when 74\/4 + (-1)\/2 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8453\/954 + 80\/9. Let l = j + -115\/318. What is the second smallest value in l, 0.04, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/13 - 174334*c**2\/13 - 1569168*c\/13.\nAnswer: 2*c*(c - 87176)*(c + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by -3\nAnswer: -241\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.54393 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 18*p - 104 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1.06152?\nAnswer: 1.06152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85.1 - -20655799304.\nAnswer: 20655799389.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 1)*4 - sqrt(176)*-3*3)**2.\nAnswer: 416*sqrt(11) + 29760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 511 - 389. Suppose 3*y + 0*y - 5*l = k, 4*y = -5*l + 151. Calculate the highest common factor of y and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 29*l - 220. Let m be 4\/10 - (-14)\/(-10). What is the units digit of 0 + l + (m - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o + 3 = -3*t, 5*o - 1 = t. Suppose o = -5*g + 6*g - 8. Solve -6*j + 4*j + g = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 34, 3.\nAnswer: -2\/9, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -1, -5, -8\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 768057167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(468) + -1 - (1 + sqrt(468))*-6)**2 + (3 + -6*(sqrt(13) + -1) + 3*(2 + sqrt(13)*-2))**2.\nAnswer: -360*sqrt(13) + 25029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-3)\/36). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 156.6291\nAnswer: -157.0291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -502 - -462. Let l be (-2 - -27)\/((6 + -11)\/b). Calculate the greatest common divisor of l and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2710*m**5 - 120*m - 1.\nAnswer: 54200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/16)\/3*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8905 (base 15) in base 12?\nAnswer: 14972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 4. Let o be t(-7). Let s(c) = 5*c**3 + c**2 - 2*c + 1. Let a be s(1). Let w = o + a. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295421 and 106232?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 486\/474 + 9 + (-390)\/39?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*i**3*w - h**3*i**3 - 2*h**3*i**2 - 16*h**3*w + 18*h**2*i**3 + 5*h*i**2*w wrt i?\nAnswer: 18*h**3*w - 6*h**3 + 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2 - 9. Suppose -94 = 5*r - 2*b, r + r = -2*b - 32. Let u = 155 + -153. Let p(m) = -m**2 - 1. Calculate r*p(o) + u*i(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 17730 = -3022. List the prime factors of g.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396423 is divided by 4080.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0 (c) -0.4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2 - -3) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/25)*c**3)**(-46)\/((c**5*(c**(-2\/3)*c)\/c)\/(c**(-4)\/(c*c*c*c**(3\/7)))) assuming c is positive.\nAnswer: c**(-128857\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/10 (c) -3 (d) 0.09 (e) 5 (f) 1\/4 (g) -7163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 24. Let u = y + 27. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/5 + 3774*c**4\/5 - 1512*c**3 + 6*c**2\/5 + 7557*c\/5 - 756 = 0 for c.\nAnswer: -1260, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-8))\/(1\/16*-4). Suppose 6*h = 3*q + h - 2762, x*h = q - 924. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584 - 1858 = -726*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvggggggggggg. Give prob of picking 1 g and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -455 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 68. Calculate the remainder when 92 is divided by 62*(4 + r)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((52871\/147)\/(-83))\/(3\/9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 35 = -27. Let l = -32 + 18. What are the prime factors of x\/l - 729\/(-21)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6930 divided by 6?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 4*i - 97 + 71 - 48 - 85 to n*i + c and give c.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.82081 micrometers?\nAnswer: 820.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54, -52, -50, -48, -46, -44?\n\"Answer: 2*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222856.5478 + -17.\nAnswer: -222873.5478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3424, 6860, 10316, 13798, 17312?\n\"Answer: g**3 + 4*g**2 + 3417*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6101 in -1, 3\/2, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 27*q. Let r(b) = 4*b - 33. Let o(h) = 28*h + 35. Let k(p) = o(p) + r(p). Determine g(k(m)).\nAnswer: 864*m + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/240 - p**5\/120 - p**4\/24 + 3*p**2. Let g(w) be the second derivative of u(w). Find the first derivative of g(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 23. Sort u, -3, -0.5 in descending order.\nAnswer: u, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 + 3*y + 441. What is the units digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icwo when four letters picked without replacement from {c: 1, w: 2, i: 1, t: 1, g: 1, o: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 2\/3, 25, -6.9, -3 in increasing order.\nAnswer: -6.9, -3, 4\/11, 2\/3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k. Let q(b) = 16*b. Give -3*q(j) - 4*r(j).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5381 + -5381.8055. What is g rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177\/7 + 25. Suppose -2*z + 3 = 1. Which is the closest to z? (a) -5 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*w - w + 3*n, 3*n - 15 = 3*w. Let a be w - (-3 - -1 - -2). Let p = -5 - a. Solve -i - 6 = -2*m + p, i = 5*m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211487 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 534, 0.3, -4, 4, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = -8*v. Suppose -q = -v*q + 9. Suppose -4*s - 4 = 0, 0*d + 2*s + 233 = q*d. List the prime factors of d.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4240*l - 89*l - 579*l - 531*l. Let g(p) = 2*p**2. What is k(g(v))?\nAnswer: -10878*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-15856)\/(-13874))\/(114\/28)*(-3)\/(-4)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*d - w, 4*w = 9*d - 10 - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2 + 364*i - 197*i + 563 - 3*i**2 + 404 + 336*i wrt i?\nAnswer: -2*i + 503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -32?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(432)*-2.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15.92. Let o = 3.92 + g. Put 1, o, 0.2 in decreasing order.\nAnswer: o, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833 = 189*a + 1099 + 1246 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -u - 13, -2*u + 15 = -4*l + 5. Suppose -8*v + 4 = -4*v - 2*t, -3*v + 21 = 3*t. Suppose h - v*h - 4 = 0. Sort h, u, 4.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-5)*(-2 - -1). Suppose 4*z - 13 - 3 = k. Solve z - 3 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -281.5 - -283.5. Let r = 6.4 + -7. Let y = 0.1 + r. What is the nearest to 1 in y, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100112544 is divided by 967.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3052*r**4 - 2*r**3 - 5766*r wrt r.\nAnswer: -36624*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 10*z - 15. Let r be f(-11). Let d = -2 + 8. Let j be (d*1\/2)\/(-1). Are r and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 15*s - 24*s + 13*s - 4*s**4 + 4*s**4 + 2*s**4 + (3*s - 3*s - 2*s**3)*(-5*s + 5*s + 2*s) - 2*s**3 + 2*s**3 + s**4.\nAnswer: 2*s**4 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58405832 and 552040.\nAnswer: 292029160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26027\/72 - 3340\/9. Calculate the common denominator of -17\/383 and t.\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4810 + 1601 + 1609 + 1591 + 37*q.\nAnswer: 37*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u + 78*u - 160 = 59*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 3*y + 2 - 3*y - 3*y.\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624 + 3247 + 14*n**2 - 1623.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, k: 10, o: 1}. What is prob of picking 1 o and 2 j?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -660, -50, 1\/15, 2\/19, 0.2?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Let y = z + -2. Find the second derivative of 4*h - h + y*h**2 + 0*h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49082, -49086, -49092, -49100, -49110?\n\"Answer: -k**2 - k - 49080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*v**3 - 270 + 270 + (2*v**2 + 1 - 1)*(-v + 4*v - 5*v) - v + v + v**3.\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81 + 3*d - 81 + 4*d**2 - 65*d wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgwp when four letters picked without replacement from {q: 1, s: 1, w: 1, g: 1, p: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*v - 39901 = 86*v + 13921 + 18590 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/(-200)*(-7)\/21.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, l: 2}. Give prob of picking 2 l and 1 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1914\/(-7018) + (-1609)\/(-11). Solve j + 10 = -39*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.6 and -93214?\nAnswer: -1547352.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384534 divided by -18.\nAnswer: 21363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14995 + 17095. What is the least common multiple of 600 and o?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 = -8*d + 4709. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-6)\/21*-7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*t + 33 - 96*t + 375*t - 96*t - 101*t - 2*t**2.\nAnswer: -2*t**2 - 15*t + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5)\/(-3) + 63 + -61. Solve -3\/5*x**4 - 9*x**2 - 39\/5*x - u - 21\/5*x**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q. Let u(c) = -4*c**2 + 8. Calculate u(w(j)).\nAnswer: -100*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -3, -1.1, -0.2, 2, -5 in descending order.\nAnswer: 2, 2\/15, -0.2, -1.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(3\/12*4))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 451277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337 + 339. Suppose -5*x = -2 + u. Solve -2*w + 2*z + 2 = 0, -w + 0*w - 4*z + 1 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2*(66\/240 + (-32)\/80). What is the closest to 0.2 in -0.2, q, -11\/3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {l: 2, u: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 4 + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.877 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = -6. Let f be 1 + (-2 - (y + -3)). Let g(s) = s**2 - s. Let j(l) = 3*l + 1. Let n(v) = -4*g(v) - j(v). What is n(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 + -63. Suppose 22 = -4*s + x. Let h = 70 - s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*f = -3*p - 1, p + f + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172604, -172602, -172600, -172598, -172596?\n\"Answer: 2*o - 172606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.008? (a) 0.2 (b) 7 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) 0.3 (c) 0 (d) 58.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) -30 (c) 6 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, -4 in descending order.\nAnswer: 4, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, b: 1, i: 1, n: 1}. Give prob of sequence ni.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32346660.\nAnswer: 2, 3, 5, 539111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373248627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from farfxafirrxf. Give prob of picking 2 f and 1 r.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14939 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 236955400 to the nearest 100000.\nAnswer: 237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*(g*g**(2\/17)*g)\/g*(g*(g**(-2)*g)\/g*g)**8)**5 assuming g is positive.\nAnswer: g**(265\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220229 is divided by 706.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Find the third derivative of 19*v**5 - 340*v**3 - 14*v**x + 340*v**3 wrt v.\nAnswer: 1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 155. Suppose 10*w - 9*w = 4*w - 54. Calculate the smallest common multiple of w and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 171*r**3 + 249*r**2\/2 + r - 568. Find the second derivative of p(g) wrt g.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 363.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, q: 7, n: 1, h: 1}. Give prob of picking 1 n, 1 h, and 1 q.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31906 + -606212\/19. What is the third smallest value in 2\/7, a, -0.08, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:43 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-146)\/(-5) - 5\/25 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 4, -0.2622, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - 2*t**2 + 27840*t - 27856*t - 548)*(-3*t**2 + 3*t + 2*t - 3*t) in the form i*t**4 + w*t + n*t**2 + d*t**3 + h and give w.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(6\/4 + -2). Let p = a + 2. What is the second smallest value in -0.4, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffeeffffffff. What is prob of picking 2 f?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 13*p**2 + p - 17. Let s be a(13). Let n be (-1 - -111)*(s + 3). What are the prime factors of n\/(-6) + (-2)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-26 - (-12 + -22 + 25)) + -82.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdttttddttttdttttd. Give prob of picking 2 t and 2 d.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257\/2 > 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 956, 2122, 3282, 4436?\n\"Answer: -3*s**2 + 1175*s - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.6. What is the third smallest value in 2\/7, s, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 14. What is w(-6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7467*w**3 + 6*w**2 + 1009 wrt w?\nAnswer: -44802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3401 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6488, -12969, -19444, -25913, -32376?\n\"Answer: 3*f**2 - 6490*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 33 = 2*y - 5*y, -w + 154 = -14*y. Let q(v) = 2*v - 11. Give q(y).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303*y - 34*y**2 + 303*y)*(-3*y + 3*y + y) + 0*y**3 - 3*y**3 + 0*y**3.\nAnswer: -37*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 m, and 1 z when four letters picked without replacement from mmzfmzmzm?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((8\/28)\/(16\/28)). Suppose -7*o - c*j - 23 = -12*o, 5*j + 35 = 5*o. Put o, -5, -37, -1 in ascending order.\nAnswer: -37, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 20, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m + 9. Let v(o) = 173*o**2. Determine y(v(s)).\nAnswer: 2076*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - 6*l**4 + 30*l**4 + (4*l + 0*l - l)*(-2*l**3 + l**3 - l**3).\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 250 = 2*w - 3*g + 143, 3*g + 37 = -5*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26 - (4 + -3)) + -2. Let v = g - 15. Is v not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8 and 477\/24*((-20)\/15)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n + 3. Let u(i) = -i**2. Let o(a) = j(a) + 5*u(a). Let x be o(6). Solve m - 7 = -x*q, 2*m = -m - 4*q + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:54 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.515*3.\nAnswer: -1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6657 and 0.4?\nAnswer: 6657.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906499462 - 906499462 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/3 (c) -2.155 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(34) - sqrt(238)\/sqrt(7))\/sqrt(2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 1. Let a(i) = -5*i**2 - 2*i - 1. Give a(t) + 6*l(t).\nAnswer: -11*t**2 - 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, -25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 6:16 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10885 + -4d?\nAnswer: 10836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*l**2 + 51*l**2 + 5 + 60*l**2)*(l**3 + l**3 - 4*l**3) + 3*l**5 + 0*l**5 + 0*l**5.\nAnswer: -35*l**5 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(1\/6))))\/((o\/(o\/(o\/(o*o\/o**(-1\/29)))))\/o) assuming o is positive.\nAnswer: o**(557\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((-48)\/88)*37. Let w = r - 384. Calculate the remainder when 50 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 568932 and 87528.\nAnswer: 1137864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010230 (base 4) in base 7?\nAnswer: 2534132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2337*w + 9456 = -2343*w. Let x = -4769\/3 - w. What is the common denominator of x and 83\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssyhzaazzsss. Give prob of sequence az.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 874639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 174, 277, 396, 537?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46227157 is divided by 491.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229864?\nAnswer: 2, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = 10*m - 3*m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:09 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -111?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-8)*z)\/z))\/z**7 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 34258?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-3)\/(-1)))\/(716 - 20603704\/28776)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*f + 5*f = -24, 0 = 4*q - 2*f - 24. Solve -q*d = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/65 in 1\/3, -1\/4, -5, 2\/3, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and 20.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:37 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n**(5\/3)*n*n**(-2\/19)*n*n*n*n**(1\/6))\/((n**(1\/3)*n**(-1\/8))\/((n\/n**7)\/(n\/((n*((n**(2\/15)\/n)\/n)\/n)\/n)))) assuming n is positive.\nAnswer: n**(-8117\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 12) + (2 - 1) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 687 + t**2 + 671.\nAnswer: -2*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 132900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.73?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**3*p*s + 2594*k**3 + 136*k**2*s + 298*k*p*s - 883*p wrt p.\nAnswer: -5*k**3*s + 298*k*s - 883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000336445645 rounded to 7 dps?\nAnswer: -0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*s - 5*j + 12, 2*j = -5*s + 18. Let t = -8 - -13. Suppose 0 = -t*b - 0*d + 2*d + 107, 8 = 2*d. Solve i - 1 = m, 0 = -s*m + 6*m + 5*i - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 0*w)*(w**3 - 2*w + 2*w) + 1 - 1 + w**4 + (7*w - 7*w - 28*w)*(7 - 6*w**3 - 7).\nAnswer: 167*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1110606 divided by 62.\nAnswer: -17913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + f - 24, -26*f + 30*f - 12 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 - 7*v - 6. Let n(h) be the third derivative of -h**6\/120 + 3*h**5\/20 - h**4\/3 - 7*h**3\/6 - 253*h**2. Calculate -6*n(g) + 7*t(g).\nAnswer: -g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayayakyykgamabymymyy. Give prob of picking 1 y and 1 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6240 is divided by 416.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/276 + 38\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24467003 divided by -2\nAnswer: 24467003\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 7*k - 8. Give m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-16)\/(-6))\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 117969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37153442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773573452 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23532.\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -10. Let p(l) = -13*l + 50. Let h(y) = -15*y + 54. Let i(s) = -6*h(s) + 7*p(s). Let g be i(v). Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:26 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -c, -2*c + 8 - 30 + 47 = 5*c - 2*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + 1 + -50 - 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 56, 79, 102?\n\"Answer: 23*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 132. Suppose y*k - 1140 = -6*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305628 - 305628 + 8*z**2 - 9*z**2 - 15*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*i + 6. Suppose 0 = 4*x - 5*x + 9. Let m = x + i. Solve -2 = -m*f - 3*n, 4*f + 0*n - 6 = -n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -91*a**2 + 11*a - 11. Let b(w) = 60*w**2 - 8*w + 8. Let h(c) = -7*b(c) - 5*p(c). Calculate h(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 1366*g**3 + 1368*g**3 - 4*g - 2. What is the hundreds digit of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2. Let q(k) = 94*k**2 - 24*k**2 - 25*k**2. Calculate q(x(a)).\nAnswer: 405*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-32)\/(-208) + 1218\/26. Calculate the highest common divisor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 12}. What is prob of picking 1 j and 2 n?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 833*h**2. Let t(i) = i + 1175731 - 1175731. Determine t(c(s)).\nAnswer: 833*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*i**2 - 2 + 35*i**2 + 8.\nAnswer: 99*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f + 1. Calculate k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -29\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11565 (base 9) in base 3?\nAnswer: -101122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 54*d + 1. Let u(p) = p**3 - 2*p**2 - 2*p + 2. Let q be u(3). Suppose q*j = 4*j + 3. Is w(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/30, 3, 3\/11, -261.8 in decreasing order.\nAnswer: 3, 3\/11, 1\/30, -261.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**2*t**2 + 28007*b**2*t + 2655952*b*t**2 wrt b?\nAnswer: 20*t**2 + 56014*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 270*k**2 + 775*k + 510.\nAnswer: 5*(k + 1)*(k + 2)*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + (80\/112 - -23). Calculate the greatest common factor of l and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 7*m**2 + 9*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/9))\/c)\/(c\/(c*c**4\/c)))**(-15) assuming c is positive.\nAnswer: c**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (119\/28 + -4)\/(11\/(-220)). Let x(s) = -s**3 + 7*s**2 + 7*s + 9. Let j be x(8). Sort 4, 77, r, j in ascending order.\nAnswer: r, j, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.9 times 0.07\nAnswer: 2.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75674\/10777 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 710532 and 4672552?\nAnswer: 1135430136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 8*w + 10. Let f be q(-7). Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11352 (base 6) to base 10\nAnswer: -1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(-5 + 4*-4*6*-5*(1*sqrt(208) + 2)))**2.\nAnswer: 91680000*sqrt(13) + 1220880625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z**2 + 21*z**2 - 3*z**3)*(114*z - 2116 + 2116 + 50*z).\nAnswer: -492*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12383495*m**3 + 20133678 wrt m?\nAnswer: 37150485*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -42 (b) 1\/26 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98472099 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 44 = 1. Let y be l\/(-5)*1\/1. Solve -9 = 4*z - 5*w + y, -2*w = -z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 929*c**4\/12 + 839*c**3\/3 + 2333*c. What is the second derivative of y(s) wrt s?\nAnswer: 1858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/3))**(-11)*(u\/(u*u**(1\/6))*u)\/(u\/((u\/u**(2\/57))\/u)) assuming u is positive.\nAnswer: u**(-859\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 5)\/(-12 + 2)*5. Solve -2*w = -o*u - 26, 0 = 4*w + 3*u - 1 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.33 + -125.33. Let a = n + 123.08. Put 6\/11, a, -1 in descending order.\nAnswer: 6\/11, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 - 6*v**2 - 8*v + 13. Let g(o) = 4*o**3 + 2*o**2 + 3*o - 4. Determine -8*g(t) - 3*l(t).\nAnswer: t**3 + 2*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*c**3 + c**3 - 42*c**2 - 12*c**3)*(17 + 1 - 7) in the form w + z*c + s*c**2 + m*c**3 and give s.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 22*h - 4*u = -10, -10 = -4*h + 3*u. Sort h, 5, -24, -1 in descending order.\nAnswer: h, 5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6147827 + -3419827. What is l rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + 10*f + 1. Let c be m(7). Solve 0 = -7*z - 6 - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d)\/(d**(-8\/7)*d))**(6\/5)*(d\/d**1)**(-9\/5)\/(d**(-5)\/(d**(-2)*d)) assuming d is positive.\nAnswer: d**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 111.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61514?\nAnswer: 2, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = j, j + 24 = 5*r - 2*j. What is the remainder when 33 is divided by ((-2)\/r)\/((-4)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -13\/180*d**5 - 1\/630*d**7 - 1\/60*d**6 + 0 - 1\/6*d**4 - 3*d**2 - 2\/9*d**3 + 0*d. Determine p so that n(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-3427)\/(-685) + -5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*t - 354367 - 426645 = 0, 4*t = -20. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = -t, -599 + 578 = i - 5*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Suppose -2*a + o = -l - 19, o + 43 = 3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.8 - -26.8. Let w = 2 + -2.5. Sort w, a, 3\/5 in descending order.\nAnswer: 3\/5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose -212 = -3*k + 5*q - 4*q, -k = -4*q - 89. Suppose k - p = 3*i. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 1. Let v(a) = -2*a**2 + 5*a + 2. Let d(r) = 6*r**2 - 15*r - 6. Let c(j) = 6*d(j) + 17*v(j). Calculate -2*c(m) + 5*s(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009516 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -646?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*t + 169*t - 488 = 250. Calculate the greatest common factor of t and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (414\/12)\/((-1)\/(-4)). Let t = i - 27. Calculate the remainder when t is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4786 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*4\/(-16))\/(-2)*6. What is the biggest value in q, -1\/3, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*m - 16 = 105*m. Let i be 56464\/64 + (-2)\/m - 3. What is i rounded to the nearest ten?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(-1)*21. Let m be (-268)\/(-24) + 2\/(-12). Is l equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004895 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {m: 2, e: 1, s: 1, j: 2, k: 1, g: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/2 - 2744*a**3\/3 - 816549*a**2\/2 - 4045021*a\/3 + 1080620 = 0. What is a?\nAnswer: -1065, -761, -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 371077313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) - 5 - -2. Suppose -3*x + 5 = 2. Let n = 32 - 30. Which is the second biggest value? (a) x (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 times 0.58251\nAnswer: -0.6174606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(304)\/sqrt(8))\/(sqrt(162) - -1*sqrt(162)))**2.\nAnswer: 475\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*g + 993*g = 11*t + 496*g - 42, -2*t = 4*g + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69323675, 69323679, 69323685, 69323693, 69323703, 69323715, 69323729?\n\"Answer: j**2 + j + 69323673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 4. Let m be -2 + (-2)\/(-2) + -2. Let j(l) = 68 - l**2 - 15 - 21 - 16 - 19. Calculate m*x(a) - 4*j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(4\/(-30)). Suppose 111 = f*k - 2*k. What is the remainder when k is divided by 2\/(-7) + 279\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6584*v**3 - 30*v**2 - 79*v + 15. Let n(s) = -1646*s**3 + 8*s**2 + 21*s - 4. Calculate -4*i(r) - 15*n(r).\nAnswer: -1646*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -28*10\/(-70) + 87. Solve -21 - x = -28*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f. Let y(m) = m**2 - 6. Let w be y(3). Let l be j(w). Solve v - 1 = -l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -405497 and -0.0723?\nAnswer: 405496.9277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-9)*4671\/(-6228)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llf when three letters picked without replacement from {l: 8, f: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n + 10*n + 15*n + 13*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*r - 22 = 0, 2*a - 5*a - 3*r - 6 = 0. Suppose -h = h. Suppose -l - 17 = -5*f - h*l, 11 = f - 4*l. Sort a, f, -1 in descending order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*t + 7. What is the units digit of 2\/((-2)\/(-25)) + t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505477 is divided by 22976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(-696)*6)\/(2\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from chcvvcvcvcvcvhhvh.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -409*v + 409*v + 7*v**2 + (0*v - v + 3*v)*(v - 2 + 2) to l + b*v + t*v**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 62*j**2 + 1044*j - 5088. Give u(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10 and (-27)\/(-56)*(-42)\/(-12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/5 - 18707001*b\/5 - 7482798 = 0. Calculate b.\nAnswer: -6235665, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*t**4 - 67*t - t**3 + 1 - 47*t**4 - 36*t**4 - 34*t**4 to p*t + g + v*t**2 + j*t**4 + a*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6153 = -17*j + 5966 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -505*j**3 - 3*j - 207. Let m(o) = 9. Let y(u) = 6*m(u) - q(u). What is the second derivative of y(s) wrt s?\nAnswer: 3030*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - 2*n)*(24 + 1 - 75)*(-15 - 2 - 1 + (0 + 3 - 2)*(-3 + 0 + 5) + (-5 + 2 + 1)*(1 + 1 - 4) - 2 + 0 + 0).\nAnswer: 1400*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 - (-1 - -1) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*v = -7, -b - 4 = 2*v + 3*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25451737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-5 + (sqrt(720) - (sqrt(720) + 1*-4*sqrt(720))) + -2)*-4.\nAnswer: -140 + 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*x - 354, 5*k + 362 = 2*k + x. Let h = k + 146. What is the remainder when 47 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9272 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x**3*x)\/(x\/(x*x\/(x\/x**(-5))*x)*x*x**2*x))\/(((x**2*x*x)\/(x*x**(4\/3)))\/(x\/(x*x\/x**(2\/5)))**(-2\/43)) assuming x is positive.\nAnswer: x**(-2347\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 - 0)) + (59 - 62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8105980 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrur when four letters picked without replacement from ruqr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/10 + 7*w**2. Let n(x) = 3*x. Give f(n(g)).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 7:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -12*y. Solve 3*r + 14 + 1 = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100\/3 - -33. Let m = 3 + -3. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.9 - -2.1. Let x = b + -39. What is the third smallest value in x, 0.1, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 138.5437 from 73.\nAnswer: -65.5437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/28070669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 2 + -1. Solve z - v = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/174*-8*26\/6240*18\/(-2).\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (17\/(-3))\/(17\/(-102)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f - 9*f)*(6*f**2 - 5*f + 5*f)*(8 - 8 + 9).\nAnswer: -540*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444470 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: Let w = 25 - 17. Let l(b) = b**3 - 6*b**2 - 11*b - 3. Is l(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlblirxbrrlbiibbxr. Give prob of sequence ixx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 4) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7017.\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuvugvefeevw. What is prob of sequence weev?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 490. Let j(h) = 2*h + 710. Give l(j(w)).\nAnswer: -2*w - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*a = -123*a - 88767. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (8 - 0 - -4 - 18) + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 2089*s - 177 + 87.\nAnswer: -2089*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:13 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59554229 a multiple of 2880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130717800?\nAnswer: 2, 3, 5, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 8, k: 4, r: 1}. What is prob of picking 1 k and 3 c?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 1, l: 3, g: 9}. Give prob of picking 1 l and 3 g.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/5, -0.23, 4?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -36*g + 1. Let c(u) = 88*u + 34. Determine -c(z) - 3*p(z).\nAnswer: 20*z - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**3\/6 - 3*r**2\/2 + 11*r. Let y be v(-3). Let m(a) = -a**2 + a - 3. Calculate m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3\/3 + q**2 - q - 3. Let m be t(1). Let 0 + m*j + 1\/4*j**4 + 0*j**3 + 0*j**2 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + h + 4 = f, -2*f = -2*h - 12. Let r be 3*((f - -2) + -2 + -2). Let o be 2\/(-3)*45\/(-15). What is the second biggest value in 1, o, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 2 b when four letters picked without replacement from ubjbbjubbu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 84116.96 kilograms?\nAnswer: 84116960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18d3708d + 4?\nAnswer: 18d37093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b + 2*b)*(-1 + 1 - 2) + 6*b - 7*b + 117*b.\nAnswer: 114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**4 - 13*s**4 + 0*s**4 + (2*s**2 + 3*s**2 - 4*s**2)*(0*s**2 + 0*s**2 + 2*s**2).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let i(y) = -17*y**2 + 5*y - 5. Let d(j) = 69*j**2 - 21*j + 21. Let g(a) = -5*d(a) - 21*i(a). Give g(k(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 13) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**5 - 5*n**4 - 5*n**2 + 13*n. Let h(v) = v**5 + v**4 + v**2 - v. Let i(o) = -5*h(o) - q(o). Find the second derivative of i(t) wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3 = -s - 17, 5*s + 31*b + 82 = 27*b for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlnbyvl. What is prob of picking 3 y and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*x**2*z**3 + 2*x**2 + 1671*x*z**3 - 2*x*z**2 + z**3 - z**2 + 224643*z wrt z?\nAnswer: -234*x**2 + 10026*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9.19.\nAnswer: 12.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 - y**4\/12 - y**3\/3 + 7*y**2. Let q(c) = c**3 + 13*c**2 - c - 16. Let k be q(-13). Determine m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -o + 2*o, -8 = -2*o. Suppose 0 = j*a + 5*a - 84. Suppose -6*s + a*s = 456. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 - -170. Sort r, -7, 4.\nAnswer: -7, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - v. Let n be y(1). Suppose 5*p - 10 = 0, -1295 = -6*a + 3*a + 5*p. Let h(l) = -218*l - 4 + a*l - 211*l. Calculate h(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016 (base 12) to base 2.\nAnswer: 11011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -209894293.18 + 10\nAnswer: -209894283.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174806 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -159 (b) 0.1402 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4324532 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8)**(-18\/11)*q\/q**(-10)*q\/(q*q**(-2\/13)*q))**(-45) assuming q is positive.\nAnswer: q**(18900\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1647525, 1647533, 1647541, 1647549, 1647557, 1647565?\n\"Answer: 8*l + 1647517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 248*r**2. Let i(b) = 1013090*b**2. Determine i(v(j)).\nAnswer: 62309087360*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1967684*x**2 + 1807046.\nAnswer: -3935368*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 4, d: 1}. Give prob of picking 1 c and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 13342378?\nAnswer: 40027134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g - 17. Let x be q(2). Let n(r) be the first derivative of -1\/2*r**2 + r**x + 0*r**3 + 0*r - 1 + 0*r**4. Find the second derivative of n(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461144870?\nAnswer: 2, 5, 46114487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6974920 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/33 not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1238 divide 21955858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-11) + 28\/(-154). Suppose -31 = -m*g - 3. Solve 5*w + 4*l = 15, w - l + g = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -381.7 - -382. Put 0.5, o, 1\/7 in decreasing order.\nAnswer: 0.5, o, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132.67 - 132.57. Which is the closest to d? (a) 1\/6 (b) -46\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11592 and 22832698?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 17*s + 23*s - 950 = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -9*r + 22. Let p = 24 + r. Suppose 2*q + 15 = -5*z, 3 = -4*q - p*z - 3. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.2. Let r be -4 - (-1 + -1 - -1). Let k = -12291.6 + 12294. Which is the biggest value? (a) k (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7072*-5.84.\nAnswer: 41300.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -438.0831 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (20 + -24) - (1 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 16*d - 324. Suppose 751 + 140 = d*p. What is the remainder when 179 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175213 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35 (b) -2\/9 (c) 5 (d) 1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q + 2*n + 62, 3*n - 9 = q. Calculate the least common multiple of 0*(-4)\/q + 3 and -1 + ((-4)\/(-10) - (-96)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/(-30)) - (569726\/(-5476) + 110)?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -17.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/8)\/((-6)\/64). Let b be i\/44*(-1)\/(-2). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25608 + -487?\nAnswer: 25111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/(sqrt(2) + sqrt(8)*5)*5.\nAnswer: 15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 10*t**2 + 12*t - 49. What is the units digit of s(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2547808 + 52.2553908. Let h = l + -51. What is h rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 10:09 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 g when four letters picked without replacement from gzzgzg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + 7*u + (4*u - 3*u - 2*u)*(3 - 1 + 1))*(-2*u - 2 + 0*u + 0).\nAnswer: 4*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379797 - -380067.799. Let i = t - 260.29. Let n = i - 0.109. Round n to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128851\/14 - -9198. What is the common denominator of m and 133\/972?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 4. Does 7 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 112?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/3*169\/39. Suppose 6*j - z = -44. Calculate the highest common factor of 368 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let u(h) = h - 9. Suppose t = -t + 18. Let x be u(t). Which is the smallest value? (a) s (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 1395*g - 2770.\nAnswer: -5*(g + 2)*(g + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 848\/125?\nAnswer: 848\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445859 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 1753\nAnswer: 6310.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 206 = 165. Let c = a + 53. Suppose -3*q = -k + 12900004, c = -2*q - 5*k - 2311719 - 6288261. What is q rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -18*y**3 + 699*y**2 + 96324*y + 461895 = 0.\nAnswer: -53, -5, 581\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -170882*g. Let c(q) = 250*q. Give s(c(k)).\nAnswer: -42720500*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/10*-5*1*14394. Let k = -4952 + c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25*a + 28. What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - 11110110111?\nAnswer: -100000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/((v**0*v)\/v))\/v)*v*v\/(v\/(v**(-1\/2)*v*v)))**(-33))**39 assuming v is positive.\nAnswer: v**(-6435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4\/7, -2\/5, -491, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(12 - ((-11375)\/(-30))\/35)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(r**(-10)*r))**23*((r**4)**(2\/27))**(1\/9) assuming r is positive.\nAnswer: r**(8\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 47. Suppose 2*y - 6*q = -2*q + s, q = 3*y - 106. Let x(v) = -207*v + 11691. Let h be x(55). What is the greatest common divisor of y and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*v**2 + 30261 - 30261 + (-3*v**2 + 3*v**2 + 2*v**2)*(3 - 2 + 0) + (1 + 2*v - 1)*(3*v + 3*v - 4*v) + 2*v**2 + 4*v**2 - 4*v**2 + 2 - 2 - v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-2 - -2)\/(-2). Let p = -248 - -250. What is the third derivative of -3*k**3 + 157*k**2 + v*k**3 - 181*k**p wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {k: 2, n: 1, t: 1, x: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:49 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h = -37*h. Solve -5*v = -l - 16, h = 4*v + 2*l + l - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + s - 6*s + 3*s**2 - s + 7*s**2 + 58. What are the prime factors of o(7)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1357840992 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 7. Suppose 3*k = 4*d - 39, 3*d = -0*d + 2*k + 28. Let y(r) = 6*r - 21. Let w(z) = d*y(z) - 17*h(z). What is the units digit of w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:17 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4\/9, -1.3, 1, -1\/7 in decreasing order.\nAnswer: 7, 1, -1\/7, -4\/9, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6320*a = 6289*a - 217 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = -4*t - 36, 3*t = -a - 5. Suppose a*q + 6 = -2*c, 0 = -4*c - 2*q - 0*q - 6. Let m(h) = h**3 - 2*h**2 - 2*h - 1. Give m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6256.007751914 less than 0.3?\nAnswer: 6256.307751914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 3*k**2 - 3*k + 18*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 3, a: 1}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btgtb. Give prob of picking 1 g and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6 + 4. List the prime factors of (57 - 12) + (-2)\/d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Let t be (-252)\/(-60) + (-8)\/(-10). Let d = -1 - -6. Solve 8 = x + 2*v, x + t*v = n*x + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54395617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.042411l to millilitres.\nAnswer: 6042.411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.02 + 0.02. Suppose i = z - 10, -5*z - 5 = i + 29. Let r be (-4)\/i + 30\/(-7). What is the closest to c in r, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 3*z**2 + 10*z + 8. Let u be r(-3). Let l = 10 - u. Solve c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 366 + 72a83?\nAnswer: 73229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -331024313 (base 6) to base 15\nAnswer: -7c1a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 3. Let k be (-3)\/(-3) - -7*(-1 + 3). Suppose -o - 4*x = k, 2*o + 4 = -x - 5. What is v(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1803*n + 36060. Let b(q) = 12. Determine -6010*b(p) + 2*v(p).\nAnswer: 3606*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433276197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 6*v + 6. Suppose d - 2*d + 4 = 0. Let g be l(d). Let a(k) = 4*k. Determine a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b8161 (base 15) to base 6\nAnswer: 44444114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, t: 7}. What is prob of picking 2 t and 2 u?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose -3*q + 12 = -2*i - 3, -19 = 2*i + q. Let s = i - -4. Sort 2, s, j.\nAnswer: s, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541205645 is divided by 4776.\nAnswer: 4773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 341242?\nAnswer: -341242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.4447487 seconds to minutes.\nAnswer: 0.024079145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9120 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7127\/88 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99133971 is divided by 4720665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19716048 by 3.\nAnswer: -6572016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4\/7 + 3131164*q**3 + 65754408*q**2\/7.\nAnswer: 4*q**2*(q + 3)*(q + 5479534)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -19*b**3 - 3*b**2 - 26*b - 3. Let f(h) = -h**2 + h - 1. Let k(p) = 3*f(p) - i(p). Find the second derivative of k(j) wrt j.\nAnswer: 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1007 minus -159.8?\nAnswer: 159.6993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 24. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/6)\/(3\/279)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3922499 to 3 dps.\nAnswer: 4.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbubbuuuwbwbw. What is prob of picking 1 u and 3 b?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8 - 46*o**3 + 2*o - 3*o + 45*o**3. Let r = -3 - -3. What is t(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25*o + 25*o - 9 - 52*o. Suppose 2*y + 26 - 10 = 0. What is the units digit of r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 178020\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -8 (d) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -85 + (40 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhsh when four letters picked without replacement from {h: 5, f: 5, b: 1, s: 4}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 5\/2, 0, 0.08, 23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21387916 and 14096581?\nAnswer: 620249564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112.5 - -112.3. Which is the smallest value? (a) 81 (b) -1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from {w: 5, c: 7, u: 2, m: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2580 (b) -2546\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 35 + 37 = 0. Let w = 37 + o. Let z = w - 6. Calculate the remainder when 18 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 545*i + 2*i**2 + 10 - 560*i.\nAnswer: 2*i**2 - 15*i - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)\/sqrt(3) - (sqrt(384)\/sqrt(8))\/sqrt(3))\/((sqrt(1944)*-2)\/(sqrt(27)*1 + sqrt(3) - sqrt(3))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 8) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**5\/9 + 20*a**4\/9 - 56*a**3\/9 - 16*a**2\/9 + 256*a\/9 - 256\/9 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 + 3*h - 6. Let i be m(-6). Suppose i - 2 = k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 31 + 23)*(2*x**4 + x**3 - x**3) - x**4 - 9*x**4 - 2*x**4.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - -6) + -5)\/2. Solve -4*n = -4*o - n + j, -o + n = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16872, -16929, -16986, -17043?\n\"Answer: -57*i - 16815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1\/3*g**3 + 1\/3*g**4 - 10*g - 5\/2*g**2 + 1\/20*g**5 + 21. Let s(z) be the first derivative of r(z). Determine s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 29*f + 26*f - 78, 4*l - 15*f - 303 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-77 - -63 - (-28 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 455189657*y**3 - 1944*y - 10841.\nAnswer: 2731137942*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from {x: 2, e: 2, q: 4, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 4*o + 4*c, 4*o - 39449*c - 85 = -39444*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f**2 + 71*f**2 - 13*f**2 + 30*f**2.\nAnswer: 131*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21*s + 20. Let m(k) = k. Let a(i) = 7*i - 2. Let t(f) = 2*a(f) - 10*m(f). Suppose 254*h - 236*h + 198 = 0. Calculate h*t(z) - 2*j(z).\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3943 is divided by 93.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlv. Give prob of picking 1 v and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 741 + -741. Let n = -0.08 + 0.38. Let s = -0.1 - n. What is the third smallest value in s, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0\/i**(-1)*(i**(1\/2))**(2\/45) assuming i is positive.\nAnswer: i**(46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 4108.75.\nAnswer: 8217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k**2 - 25*k**2 - 12*k**2 + 58*k**2. Let a(s) = -s. Let p(v) = 8*v. Let m(x) = -51*a(x) - 6*p(x). Calculate d(m(b)).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*q - 7*q + 40, 32 = 4*q - 2*b. Solve 3*p - q*p = i - 18, -6 = -i - 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096183 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737604 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(15)\/(sqrt(60)\/(2*sqrt(12))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 3*b. Solve -d - 3*p + 1 = b*d, -15 = 3*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(304)*-1 + 4 + -5 + -4 + (sqrt(304)*2 + sqrt(304))*-5 + -5 + sqrt(304) + 0 + sqrt(304))**2.\nAnswer: 1360*sqrt(19) + 87956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80004 (base 9) in base 7?\nAnswer: -306016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 770 and -53?\nAnswer: -40810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 13 (b) 1.7 (c) 12 (d) 1 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4*g + g)*(0 + 2 + 0) - 2*g + 2*g - 3*g + (1 - 6 + 4)*(-5*g - 9 + 9) in the form s*g + h and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.34. Let y = -0.7 + 0.66. Let s = y + p. What is the closest to s in 1\/5, -2, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1455154 - -2510?\nAnswer: 1502104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3210 = -4*n + 7*n, -8*n + i = -8511. What is the remainder when n is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2*198\/23760.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1933888429994 - 0.8\nAnswer: -0.6066111570006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848230 divided by -3002?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(833) + -1 + -2 + 3*(sqrt(833) + (2*sqrt(833) - sqrt(833))).\nAnswer: 2 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9729 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -749\/1265 - 2\/253. Let b = 0.3 - 1.3. What is the closest to b in o, -2\/9, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 1 - 1)*(8 + 0 + 7) - 2 - 1 + 4 + 15 - 14 - 7)*(2 - 2 - x) to the form u + s*x and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14243197 and 314.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 756*s + 31. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 120092168693?\nAnswer: 120092168692.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 25*n**3\/3 - n**2\/2 - n - 2. Let q be u(-1). Calculate the greatest common factor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7783 and 7563313.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 4033?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9605 + 9604.7293. Round c to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*g - 25, -5*g + 22 = 2*d - g. Let u(i) = 32*i - 13. Is u(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.515, -1.3, -0.4, -1\/3, 0.1?\nAnswer: 0.515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 241*k**2 + 1510*k - 42. Give t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**0\/u*u*(u*u\/(u\/u**(-5\/6)*u))\/u*u*(u*u**(-4))\/(u\/(u\/((u*u**(-1\/5)*u)\/u)*u)) assuming u is positive.\nAnswer: u**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -181*i - 26. Let l(u) = 12*u + 43. Let x be l(-4). What are the prime factors of r(x)?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.01498 and 0.4.\nAnswer: -7.205992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99218, 99219, 99220?\n\"Answer: m + 99217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*g**3 - 472608070*g**2 + 171857420*g - 15623400 = 0 for g.\nAnswer: 2\/11, 781170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5\/5 + 1209*k**4\/5 + 119982*k**3\/5 - 73446*k**2 + 369663*k\/5 - 123627\/5.\nAnswer: 3*(k - 1)**3*(k + 203)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-2) - (10 + -9). Let k = g + 4. What is the remainder when 77 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or 66?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 85 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -119219, 0, -49, -4, -2 in descending order.\nAnswer: 0, -2, -4, -49, -119219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 23. Let o be n(-6). Suppose 56 = 4*u - 0*p - 3*p, o*p = 5*u - 65. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.372 times -0.3\nAnswer: -0.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, m: 7}. What is prob of sequence mm?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 + -3?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*d = 2*r - 7, 0 = 5*r + 2*d - 17. Let p(h) = 0 - 14*h + 1 - 2 - 14. Let m(f) be the first derivative of 5*f**2\/2 + 5*f - 1. Give r*p(k) + 8*m(k).\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13332111002 (base 4) to base 3.\nAnswer: 10221012100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1056 divided by -264\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -29*q**2 - q. Let m(x) be the third derivative of x**4\/3 - 1598*x**2. What is m(c(w))?\nAnswer: -232*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -53195491505725.\nAnswer: -53195491505725.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2383*k - 4709. Determine n(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1431556 (base 7) to base 5\nAnswer: 22131314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12287808 and 15444.\nAnswer: 135165888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 55*h**2 + 27*h - 30. Let b be m(3). Is b < 549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 2. Let h be b(-3). Let x be (h\/((-105)\/(-12)))\/((-2)\/10). Calculate the remainder when (1 - 0)\/(4*x\/1952) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1015410 and 27874?\nAnswer: 7107870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304006.\nAnswer: 2, 11, 59273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -242?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 796, 825, 868, 931, 1020, 1141, 1300, 1503?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/151552 and -97\/2749248.\nAnswer: 175951872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*c*c**(-2\/13))**(9\/4)\/(c\/(c\/c**(-2\/3))*c*c**(-8\/7))**18 assuming c is positive.\nAnswer: c**(4227\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 722.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 2\/15, 31\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*i + 43*i - 7*i + (4*i - 5*i + 5*i)*(-5 - 1 + 4) + (1 + 5 - 3)*(-2 + 3 - 3)*(i + i - i) to d + z*i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/5, 549 in ascending order.\nAnswer: -1, 3\/5, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 2 b when four letters picked without replacement from {f: 1, y: 1, e: 1, b: 1, m: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 17*r**2 - 8*r + 12. What is the tens digit of z(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 254526 - -123?\nAnswer: 254651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) -2\/515 (b) 0.5 (c) 4\/7 (d) 0.03 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3964*x - 397?\nAnswer: -3964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496374 divided by -2?\nAnswer: -748187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 336253*n + 24. Suppose -h - 3 = -3*p - 4, 3*h = p + 19. Let c = h + -15. Let r be y(c). Round r to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 5. Let c(f) be the first derivative of 0*f**2 - 2\/3*f**3 + 0*f + 53. What is r(c(b))?\nAnswer: 4*b**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 + 5*o - 7. Let y be n(5). Let t = -9.78 + 9.48. What is the closest to -3 in y, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24254, 48509, 72764, 97019, 121274?\nAnswer: 145529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22283 (base 9) to base 15\nAnswer: -45cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -35)\/((-2)\/8). Suppose 0*n - 4*n = -c. Is (-273)\/(-5) - (-12)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000532807 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -630869127.\nAnswer: 630869126.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2089, 8369, 18835, 33487, 52325, 75349, 102559?\nAnswer: 133955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430 - -169. Let l = m + 260.9. Let g = -0.2 - -0.3. Which is the closest to g? (a) l (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29596 divided by -14798?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 - l - 3*l**3 + 3 - 4 to the form f*l**2 + z + i*l**3 + q*l and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/8 + 165*v - 3325\/2 = 0.\nAnswer: -1330, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*g = 71, 0 = 3*m + g - 54 - 4. Let x = m + -19. Suppose x*p + 53 = p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (4*(sqrt(2299) + 2*sqrt(2299)) - -5*(sqrt(2299) - sqrt(2299)*2))))**2.\nAnswer: 4928*sqrt(19) + 1802480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2385476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - -1 - (2 - 7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 2*u - 3*u + 0*u + 3*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -46*u**3 + 3*u - 2. Suppose -2*v + 5 = 4*b - 3*v, -b + 2*v = -3. Calculate h(b).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/214592 and -47\/7725312.\nAnswer: 7725312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*q + 21, 1 = -2*q + 3. Let u(h) = h**3 + 8*h**2 - 4*h - 10. Does 11 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34540?\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 5) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + (sqrt(324) + 3*sqrt(324))*-6)\/(-1*sqrt(2)*5 - sqrt(2)*2*6).\nAnswer: 207*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10785 + -97022\/9. Calculate the common denominator of -74\/399 and k.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**5 - 67337461*b**2 + 633653102*b.\nAnswer: 100*b**3 - 134674922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - i = -2, 3*v = 2*i - 4. Let s = 10 - v. What is the least common multiple of s and 1 + (-75)\/15 - (-1 + (2 - 8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4823 = 10*b - 4873 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593373 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -8. Let l(k) = -k**2 + 13*k + 9. Let n be l(h). Suppose 3*y = -0*y + n. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19199+483658\nAnswer: 502857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsw when three letters picked without replacement from tswwisswowsootto.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 540089*c**5*u**2 + 389*c**2*u**2 + 138*c*u**2 wrt c.\nAnswer: 32405340*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:05 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and -224?\nAnswer: 806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 9 = 3*x. Suppose z = l + 4 - x, 3*l = -4*z + 18. Suppose 0 = z*s - 2 - 19. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -94, -90, -84, -76, -66, -54?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14362 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 1\/6 (b) 2 (c) 0.06 (d) -0.097 (e) -13 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1423 - 0.1423. Which is smaller: x or -78\/7?\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 99\/(-27) + 4\/6. Suppose 4*p - 3*b - 88 = 44, -a*p - b = -76. Suppose 0 = c - 0*c - 9. Calculate the highest common divisor of p and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -4. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*q + 1\/6 + 2\/3*q**2.\nAnswer: (q + 1)*(4*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657420557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 894537 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*a - 5*r + 24, 3*a - 9*r = 21 - 54 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.151098 decades to years.\nAnswer: 61.51098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 7*s**2 - 3. Calculate f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -8*m**3\/3 - 5*m**2 - 15. Find the second derivative of d(a) wrt a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 598, -5, 1, -82 in decreasing order.\nAnswer: 598, 1, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 64 = 19. Suppose 5*t + 5*d = -h, t + 2*t - 4*d = 26. Suppose -a - 73 = -z - 0*a, -t*a - 214 = -3*z. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) + 49\/(-6). Which is the third smallest value? (a) 5\/2 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*o - 4 + 105*o - 113*o - 303 wrt o?\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 23*u - 23. Determine i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 20 + 13 = -7. Put 4, x, -17, -6, 2 in increasing order.\nAnswer: -17, -6, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:06 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*((2*sqrt(110) - sqrt(110)) + sqrt(110))*5)\/(-5*-3*(sqrt(10) + -2*sqrt(10))) + 3)**2.\nAnswer: -20*sqrt(11)\/3 + 1109\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2571*y + 7716*y - 2571*y - 2576*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -54. Solve h + i + 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2\/3 (c) 1294 (d) 0.3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11501343 (base 6) in base 7?\nAnswer: -3052353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15019, -70300, -220355, -512572, -994339?\nAnswer: -1713044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -7053?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 22. Let x be v(7). Let u(a) = -1208 + 1208 + x*a. Let t(g) = -588*g + 1180*g - 589*g. What is t(u(d))?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13808 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6606*d**3 - 3*d**2 + 1260*d + 2 wrt d?\nAnswer: -39636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 326 - 103. Let m = -2654 - -2688. Calculate the remainder when i is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078715 * 936\nAnswer: 73.67724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 5*a**2\/2 - 12. Let j(u) = 5*u**2. Give t(j(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/x**0*x*x)\/x))**(1\/27)*(x*x**4*x)**(-33) assuming x is positive.\nAnswer: x**(-5348\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q - 2. Suppose 0 = 7*p - 2*p + 5. Let w(c) = -1. Let m(f) = p*x(f) + 2*w(f). Let a = 815 + -814. What is m(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -1\/3*f**3 + 2 + 2*f**2 - 5*f. Suppose 5*p - 15 = -y + 13, 22 = -y + 5*p. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1092 + 0.4.\nAnswer: -1091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/7 + 7198*t**2\/7 + 3520350*t\/7 - 3527550\/7 = 0. Calculate t.\nAnswer: -3015, -585, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3216647 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*g - 4 = 3, 4*g + 6 = -2*k. Let f be (-168)\/(-32) - k\/4. Suppose -f*z + 81 = 1. Solve 2*l = -5*a - z, 17 - 2 = -3*l - 3*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562 + -439. What is the remainder when h is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/4)\/((v**1\/v)\/v)*(v**(-4\/13)*v)\/(v*v**(-12)\/v) assuming v is positive.\nAnswer: v**(777\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -415 + 440. What is the greatest common divisor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 5 - (sqrt(17) - (0 + sqrt(17)))*-1 - ((sqrt(153)*-2 + 0 - sqrt(153)) + 4*3*sqrt(153)))**2.\nAnswer: -190*sqrt(17) + 6162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2072*h. Let v(m) = -m. What is v(j(w))?\nAnswer: 2072*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*f - 15, -4*f + v = -6*f + 1. Let h(n) = -n - 6 + 1 + 2 - f. Determine h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 8) in base 2?\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + c + 2*c)*(-4*c + 4*c + 2*c + (2*c - 2*c + 2*c)*(3 - 4 - 1) + 1 + 3*c - 1) - 1 - 3*c**2 + 1 in the form r + s*c + t*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38436 + -1?\nAnswer: -38437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -437697, -437699, -437701, -437703, -437705?\n\"Answer: -2*q - 437695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 2 = -36. Solve l = 5*l + 5*q + 11, 2*q = j*l - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 0*r**3 - 2*r**3 - 7*r)*(3*r - 2*r - 3*r + (-3 + 1 + 0)*(2*r + 0*r + 0*r) + 2*r - 4*r + r).\nAnswer: 14*r**4 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(2*l - 2*l + 2*l) + (-3 + 0 - 6)*(-2*l + l + 3*l) as s*l + w and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -80. Let x = -11 + r. Do x and 11 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41996 = 2*c - 3*f, -4*c - f - 3*f = -83992. Round c to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:03 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1100101101010101110?\nAnswer: -1100101101010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v. Let s(a) = 175*a + 2244. Calculate the remainder when s(-11) is divided by p(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12908*b**2 + 6467*b**2 + 6463*b**2. Let d(n) = -29*n. Determine q(d(k)).\nAnswer: 18502*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32304 (base 6) in base 16?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757856 is divided by 717?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/234 and 77\/3355014?\nAnswer: 10065042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, e: 4}. Give prob of sequence en.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 308, 302, 294, 284?\n\"Answer: -r**2 - 3*r + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 - 36*c**3 - 1904*c**2\/3 - 4608*c - 35840\/3 = 0. What is c?\nAnswer: -28, -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964800352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 40*t. Let q(a) = -2029139*a. What is q(y(p))?\nAnswer: -81165560*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 7*d + 3. What is v(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 362 = 3*j - 4*j, j - 4082 = 5*k - 4170 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -58. Let k = -25 - -35. Sort k, d, -1\/4 in descending order.\nAnswer: k, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 77, 133, 201, 275?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -987 + 10855\/11. What is the nearest to -2 in p, -4, 9, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2847 - 2846.995034. Round u to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -28*j - 2*q + 173, 5*j + 0*q + q - 293 = 0 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = 0, -4*b - b + 112 = -v. Suppose -b*t + 62 = -7. Find the third derivative of 3*r**t + 2563*r**2 + 0*r + r - 2547*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f - 2. Suppose -19*g = -21*g - 2. Let z be j(g). Solve 0 = 2*p - 4*v - 6, 3*p + 5*v + z = -17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((d + 0 + 0)*(4*d**2 + 0*d**2 - d**2) - 18 - 29*d**3 + 18)*(0*d + 0*d - d) in the form f*d**3 + k*d**2 + j*d**4 + h*d + z and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59261466 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 7:46 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 8*g**2 - g + 9. Let x be t(8). Suppose c = 4*r + 10, -5*r - 12 = -18*c + 17*c. What is the fourth smallest value in x, -0.08, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 6*h**2 + 10*h - 15. What is the remainder when 52 is divided by j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*l - 3 = 5*b, -5*l - b = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k - 92. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1}. What is prob of sequence umu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 0 (b) 3.064 (c) -4 (d) 1\/5 (e) 21 (f) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 238*b**2 - 5139*b + 637. Determine t(214).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 4*q = -11*w - 16, -4*w - 3*q + 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(18\/12 - 6) - (-8)\/30. Is x greater than or equal to -3\/284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262*t - 262*t + 10*t**2)*(8*t**3 + 0*t**3 + 2*t**3) + t**4 - t**5 - t**4.\nAnswer: 99*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 41687*x**2 + 65 + 41644*x**2 + 97 as t + m*x + u*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 23. Let r = -5992.9 - -5993. What is the nearest to r in h, 3, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 26. Put 0.3, -0.05, k in increasing order.\nAnswer: k, -0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -297258*t - 64. Let x be b(-8). Round x to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from cpcpppccppcc?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let t(z) = -331*z**2 + 215*z. Calculate t(o(r)).\nAnswer: -1324*r**2 - 430*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.88 + 77. Let w = 1.38 + y. Let r be 65\/(-39) - 2\/(-1). Sort w, -6, r, 2\/7 in descending order.\nAnswer: r, 2\/7, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - t**3 + 14*t**3 - 9*t**3)*(-134 + 44 - 149).\nAnswer: -956*t**3 - 478","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60, 12821.\nAnswer: -60, -1, 12821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-31)*p)**(7\/3)\/(p**27*p**(-8)))**(-7\/11) assuming p is positive.\nAnswer: p**(623\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 860*n - 9457. Give m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, -216, -218, -210, -186?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-36))\/((-45)\/(-81)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from ddidzimddidiiddizd?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 + 757. What are the prime factors of g + (-10)\/(-4)*8\/(-5)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) + 3 + -4) - ((2 + sqrt(2299) - sqrt(2299)) + 5))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34c + -b3?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4baa25 (base 12) to base 6\nAnswer: 42342445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/13)\/((59\/413)\/(1\/(-7)*-3)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**2 - 4*p**2 + p - p + 2*p**2 + (-1 + 0 - 2)*(p**2 + 0*p**2 - 2*p**2).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - 12. Let w be (0 + -2)\/(-7 + u\/(-24)). Calculate the greatest common divisor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6*k = 3*w, k + 2*k = -2*w + w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {v: 2, h: 11}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -985 divided by -1\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -104, 3\/4, -0.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -89*r**2 + 995. Let v(b) = b. Calculate n(v(t)).\nAnswer: -178*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 219\/(-12) - (-3)\/12. Let r = d - -19. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*o - 146, -o = 4*o + 10. Let x = b + -32. Suppose x*a - a = 252. Is 42 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.99928 - 21. Round b to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 16*t - 25. Suppose 5*a = -4*h - 27 - 50, -25 = 5*a. Let d be k(h). What is the greatest common divisor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3575.2 to the nearest 10.\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*g, -27*v + 22*v = 2*g. Suppose -19 = -5*k + 4*k + 5*j, 3*k - 2*j = 18. Put 2, k, v in descending order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - s**2 + 3*s + 20. Let w(m) = -3*m**3 + m**2 - 4*m - 19. Let i(j) = 4*b(j) + 3*w(j). Let k be (2 + -2)*(-1)\/(-2). Is 15 a factor of i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2161502659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 - 185. Let d = 162 + -154.3. Let a = 8 - d. What is the nearest to a in w, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let n = 3 + m. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -180. Let m be (-1)\/5 + i\/210. Let c be 0 + 2\/(-3)*1. Put c, m, -1\/3 in descending order.\nAnswer: -1\/3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4684888*o**3*u*v**2 - o**3*v + 17*o**2*v**2 + 177*o**2*v + 7*v**2 - 1 wrt u.\nAnswer: 4684888*o**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38757492791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3 + 0)\/((-8)\/60). Let v be ((-6)\/(-18))\/((10\/4)\/f). Sort -4\/3, v, 2\/9, -0.3 in descending order.\nAnswer: 2\/9, -0.3, v, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 185. Let p be o(0). Suppose 4*b - 3*l - p = -0*l, 3*b + 3*l = 165. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -781663398283\nAnswer: 781663398282.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-198)\/(-2) - (-10 + 9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1811 - -1816. Solve -3*n = -3*j + 12, -13 + a = -4*j - 4*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 1217\/24. Let o(d) be the third derivative of 0*d**3 + f*d**4 - 1\/40*d**6 + 0*d + 0*d**5 + 2*d**2 + 0. Find the second derivative of o(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35331995 + -0.0457?\nAnswer: 2.30761995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5066 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 + x**4 - 17*x**2 + 44*x**3 - 2*x + 1 + x - 17*x**2 + 50*x**2 in the form y + t*x + l*x**3 + o*x**4 + h*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*g**2 + 1 - 5*g**2 + 6*g**2 + 8*g**2 + 5*g**3 - 44*g**2 + 10*g as j + k*g**3 + t*g + h*g**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 611*x - 275. Is u(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - w**2 - w**2 + (-1 + 2*w + 1)*(3 - 2*w - 3) + 3*w - 3*w - 2*w**2 + 1 - 1 - 2*w**2 + 7*w**2 + 8*w**2 - 6*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20777 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6 + 2*s**2 + 13 + 15. Let m(i) be the third derivative of -2*i + 0*i**3 - 1\/60*i**5 + 59*i**2 + 0 + 0*i**4. Calculate m(j(y)).\nAnswer: -4*y**4 - 88*y**2 - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*o = 3*z - 4, 9 = 3*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -237*f**2 + f + 7. Let j(y) = 480*y**2 - 2*y - 16. What is 7*b(t) + 3*j(t)?\nAnswer: -219*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2*(-26684280)\/(-900) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 28. Suppose 0 = 4*v + 4*o - g, -v + o + 0*o = -23. Let n = 6 + 2. What is the lowest common multiple of v and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 4*y**2 + 5*y - 2. Let l be f(4). Let z(h) = 2*h**2 - 3622*h - 7 - h**2 + 3588*h. Let v be z(35). Solve -2*k = k - g + l, -5*k = -g + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29909933 is divided by 4192?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -53*-0.3\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 6*a + 45. Let p(j) = -40*j + 69. Let g be p(2). What is r(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from tsrbrrrrsrbrrrrtrr.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 116*h + 30 + 108*h + 11 - 238*h. Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21351214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*l + 11. Let o = -4 - -6. Suppose f - o*f = -l. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:17 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 + 235458*m - 187975892 = 0. What is m?\nAnswer: -118522, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*x - 1109 = -3*z - 1548, -3*z + 17 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 - g**2 + 3*g + 2. Let w(x) = 4*x**3 + 2*x + 1. Let s(b) = -6*w(b) + 5*z(b). Let l be s(3). Let k(h) = h + 9. Calculate k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*d + d + 18, 0 = -3*r + d - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10.00272. What is l rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbvsssvvb. What is prob of sequence ssvs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21\/8, 3, 0.3, -0.05?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 + -177 + (-3 - -29)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bwbmdwdbdkik?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 0*o**3 + 1 - 3*o**3 - o**3 + 4. Let b(r) = -5*r**3 + 3*r**2 + 6. Suppose 5*z + 15 = 2*z + 3*g, 3*g = 2*z + 10. Calculate z*b(u) + 6*x(u).\nAnswer: u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.112896 - 35.2. Let g = -1.05710365 - p. Let b = g + -0.03. Round b to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/(-11)*6006\/117?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 3*f - 9, 1 = 2*c - f. Suppose 3*b = 8*b - 30. List the prime factors of -1 + (c - (-1 - b)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1258 and -1240.\nAnswer: -1240.1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.0399 * 0.1\nAnswer: 0.20399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*w + 5)*(0 - 2 + 4)*(-w + 0*w + 4*w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18413.56 millennia in centuries?\nAnswer: 184135.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.89 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-66)\/(-15)*2 - 2\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -626.48 + 608. Let s = -22.6 - z. Round s to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*x + 35, -252*p + 253*p + 3*x = -17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2177 * 0.14.\nAnswer: -304.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -31*j + 170. Is y(-10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1957 + 4?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9.58 - 6665\nAnswer: -6655.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - c + 19, 2*m + 3*c = c - 26. What is the fourth smallest value in -3\/2, -3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*m + 33 - 31, 0 = 3*f + 2*f + 3*m + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5062 = -18*x + 4918 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024232 - -342?\nAnswer: -2023340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 93*g - 303*g + 96*g + 102*g. Determine w(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 2\/17, 10, 29?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - -7 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -6. Suppose 4*y - 11 = -h, -5*y + 5 = h - o. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1874 = -5*j - 2*r, 3*r - 1128 = -3*j. What is the remainder when 118 is divided by 8\/18 + j\/9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0325629222 - 87221?\nAnswer: -87221.0325629222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09253300226 rounded to 6 dps?\nAnswer: -0.092533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3187 + -1081. Calculate the lowest common multiple of 2 and n\/66 - (-2)\/22.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-1)*-398 - 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*x**3 - 1365*x**2 - 720*x - 100 = 0.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 4*s - 7 = 5, 0 = -5*y + 4*s - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 31, -513 in decreasing order.\nAnswer: 31, -4, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9423)\/(-172755))\/(((-28)\/(-160))\/7)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779732 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b + 3. Let w be m(-7). Suppose -1 = p + 3*x, -p = -x - 0*x - w. Find the third derivative of -2*r**4 + 6*r**4 + 2*r**p - 2*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17780595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 11*i - 26*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -60) + (1 - -1) - 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 + 5*x + 3. Give c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-21*l**5 - 67*l**5 + 26*l**5 + (-3*l + 3*l + 2*l**2)*(-2*l**3 - 4*l**3 + 4*l**3)).\nAnswer: 132*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {k: 15, w: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(76)\/(2*sqrt(4) - sqrt(4))) + (sqrt(19) + sqrt(475) + -2)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:35 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/3 of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 41*m + 312 + 274 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.40039 + 6.4. What is b rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 452 + -446. Solve t*r = 5*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1395\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 90\/7 (b) -16 (c) 0.6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -522 - -540. Suppose 48 = 24*a - n*a. Solve -3*z - 5 = -a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11522.97 + -11775. Let y = r + 246. Let d = 6 + y. Round d to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4210 - -4205. Let t be 2\/(-4)*6*1. What is the third biggest value in -2\/7, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758142 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -0.082573078721.\nAnswer: -0.182573078721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 40. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 10:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 693, 1168, 1639, 2106?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-2\/3)*h)))**46*h**(-1)*h**6)\/(((h**(2\/3)*h*h)\/h)**(-7\/2)*((h**(1\/2)\/h)\/h)**30) assuming h is positive.\nAnswer: h**(427\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 420 + -187?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434 + 15543*a**2 - 15544*a**2 + a + 333*a**5 - 3*a + 176*a**5 wrt a?\nAnswer: 10180*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21427446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19030)\/(-50) - 4\/(-10). Suppose -l = -2*r - r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l + 2517 - 2181 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/4)\/((-21)\/(-28)). Suppose 4*s - 3*l - 33 = -c, 0 = -l - 5. Find the second derivative of s*p**3 - 9*p + 3*p + 3*p**3 wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20\/21 + -1199\/42. What is the common denominator of g and 54\/4*3\/(-90)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3366 and 20944?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)*w*(w\/w**(1\/4))\/w*(w\/w**(2\/19))\/w**(-1\/6)*(w*(w\/w**(-1))\/w)**(-3\/13)\/(w**(2\/19)*w*w**(3\/8)\/w) assuming w is positive.\nAnswer: w**(709\/5928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100020102 (base 4) to base 12.\nAnswer: -32296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*o**3 - 104*c*o**2 - 2959*c*o - 2*c + 3*o**3 + 149*o**2 + 13*o - 37 with respect to c.\nAnswer: -o**3 - 104*o**2 - 2959*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 706, 1237, 1974, 2917, 4066?\nAnswer: 5421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19488 = 2947*v - 1897 - 116842 - 56275 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 803833 (base 13) in base 2?\nAnswer: 1011010111001000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*d - 3 = 2*d, -l + d = -7. Let n(s) = 149*s + 27. Let z be n(-7). Is ((-2)\/l)\/(4\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**8\/1680 + w**6\/30 + 4*w**3 - 9. Let i(j) be the third derivative of s(j). Find the third derivative of i(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -1, 0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394941.\nAnswer: 1394941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7058 + 29*z**2 + 13*z - 5*z**3 - 16*z**2 + 7058 as j*z**2 + v + c*z + n*z**3 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1064, 2130, 3196?\n\"Answer: 1066*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -22. Let j = c + 7. Let l = 0 + 0. What is the nearest to l in -1, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 491*4\/7 + (-180)\/315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37806647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, h: 4, s: 5}. What is prob of picking 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-11)*m**12)**(1\/3))**3 assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 546*a**4 + 14*a**3\/3 - 15*a - 659. Find the third derivative of p(v) wrt v.\nAnswer: 13104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-235))\/(6\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 4*v**3 - 3*v**3 + (0 - v**2 + 0)*(1 - 2 - v - 3) - 3*v**3 + 0*v + 0*v to the form s*v**3 + l*v**2 + u*v + g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*j*l**2*u**2 + j*l*u**2 - 522*j*l*u - 61*j*u**2 - 2*j - 2351*l**2*u**2 - 4*l**2*u + 2*l wrt l.\nAnswer: -76*j*u**2 - 4702*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 2, m: 2, q: 1, f: 1, k: 1}. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b. Solve m = -2*n - 3, -2*m - 4 = 3*n - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/13 + 868*w**2\/13 + 96728*w\/13 + 549552\/13.\nAnswer: 2*(w + 6)*(w + 214)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -4, 193 in increasing order.\nAnswer: -4, 2, 10, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b - -70792?\nAnswer: 707cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175, 218, 289, 388, 515, 670?\n\"Answer: 14*u**2 + u + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 3, -6, 0 in increasing order.\nAnswer: -6, -3, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*4\/(24\/(-45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/270 and 85\/486?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2082721 + -2082758.31754. Let q = -37.3 - o. What is q rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9714 (base 11) to base 5.\nAnswer: 402331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*z, 4 + 4 = 2*z. Factor 20*u**4 + 3*u**2 + 938*u**3 - 963*u**g + 2*u**2.\nAnswer: 5*u**2*(u - 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000010100111101?\nAnswer: 1000010100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -313*x**2 + 2. Let a(h) = -86*h + 41*h + 47*h. Give p(a(b)).\nAnswer: -1252*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/56*2\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)*m)\/m**(-18) assuming m is positive.\nAnswer: m**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - w - 23 + 20)*((-2 + 4 - 1)*(-4*w + 2*w - 5*w) - 7*w - 4*w + 2*w).\nAnswer: 16*w**2 - 544*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 131800 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 5:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034360?\nAnswer: 2, 3, 5, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*l + g - 5*g - 120 + 47 = 104, -2*l = -g - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 2 - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -2\/841, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(10\/(-40)). Suppose -2*d + 4 = -0*d. Find the first derivative of 1 + 2*k**2 + d*k**t + 0*k**2 - k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n. Let m(h) be the third derivative of h**5\/15 - 11*h**4\/6 - 1893*h**2. What is w(m(o))?\nAnswer: -44*o**2 + 484*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 37*h. Let m(f) be the second derivative of -f**3\/6 - 17*f - 1. Determine m(v(n)).\nAnswer: -37*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (6 - 2) - (17 - 5 - (-4 + 15))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 656.9, -292\/3 in decreasing order.\nAnswer: 656.9, 0, -0.1, -292\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10497555, 10497549, 10497543, 10497537, 10497531?\nAnswer: 10497525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n + 2*l, 2*l = n - 4*n - 2. Let v(o) = -o**3 - 3*o**2 + 1. Let r be v(-3). Suppose 6 = b + r. Solve -4*i - b*m = 4, 2*i - 4*m + 2 = -n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 y when three letters picked without replacement from {e: 1, y: 7, m: 1, p: 6}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 - 79 - (115 - 0).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + 244. Is 270 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 + 42\/6. Let i(y) = 7*y**2 + y**2 + u*y**2. Let p(o) = 2*o**2. Calculate i(p(d)).\nAnswer: 56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -467798?\nAnswer: 11\/233899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.79 - 39. Let g = 4.21 + i. Let h = -0.2 - -0.1. What is the closest to 1 in 0.1, h, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2\/2 - 6*m + 2. Let a be l(6). Suppose a = -7*z + 10*z - 39. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*r + 12, -8904 + 8954 = 7*r + r + 5*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46029702 - -380240?\nAnswer: 380240.46029702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 3. Let j(i) = -12*i + 15. Let w be j(-8). Let p = w + -69. Calculate the remainder when p is divided by r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 3*(-1*sqrt(125) + -1)**2)*-2.\nAnswer: 240*sqrt(5) + 3032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 380*u**3 - 4*u**2 - 5*u + 10. Let m(g) = 570*g**3 - 5*g**2 - 7*g + 14. Calculate 5*m(b) - 7*r(b).\nAnswer: 190*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -639 equal to -865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710\/23075*(-60)\/(-16).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((6 - -1)\/(-28)). Suppose -159103 = s*i + 332897. What is i rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (2 + 17 - 27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, -1\/4293, -48 in descending order.\nAnswer: 0.3, -1\/4293, -2\/3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164\/6 - ((-46)\/6 - -8) and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*t - 325 = 273, 5*o - 4*t = 3014. Is 17 a factor of -6 + 2 + o + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/((-7)\/((-49)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 36. Suppose 3*r - 37 = -3*s - 2*r, 3*s = -o*r + 22. Solve -s*d - 4 - 8 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 - 52*j**4 - 112*j**3 = 0 for j.\nAnswer: -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -22) + 693 + -730.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + f - 1. Let s(z) = z + 10. Let j be s(-7). Let a = j + -5. What is the remainder when w(a) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.099553 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/15 + 164*f**4 + 161376*f**3 + f**2 + 147. Let b(t) = 0. Calculate t.\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.9930149 minutes?\nAnswer: 0.033216915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -153261.6368 plus 0.04175?\nAnswer: -153261.59505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110 (base 2) in base 10?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (304\/(-288))\/((-11)\/198)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5 + 0*w + 0*w + 2*w**2 + 4*w. Suppose -226*y + 228*y + 28 = 2*k, 0 = -3*y - 3*k - 18. List the prime factors of r(y).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 - 4*o - 4. Give a(3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z = 9*z + 99. Let u be 805\/(-518) + (z\/2)\/(-1). Which is the third biggest value? (a) 0.2 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(sqrt(14)\/sqrt(2)) - sqrt(5)) + 3 + (-2 + sqrt(125))*-6)**2.\nAnswer: -900*sqrt(5) + 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -445\/13 or 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 452 = 5*l, 3*l - 5*l = 8. What is the highest common factor of 48 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/7625)\/(4\/24)*10\/(-8).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114026 and 1606?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 7*a - 2. Is t(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80)*1 + sqrt(80) - 2*(5 + sqrt(80)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129821 + 209308. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*2*sqrt(1872))**2.\nAnswer: 1916928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24928 and -23.\nAnswer: 24928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -38*k - 16. Let u be z(-3). Let h = u - -55. Let c = h - 86. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117239046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 13 + 1 + (-18 - -150 - 24)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744471 (base 9) in base 8?\nAnswer: -3556774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26*(237\/13 + -18). Calculate the highest common divisor of 1497 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = q + 4*r - 1, 3*q - 78 = -3*r. Let i(o) = -231*o**3. Let z = 0 + -1. Let m be i(z). What is the greatest common divisor of m and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 29*v**6\/3 + 137*v**2\/2 + 18*v + 1. Find the first derivative of w(f) wrt f.\nAnswer: 1160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863104.5us to seconds.\nAnswer: 0.8631045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*h = -g - 7, -g + 4*h + 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v - 36 = 106*v + 12*g, 2*v - 24 = 4*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1009 - -1015. Calculate the remainder when 241 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*6\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -f - 1, 2*c + 23 = 3*f + 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 6\/7, -11, -54, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3113 (base 7) to base 12.\nAnswer: -768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*q + 24 = 7, -4*m = 2*q - 40. Let f(r) = r - 9. Let z be f(m). Suppose -2*v + 12 = -z*v. What is the smallest common multiple of 3 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1182 divided by -15\nAnswer: 394\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -12. Let q be 12\/(-16) - 118\/g. Calculate the highest common divisor of q and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 1. Let x(w) = -w. Let h(d) = 3*d - 1. Let b(p) = -2*h(p) + 4*x(p). Let a be 36\/6 - (0 - -18). What is a*m(u) - 5*b(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let h be (-1 - 0) + (0 - -3). Suppose f*d = -w + 18, -2*d - h*w - w = -14. What is d rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z + 7. Let s(d) = -d**2 - 1079. What is k(s(u))?\nAnswer: -7*u**2 - 7546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 3 + 5\/8*x**3 + 1\/6*x**4 + 0*x - 18*x**2 + 1\/240*x**5. Let z(p) = 0. Calculate p.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 1.8. What is the closest to -3 in v, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:09 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/2)\/(((c\/(c*c**0*c))\/c*c)\/c)*c**(3\/2)*c*c**2*c assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3280 - 3280 - 16*f)*(-f - 2*f**2 + f)*(-3 + 2 + 2) - 1 - f**3 + 3 + 2*f**3 to the form r*f**2 + x*f + t + k*f**3 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laaaalalalaaaaal. What is prob of picking 4 a?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**6 + 0*v**5 + 59\/4*v**4 + 0*v**3 + 0 + 191*v - 43\/56*v**8 + 0*v**7 + 0*v**2. Find the third derivative of u(q) wrt q.\nAnswer: -5160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125688*o + 236368*o - 110677*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-4 + 6)) + (44 - (7 + -3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6296 - -28729. List the prime factors of j.\nAnswer: 22433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634967333?\nAnswer: 7, 11, 13, 90619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-6)\/((d*d**(-6\/7))\/d**(-3\/5)))\/((d*d**(-2\/9)\/d)**31)**28 assuming d is positive.\nAnswer: d**(60526\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 7, -o - 2*f + 148 = 0. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0 + 0*d + 1\/15*d**5 + 0*d**3 + 0*d**6 + 0*d**4 + 2\/105*d**7 + 2*d**2. Find the third derivative of z(x) wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145407 is divided by 23965.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5 = u + 1, 5*m - 84*u + 406 + 436 = 0 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n - 681. Give t(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*j - i + 2*i, -4*j - 3*i + 17 = 0. Solve -5*h + 3*q = -0*q + 18, -h + 2*q - j = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 36\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1032544?\nAnswer: -1032543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2238 + 2258. Solve -j - 50 = -35*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-198)*702\/(-819). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1109671109 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1234 (b) 0.1 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.188335, -2\/19, 4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101212200303221 - 2?\nAnswer: -101212200303223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -5 + (-13932)\/473.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18830 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 172, 245, 302, 337, 344, 317?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {t: 3, a: 7, k: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*x - 44, 0 = -u + 27*x - 29*x + 11. Solve -u*o - 37 - 29 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 7:55 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15 + 18)*5\/4)\/((-22)\/88).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 16610076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q + 6. Let n be 4*3\/6 + 2. Suppose -3*c + 18 = -4*g, 2*c + g = -n*g + 35. Let l be (2 - 7)*(-2)\/c. Let x(v) = -v - 1. Determine l*y(k) + 6*x(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 12*u**2 - 13*u + 16. Let r be v(-11). Suppose -4*i - r = -5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 79*d + 2 + 2.\nAnswer: -79*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 19. Let a = 56 + -37. Let d be z(a). Suppose d*p = 2*p - 26. Calculate the remainder when 47 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9 and 2\/5 + ((-545)\/(-825) - 2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 300*u**3 - 2*u**2 + 1. Let b be d(1). Let p(i) = i**3 - 25*i**2 + 136*i - 1. Let j be p(17). What is the hundreds digit of j + -2 + b + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**3 + c**2 - 2*c + 2. What is y(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 18. Let j be k\/6 - (-262)\/4. Calculate the highest common factor of 44 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2226499\/1 + 2 + 6. Let b = p - 5436507. Round b to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -4\/1363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31\/(372\/48) - -24. Solve 35 + 49 = a*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -1 (c) -1\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 239982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -2 (b) 0.1 (c) 1991 (d) 1\/8 (e) -23 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-5) + 384\/30. Suppose c = -5*i + 2*o + o, 0 = -5*i - o - 16. Let u(q) = -q**3 + 5*q**2 + 15*q - 5. Let k be u(7). Put 3, k, i in decreasing order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 48. Is 12 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -17. Suppose -m + 4*c = -0*m + 6, -2*c = g*m - 10. Suppose -4*j + s = -2*s, -m*s = -4*j. Which is smaller: 1\/49 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u - 4. Let a(k) = 30*k - 13. What is -2*a(j) + 7*p(j)?\nAnswer: 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -4*v**5\/15 + 11*v**2 + 2. Let w(q) be the third derivative of -q**5\/10 + 8*q**2. Give w(j(m)).\nAnswer: -1536*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 924732587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1\/2))**(-1\/48)\/((r\/((r\/(r**(3\/4)*r))\/r*r))\/r**(2\/5)) assuming r is positive.\nAnswer: r**(-673\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*q - 7215 = -3530 + 15675 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:58 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1950*x**4 - 1 - x - 3 + 1956*x**4 to r + g*x**4 + u*x**3 + o*x**2 + a*x and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 i when three letters picked without replacement from {r: 1, i: 1, x: 1, n: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r**2 - 27*r - 71. Let y = 551 - 567. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let y(l) be the second derivative of 1181*l**3\/6 - 21*l + 2. Calculate y(j(r)).\nAnswer: -1181*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/720 + r**4\/2 - 4*r. Let t(n) be the third derivative of u(n). Let a(h) = 20*h**2. What is t(a(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 5*k = -5*g + 57, -5*k - 21 = 2*g. Let v be (-37)\/(1*1\/(-1)). Let h = g + v. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2532 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxccooooxoinoccoco. What is prob of sequence oci?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 2*k + 5\/2*k**5 + 0*k**3 + 31\/2*k**2 + 0*k**4 + 5. Find the first derivative of u(n) wrt n.\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeeeeoee. What is prob of sequence ee?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.135 - -1.135. Which is the smallest value? (a) -1 (b) m (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15467.105 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 13*i + 4. What is x(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -8*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/8 - 117*p**2\/4 - 689*p\/8 + 231\/2 = 0?\nAnswer: -231, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d + d)*(d**3 + 3*d**3 - 3*d**3 + (d - d + 3*d**2)*(d - 2 + 2)) + (1 - 1 - 2*d**2)*(-d**2 - d**2 + 0*d**2).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p + 15*p + 2 + 0 - 2*p**2 - p**3. Let q be m(-3). Suppose q*c - 7*c + 65 = 0. Calculate the remainder when 36 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481*y**6 + 31*y**2 - 5 wrt y.\nAnswer: 57720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 + 7*d**2 - 7*d - 4. Let b be (2 + 0)\/(-1 + 0). Let h(w) = w**3 - 2*w**2 + 2*w + 1. Let y(m) = b*i(m) - 7*h(m). Differentiate y(g) wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 + 280 + 302 = -34*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273491109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104\/33, 3, 1\/8 in decreasing order.\nAnswer: 3, 1\/8, -104\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -7, 5 in decreasing order.\nAnswer: 5, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.509 + -1.524. Let u = 36169 - 36169.014923. Let l = u - k. What is l rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 51*u + 13. Let b(c) = -33*c - 9. Calculate -7*b(w) - 5*f(w).\nAnswer: -24*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 943902015 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1933 + -6?\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5557 is divided by 309?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 m when four letters picked without replacement from dddqqam?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -127, -157, -211, -295, -415, -577, -787?\n\"Answer: -y**3 - 3*y**2 + 4*y - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 1462816343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180121050 divided by 54.\nAnswer: 3335575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 2328 = 2601. What is the highest common factor of u and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 63868 = -4*v, 892*v - f = 894*v - 31920. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3 + 3. What is the first derivative of o**2 + 1 - 5*o**m + o**2 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 2\/7 (c) -230\/5211 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -29. Suppose -y*n = -79 + 84. Which is bigger: 2\/331 or n?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**5\/5 + 46*j**4\/5 + 122*j**3\/5 + 122*j**2\/5 + 16*j\/5 - 24\/5 = 0.\nAnswer: -3, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-3 + (1 - 47) + 15)) + -54\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -7*a**2\/2 + 11*a - 1131. Give j(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 110, 199, 322, 491?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68526.5*-1.1.\nAnswer: -75379.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.134 and -0.14?\nAnswer: -0.01876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256103 is divided by 25603.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2. Let d be t(-4). Suppose d = a + 2*m - 138, 0*m = 4*m - 12. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3333.4 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 13112720*q = 0. Calculate q.\nAnswer: 0, 6556360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -850537, -1701065, -2551589, -3402109, -4252625, -5103137, -5953645?\n\"Answer: 2*f**2 - 850534*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412*i - 1416*i + 164 = 0 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3504 divided by -584\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 1806?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-36)*0\/2. Suppose t = b + 4*b. Suppose 0 = -2*n - b*n - 3*l - 3723, 2*n - 5*l = -3715. What is n rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 5c5b?\nAnswer: -5c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 18 - 21. Let z(l) = -3*l + 3. Let u(p) = -10*p - 2. Let c(o) = o + 1. Let j(r) = 6*c(r) + u(r). Calculate v*z(a) + 2*j(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1712 divide 3840655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express -132 + 43 + 44 + 2337*m + 44 in the form r*m + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2102, 2112, 2122?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4527*i**2*t - i**2 + 5485*i wrt t.\nAnswer: -4527*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 92.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700703.\nAnswer: 700703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-10 + 10 + 2*m)*(393*m + 2263 - 2263)*(4*m**3 + 0*m**3 - 2*m**3).\nAnswer: -1572*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18096 and -40\/1943.\nAnswer: 1212432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -17*k + 11*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = j - 0*z + z, -j = 2*z + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -322268562 divided by 13329\nAnswer: -24178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 14. Suppose 3*r = r + 26. Let d = r + -23. What are the prime factors of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 4351\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15640, -15641, -15642, -15643, -15644, -15645?\nAnswer: -15646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 12. Let a be y(-5). Let p(o) = -4 + 1 + o**2 + 3 + 5 - 9*o. Let n be p(a). Let q(m) = m. Let u(s) = 4*s. Determine n*q(i) + 2*u(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -27.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2568 - -2564. What is the closest to 0 in -0.07, n, 1\/4, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561315 and 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 8 + 16 + 16 in the form r + j*q and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 5, 2\/11, -7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3) - -15*(-9)\/45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305937 divided by -237?\nAnswer: -1305937\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151657043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91265560?\nAnswer: 2, 5, 367, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x - 30. Let t be 10\/x - (7 + 5 + -13). Put -0.1, 0.02, t in ascending order.\nAnswer: t, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3171284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/219, -74, -0.07, 4 in descending order.\nAnswer: 4, -11\/219, -0.07, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -245. Suppose 6*v = 4*x + v - b, v + 11 = x. Let k(c) = -2*c + 4. Calculate the lowest common multiple of k(-6) and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-16)\/(-3))\/(((-35)\/546*1)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(3*l**2 - 3*l**2 + 2*l**4) + (-2*l - 3*l - 3*l)*(l**3 + l**3 + 0*l**3) - l**4 + 437*l - 437*l + 23*l**2.\nAnswer: -19*l**4 + 23*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0274 + -40.9726. Put 1, w, -0.1, 0 in decreasing order.\nAnswer: 1, 0, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d = 10. Suppose 2*l = -16, 5*l = -3*n - 72 + 41. Solve -c = d - 6, -c = -n*h + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -42. Let d = i + 17. Suppose -6 = -w + 4*y, -4*w + 9 = -2*w - 5*y. Calculate the least common multiple of w and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*q - 43262333*q**2 + 1070*q**4 + 43262333*q**2 wrt q?\nAnswer: 12840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + 3*b**5 - 3*b**5 + b**5 + 3*b**5 - b**5 + b**2 - b**2 + 2*b**5 + (1 - 2 - 2)*(-2*b**5 - 2*b**3 + 2*b**3).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + -1*sqrt(156))*-3)\/((2*sqrt(300) + sqrt(300))*4).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(23 - (-714)\/(-90)) + (8\/(-3))\/(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 k when three letters picked without replacement from {k: 2, z: 1, r: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369512 is divided by 1315.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31282 = 3*r - g, -6*g - 2 = -4*g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 1. Let w(j) = 3*j**2 + 8*j - 7. Let b(p) = 4*a(p) + w(p). What is the least common multiple of b(7) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**4 + 27*z**3 + 1 + 10*z**3 + 7*z**4 + z**2 + z**4 to the form a + q*z**2 + c*z + d*z**3 + l*z**4 and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*(z*z**4)\/z)\/(z\/z**(1\/4)*z**3)*((z\/((z\/(z*z\/((z\/(z\/(z*z*z\/(z\/z**(2\/9))*z)))\/z*z)*z)*z*z)\/z))**(-14))**17 assuming z is positive.\nAnswer: z**(10553\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1467, -2595, -3697, -4761, -5775, -6727?\n\"Answer: 2*p**3 + p**2 - 1145*p - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*p + 88 = 0, 1562 = 3*a - p + 1628 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736944.\nAnswer: 2, 11, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 c when four letters picked without replacement from fbtcftcccfcc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4543568t in kilograms?\nAnswer: 454.3568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:06 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 + (1 + -1)\/(-2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 30*a - 105. Let x(c) = 11*c - 35. Determine 3*i(s) - 8*x(s).\nAnswer: 2*s - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 851*j**2 - 8511*j + 2. Determine n(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o**2 + o - 6. Let w be t(3). Let p = w + -167\/4. Which is the closest to p? (a) -1 (b) 1 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2900474*d**6 + 4109837*d**2 wrt d.\nAnswer: 348056880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*i**2 + 5\/4*i - 5\/4*i**3 + 5\/4*i**4 + 0.\nAnswer: 5*i*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 66770 (b) -1\/2 (c) 0.4 (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23886 divided by 1327.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 46 = -2*x - 5*r, -x = 5*r + 28. Let y = x + 32. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. What is the units digit of 4 - r - (-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2613*u + 23521. Let v be x(9). Which is smaller: -2.302 or v?\nAnswer: -2.302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789 a factor of 111120003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 36*s**2 - 38*s + 14. What is n(17)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - 4) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174 is divided by 449?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(2\/57)\/(k\/(k\/((k\/((k**(1\/2)\/k)\/k*k))\/k)))**7)**(-47) assuming k is positive.\nAnswer: k**(18941\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 17. Let r be 1\/(-3) + m\/(-6). Solve 2*z + 4 = 2*f + f, -20 = -r*z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:24 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 28*q**2 - 45*q + 16. Calculate the remainder when t(-27) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 9 - -5) + -5 - (35 + 1) - 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -509*n - 3024. Let o be t(-6). Put 5, -2, 0, o in descending order.\nAnswer: o, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.5 (b) 2\/9 (c) -0.1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.248 and -3935872.\nAnswer: -3935872.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, -629, -2826, -6269, -10952?\nAnswer: -16869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 353.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**2 + 2*k**6 - 5*k**2 + 7*k**6 + 4*k**2 wrt k.\nAnswer: 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.487776 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*a - 166*a - 70 - 52*a.\nAnswer: -147*a - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*v + 4964709 = 81231116. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**4 + 11*y**3 - 11*y**2 + 5. Let h(q) = 3*q**4 + 6*q**3 - 6*q**2 + 2. Let i(p) = 11*h(p) - 6*s(p). What is the derivative of i(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/3)\/((76\/(-12))\/19). Let b be ((p - 11)\/21)\/((-3)\/153). Solve 10 + b = -5*c - 2*d, 4*d + 9 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 1. Let x(s) = -11*s - 15. Let i(u) = 2*t(u) + x(u). Give i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2493 = 144*t + 19*t + 114*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-540)\/(-650)*(-1)\/(-4)*1. Let a = 3269\/4290 + o. Find the common denominator of -67\/27 and a.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500 a factor of 1172038420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446712003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a + 11. Let v = -53 - -57. Let j(w) be the first derivative of v*w + 33 + 39 - 3*w**2 - 65. Give 3*f(l) - 8*j(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, 0.1, 0.3, -1\/2, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52692238367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*(-5346)\/539055*1*(-4)\/(-3).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Let w be t\/(2\/(-20)*2). Find the second derivative of 4*d**3 - w*d**3 - 3*d - 3*d**3 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 2. Let g(b) = -2. Let d(t) = -5. Let u(j) = d(j) - 3*g(j). Determine -2*i(f) + 5*u(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbllbqqbqbqlqlzbblb. Give prob of sequence zlq.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 54 - 14. Let t be b\/(-45) + (-8303984)\/(-36). Suppose 3*j - t = 63334. Round j to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.6 and 1.05?\nAnswer: 61.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, j: 4, z: 3, i: 2}. What is prob of picking 1 i and 2 j?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/s**(1\/6)*s**28*s\/(s\/(s*s*s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(389\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from {c: 1, j: 2, t: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -59, -75, -107, -161?\n\"Answer: -o**3 + o**2 - 2*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 33449*o**2 - 66861*o**2 + 33404*o**2.\nAnswer: -8*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 10. Let y be p(-10). Factor 0 + 3*v**2 - 2*v**2 + y.\nAnswer: v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*o + 4, 2*q - 4 = o - 5. Suppose -4*b - b + 10 = q. Are 0.1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324935063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 16 = -4*h, 0 = 5*h - 3*z + 17 + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1907*m**4 + m**2 + 218*m + 1?\nAnswer: 22884*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*r - 78*r - 147*r + 30*r - 122*r to the form d + c*r and give c.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m - 7498. Determine r(-88).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 0.6, -1\/4818494?\nAnswer: -1\/4818494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143)*2*4 + sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))\/((sqrt(77) - -1*sqrt(77))\/sqrt(7)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -265599, -4, -5 in increasing order.\nAnswer: -265599, -46, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427, 4, 14, 0, 19 in ascending order.\nAnswer: 0, 4, 14, 19, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g. Let v(z) = -z**2. Let t(k) = 2*c(k) - 18*v(k). Let m = 4 - 1. Is 18 a factor of t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44950 and -42969.\nAnswer: -87919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2592)\/1728)\/(3\/44)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58291.3 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 + 18 = 0. What is the tens digit of (-5 - 10)*c\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 3, x: 1, b: 2, l: 6}. What is prob of picking 3 l?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 + 2*r + 2. Suppose 0*i + 12 = 4*i. Suppose i*a - 2*a = 12. Calculate the lowest common multiple of a and b(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/291, -2, 1, 5, 0.2, -0.3, -262?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10379 is divided by 3423.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/27 (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 h when four letters picked without replacement from hzcchhzchhcz?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 9. Determine h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*h**5 + h**3 - 3*h**2 + 123*h + 5?\nAnswer: 1640*h**3 + 6*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*k - 1704 = -754*k + 10256 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1, 9, -5\/7 in descending order.\nAnswer: 9, 1, 2\/21, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335714 is divided by 458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12072)\/(-16))\/(2\/4) + -1. Suppose q = 8*s - 820. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215.522nm in millimeters?\nAnswer: 0.007215522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 38140*v + 183586128 = 0.\nAnswer: -23052, 3982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**12\/t*t**(23\/2)\/t*(t*t\/((t**(-6\/7)\/t)\/t)*t*t*t)**35 assuming t is positive.\nAnswer: t**(597\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + ((-28)\/2 - -5) + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.47 + -3.59. Round l to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.47, 2, -0.1, -1, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-1\/6)))**8)**(-1\/2) assuming h is positive.\nAnswer: h**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3*m**2 - 308*j**3 + 236*j*m**3 wrt m?\nAnswer: 4*j**3*m + 708*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.55, -2\/3, -31 in ascending order.\nAnswer: -31, -2\/3, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1285461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -3\/1793?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-18) - (-2945)\/3. Suppose 4*l - 1899 = f. Let a be (12\/(-16))\/(1437\/l - 2). Calculate the highest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15716, -31601, -47490, -63383, -79280, -95181, -111086?\n\"Answer: -2*j**2 - 15879*j + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 - 2*r - 3. Let w be b(-2). Let p be (5 - (0 + 3))*(-5 + 3). What is the closest to w in p, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -7) + (54 - 52).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 61, 41, 1, -65, -163, -299?\n\"Answer: -j**3 - j**2 + 4*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/4 + a. Let c(w) = -20*w - 11*w**2 + 85*w - 65*w. Determine c(u(j)).\nAnswer: -99*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idjj when four letters picked without replacement from ddjqjjjjid?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*z - 40. Let y be (-24)\/(-2)*(10\/4)\/z. Is 13 a factor of (-2)\/y*(-39)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 - 4*l. Let v be a(-3). Suppose -7*c = -v*c - 4*w - 168, 5*c - 170 = -5*w. Suppose 62 = 4*j - c. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2 + 3*s. Suppose -61 = -5*i + 3*a, -21 = -0*i - i + 5*a. Let b be i\/(-22) - 9\/6. Give k(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1472, -2954, -4434, -5912, -7388, -8862?\nAnswer: -10334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 15 = 0. Solve -41 = -f*n - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:33 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -15\/7, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15660, -31317, -46974, -62631, -78288, -93945?\n\"Answer: -15657*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -333660 + 6?\nAnswer: -333651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2. Let u(x) = -x. Let h(q) = -q. Let b(g) = 6*h(g) - 2*u(g). Give i(b(c)).\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 3930*w**3 - 9644748*w**2 + 13195186074*w + 39672254601 = 0. Calculate w.\nAnswer: -1809, -3, 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6*m - 64 = 0. Let a be (-3)\/6*(m\/(-6) + 0). Let d be 23\/(-55) + (-12)\/(-20). What is the second biggest value in d, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40843978 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 44, 48, 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-25)*723\/2892*4\/2*-5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + f**3 - 18*f**3 + 3*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*v + 217 + 23, -2*q + 129 = -5*v. Suppose q*o - 11361 = 54*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 1. Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/2 - 22\/(-4). Suppose 0 = c - 5*d - 114, c - z*d - 471 = -3*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inii. What is prob of sequence niii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/39)*n)\/n)\/n**(-1\/14) assuming n is positive.\nAnswer: n**(613\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 701106 (base 9) in base 7?\nAnswer: 3343314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 86\/4 - (-10)\/2. Let w be ((-15)\/20)\/((-9)\/(-6))*-2. Let q be w\/(6\/(-104))*3\/(-2). Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(-1\/7)*a\/(a*a**(1\/4))*a*a**(3\/4))\/((a*a**(1\/3)*a*a)**(-20))**(-44) assuming a is positive.\nAnswer: a**(-61567\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 148.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -47. Suppose q + s = 4*q. Suppose q = 4*t - 15. Calculate the lowest common multiple of t and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u**3 - 1 + u + 2*u**2 - 6*u + u**4 + 3*u + 4*u**3 as a*u**3 + g*u**2 + l*u + c*u**4 + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -680534, -680466, -680346, -680168, -679926, -679614, -679226, -678756?\nAnswer: -678198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 16749, -3\/7, -1\/4, -2\/3 in descending order.\nAnswer: 16749, -1\/4, -3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6156*j - 1698*j - 6328*j - 2567*j.\nAnswer: -16749*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*16.8.\nAnswer: -352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 2*a + 4*a)*(6 - 1 - 3) + 2*a - 3*a + 2*a - 13 - 19 + a + 36 as i + h*a and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 1 - 1)*(1 - 1 - 1)*(4*z - 2*z - 3*z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (1 - 5)) + (29 - 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 13, x: 6}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -1\/4, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194934079 is divided by 2528.\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 42, 62, 98, 156, 242, 362, 522?\n\"Answer: k**3 - k**2 + 6*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*k + 6*k, 0 = 2*k + 5*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244479 and 21111.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c - 6. Let y(p) = -105*p + 80. Let f(a) = 40*s(a) + 3*y(a). Let v(q) = -1310*q. What is f(v(j))?\nAnswer: -6550*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 7*z**2 + 5*z - 5. Let p be m(-5). Suppose -t + p = -6*t. Let l = 473\/6 + t. Which is the second smallest value? (a) l (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13667 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*3\/((-3)\/(-4))*533544\/37224?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f - 3?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 17458 = -2966. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 8, -9 + 3 = -f - 2*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66795 and 1680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32198 + 12561. Is a <= -19636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -6*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37768264?\nAnswer: 2, 337, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -594*s**8\/7 - 2151*s**4\/4 + 2343*s. Find the third derivative of g(h) wrt h.\nAnswer: -570240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - 4\/(-10). Let x be i + -2 - (1 + -5). Suppose x*k - 25 = -5. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 54*h**4 + 15*h**4 + 11 + 38*h**4 + 2*h**3 in the form m*h + y*h**4 + n + k*h**2 + i*h**3 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8780635, -17561269, -26341905, -35122543, -43903183, -52683825?\nAnswer: -61464469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8218*g - 16228. Calculate y(-2).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117313?\nAnswer: 7, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1676 and -85857.\nAnswer: 143896332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136.2 + 136. What is the closest to h in 0.6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s + 24*s + 18*s - s**2 - 12*s - 1 - 18*s. What is v(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 4, 6401.\nAnswer: -5, 4, 6, 6401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Which is the smallest value? (a) -4 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 + (-236)\/10. Let x = -16 - o. Sort x, -5, -2 in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 903200 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12809*q - 627636. Give m(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/5)\/(q*q*q**(-3)*q)*(q**(-1\/4))**(11\/5) assuming q is positive.\nAnswer: q**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4470 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:28 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 - 117\/(-52). Suppose c*b + 23 - 70 = 4*a, -a = -4*b + 41. What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961064.4 - 1.92.\nAnswer: 961062.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1199\/55 + -21)\/(0 - 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27362336 divided by 220664.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -28*d - 72 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 94 = 9. Suppose -5*z = 25, -169 = -g*s - 5*z + 666. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.062, 6, 58, -1118, -0.3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9298*g + 9304*g - 90. Let s be (6\/(-4))\/((-6)\/8). Suppose -2*q = 2*n + s + 4, -2*n - 5*q - g = 0. Solve -5*a = d - 3*d + 31, n = 5*d + 3*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 8. Let c be a(8). Suppose -5*g + c = -7. Solve -5*y = -2*m + 2, 0 = -y + m - g + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 985476880 divided by 20\nAnswer: 49273844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*r + 3978 = 106*r - 73*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 - 10. Let f be y(7). Let t = f - -51. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5a - 16?\nAnswer: a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70584 + -527?\nAnswer: -71111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:23 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-234)\/585 + 196\/(-10))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*l + 23, -3*l + l - 26 = 4*i. Let t(r) = -22*r - 16. List the prime factors of t(i).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 324 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18690661*d*r**2 + 314*d*r + 8*d - 179*r wrt r?\nAnswer: -37381322*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 80*a - 46*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 743*a**5\/10 + a**4\/4 + 2*a**3\/3 + 7*a**2\/2 + 2*a + 6. Let w be j(-3). Round w to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6897870 and 10346805?\nAnswer: 20693610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63196085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from zpziipxozgggoxoo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -9.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 899 - 1?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9252 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:56 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1622790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 640*m**3 + 655360*m - 4506*m**2 - 5242880 - 3*m**4 - 2*m**4 - 26214*m**2.\nAnswer: -5*(m - 32)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15696 = -3*q, -4*q = -3*n - 9*q + 15688. Suppose n = -7*o + 13288. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*s - s - 8014, 24112 = 3*s - h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-51))\/(1*-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11 - 3 + 0 + 30*y. Let h(i) = i - 3. Let d be h(5). What is the tens digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2698 = 5*q, -y = -q - 321 - 349. Suppose 0 = -2*m + 10*m - y. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263832670 and 380.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.91 - -0.09. Let c = -2.0000003 + j. What is c rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -8 + (1 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 64 = -4*q, 3*q - 4*l = -2*q + 80. Let h = q - 1. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21405386 and 4132?\nAnswer: 21401254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*q**3 + 2*q - 8*q**3 - 3*q + 5*q**3 wrt q?\nAnswer: 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 256\/8 - (-13696)\/(-6816)\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**3 + 6*g**3 + 3 - 2*g - 7*g**2 + 1 + 9*g**3 - 22*g**3. Let n(f) = f**3 - 3*f**2 - f + 2. Give 7*n(j) - 3*v(j).\nAnswer: 4*j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 14 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1810306*j**2. Let r(m) = -m**2. Give r(o(b)).\nAnswer: -3277207813636*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*((-2)\/(-5))\/(52\/(-65)). Let s(t) = -461*t - 263. Is s(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -67. Suppose t*i - 9 = -0. Suppose i*p + 3 = 21. Solve 9*y = p*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5349, -0.19, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 9. Calculate u(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 plus 5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9903194 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10*s\/(s\/s**9))**37 assuming s is positive.\nAnswer: s**703","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1360*g + 7*g**2 - 452*g + 6 - 459*g - 449*g.\nAnswer: 7*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1577880 by 315576.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121685 (base 9) to base 12.\nAnswer: -3661b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1878.\nAnswer: -5\/1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/159 - 15691\/1590. Let v = j + 117\/5. Calculate the common denominator of v and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -370?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 15. Let g = -46 - -60. What is the hundreds digit of b(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1)*h))**(-28\/9)*h**19*h**(4\/13)\/h assuming h is positive.\nAnswer: h**(1778\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 23)\/((-1)\/((-4)\/(-19))*-2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(152) + (sqrt(152) - 2*sqrt(152)*-1))\/(sqrt(8) + sqrt(80)\/sqrt(250) + sqrt(8))*1 + 1)**2*4.\nAnswer: 800*sqrt(19)\/11 + 42500\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46655524 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4 + 48*y**3 - 1698*y**2 - 3536*y + 9973. Factor p(d).\nAnswer: 4*(d - 17)*(d + 1)*(d + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -1237\/9. Which is the fourth biggest value? (a) -0.3 (b) -0.06 (c) -1\/2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 52614435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 6*h + h + (-12*h + 46*h + 31*h)*(-2 + 6 - 2) - 2*h + 9*h - h.\nAnswer: 133*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -15. What is the common denominator of 31*-2*2\/(-32) and p\/((-90)\/123) - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 p when four letters picked without replacement from {f: 2, p: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z - 140 = 0. Let y = 30 + z. What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720.8 times 17832?\nAnswer: 137677305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 7. Suppose 0 = 3*j + 11 - 32. Let p(o) = -4*o + 8. What is j*i(r) + 6*p(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (32 - 6)) + (-3 - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -814000 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8165411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:31 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(2\/5)\/o)\/o)**(2\/17))**(-21))**(-14) assuming o is positive.\nAnswer: o**(-4704\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 14 = 11*z - 0, 21 = 3*b - 3*z. Solve -152 + 180 = -b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 3, -1\/6, 1.9, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + y**2 + 2)*(-2*y**3 + 0*y**3 + 3*y**3) + (2*y**4 - 1 + 1)*(24*y - 37 + 37).\nAnswer: 49*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 224. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2842 and 784?\nAnswer: 22736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:29 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4866*q**5 + 2*q**4 - 13*q**3 + 6*q**2 + 23298.\nAnswer: -291960*q**2 + 48*q - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35154, 35014, 34774, 34428, 33970, 33394?\n\"Answer: -y**3 - 44*y**2 - y + 35200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 120. Let u = 7 - f. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 46*d - 22. What is the smallest common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/(sqrt(6) + sqrt(12)\/sqrt(2))*1 - (sqrt(77)\/(sqrt(11)*2) + (0 + sqrt(7))*-6)**2)*-1.\nAnswer: -sqrt(7)\/2 + 847\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*1*(-1*sqrt(128)*6 - (-2*sqrt(128)*2 - sqrt(128)))*3)**2.\nAnswer: 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3134 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*j**4 - 138*j**4 + j**2 + 83*j**4 + 12*j**3 in the form m*j + w*j**2 + t + x*j**4 + g*j**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-119)\/(-34)*4\/(-21). Let p = 5 - 1. What is the closest to -0.1 in a, 5, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9465406 litres in millilitres?\nAnswer: 946.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -339531742 divided by -41?\nAnswer: 8281262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k = -414 - 301. Calculate the greatest common divisor of 52 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-18 - 2)\/4. Is -2 + (-6)\/c - (-15 - 457) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*w = 3*m - 13660, m - 5*w = 2728. List the prime factors of m.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/15 - v**3\/6 - 2*v**2. Let n be h(-1). Solve o + 19 = 4*i, 4 = -o + n*i - 2*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 4 - 4*o**2 + 6*o - 3*o**2. Let f be s(5). Let m = f + 178. Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3 - 13. Suppose 32 = l - 4*p, -l + 2*p - 5*p = -4. Let s = l + h. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 13*a**5\/60 + 6*a**2. Determine z(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1394.2 + -1394. Which is the third smallest value? (a) -13 (b) -23 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j + 111. Let i be z(8). Let d(r) = 2*r**2 + 3*r + 5. Let q(b) = b**2 - 3*b - 1. Let t(s) = i*d(s) + q(s). Determine t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*k - 100 + 472, -2*k - 150 = 2*y - 0*y + 2 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b - 8. Let s(f) = -49*f + 23. Let y(z) = -8*o(z) - 3*s(z). Let w(r) = r. Calculate y(w(k)).\nAnswer: 27*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Let t be (m - -5 - 1) + -2. Let n(b) = 2*b - 4. Give n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 9*v + 45. Is 15 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -140*q + 7. What is the hundreds digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293 + 13653 = 412*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/12 - 20*s**2. Let c(r) = -2*r**2 + 8. Calculate y(c(z)).\nAnswer: -4*z**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (5 - (-10 + 19))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27\/(-15) + (-407)\/(-165))*(1 + 29012).\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144, 280, 408, 528, 640, 744, 840?\n\"Answer: -4*i**2 + 148*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 21 = -4*w, -2*w + 3*w + s + 9 = 0. Let n(g) = -23*g + 313. Let i(c) = 13*c - 178. Let v(o) = -7*i(o) - 4*n(o). Calculate v(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2584)\/380*1*5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5318 * 0.1.\nAnswer: 0.05318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 4, -19 in descending order.\nAnswer: 4, 1, -1\/3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 5*n**3 - 3*n**3 + (3 + 2 - 3)*(-520*n**2 - 29*n**3 + 520*n**2) in the form d*n**3 + h*n**2 + t*n + m and give d.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4 - 19180*r**3 + 211157*r**2 + 1074756*r + 1151460 = 0?\nAnswer: -19191, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:18 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 5*l + 72. What is the units digit of (l\/9 - 2)*(-1287)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18577703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/42)\/((-13)\/(-2) + -5). Let f = 2.5 + 8.5. Which is the second biggest value? (a) 0 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18785.84 nanograms to tonnes.\nAnswer: 0.00000000001878584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8134 is divided by 1333?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4424 - -5243. What is the remainder when p is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 53*q**2\/2 + 4*q - 16. Let x be 6\/27 - 32\/(-18). Calculate the remainder when h(x) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 326 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 3:23 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:51 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 809304 and 300?\nAnswer: 20232600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2 - 3)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 35*h**2 - 91*h**2 + 57*h**2 - 1 + 75*h in the form r*h + n + a*h**2 and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + 2*r)*(-r + 2*r**4 - 1644*r**2 + 1650*r**2 - 84*r**4).\nAnswer: -164*r**5 + 12*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*-2*(-1 + sqrt(1377)) + sqrt(1377)*-2 + 5 + sqrt(1377) + sqrt(1377)*-1 + -3 + sqrt(1377) + sqrt(1377))*-5)**2.\nAnswer: 2700*sqrt(17) + 137925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40698*v - 40832*v - 268 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -53. Suppose 0 = z + 3*s - 3596, q*z - 5*s + 3*s - 14342 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 7 = -5*i, 2*g = -5*i + 23 - 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1\/4, 3, 146, -90, -1 in descending order.\nAnswer: 146, 5, 4, 3, -1\/4, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/10*r**5 + 38*r**2 + 0*r**4 - 1\/2*r**3 + 0 + 0*r. Let n(o) = o. Calculate g(n(v)).\nAnswer: -6*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:56 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 19 = w. Let g be -1*(-56)\/(-8) - w. Solve 0 = -f - 30 + g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 4*r - 4059. Suppose -9*q = -8*q - r. What is the tens digit of q\/18 + (-4)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 422, 445, 484, 539, 610, 697?\n\"Answer: 8*q**2 - q + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/9*k + 0 + 2*k**3 - 166\/9*k**2.\nAnswer: 2*k*(k - 1)*(9*k - 74)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 945 + -936. Let q(r) = 45*r**3 + r**2 - r. Let i be q(1). Calculate the highest common divisor of i and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -21. Let g(b) = -b + 2. Let i(t) be the third derivative of 5*t**4\/24 - 11*t**3\/6 + t**2. Let w = 10 + -6. Determine a*g(l) + w*i(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + j = -3, -89 + 85 = 2*u - 2*j. Let m = 7\/15 + 1\/3. Which is the third biggest value? (a) m (b) u (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0 - 1\/27*z**6 + 1\/27*z**3 + 3*z + 0*z**2 - 4\/189*z**7 + 1\/30*z**5 + 5\/54*z**4. Find k, given that i(k) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41546.\nAnswer: 2, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365584498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6065 - 2827. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 56 - 75 - 42?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(5*(-6)\/450*5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 39. Let b(n) = -28*n + 1. Give b(o(q)).\nAnswer: -56*q - 1091","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -3120\nAnswer: -1\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*z + 38743 = -120888 - 135. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**2 - 147 - 105*y + 2*y**2 + 147 wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 1. What is c(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 3*c**2 + 0*c + (5*c**2 - 2*c**2 - 2*c**2)*(2 - 7 + 25) + c**2 + 5*c**2 + 4*c**2.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/120*i**6 + 0*i**5 + 0*i**4 + 0*i + 2*i**2 + 0 + 5\/3*i**3. Differentiate s(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6337?\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a64 (base 14) to base 8.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(99) - sqrt(99))*-3 - sqrt(99)) + 2)**2*-5 + -1.\nAnswer: -143076 - 1020*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {c: 3, g: 10, m: 3, y: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4, -m + 0*m = -5*p - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2249.991 + -2252. Let u = -1.77117 - k. Let h = u + -0.234. What is h rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 76 = 464. Calculate the lowest common multiple of 9 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3678*h - 7542*h + 5348*h + 3*h + 2*h - 4*h + (1 - h - 1)*(-4 - 1 + 3).\nAnswer: 1487*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 547\/12 - -11*5\/(-220). Is a bigger than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 130 + (-161 - -168) + (5 - 0) + -26?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8872.541ng in micrograms?\nAnswer: 8.872541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 59. Suppose 2 = 3*n - 7. Suppose -n*p + 2 = i, -5*i + 5*p + 9 = -21. Solve 11 = 2*u + 3*a, 5*a - 25 = i*u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117319 - -193188. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**2 + 5*d + 58. Let k be v(-3). Let n be (3\/6)\/(3\/(-492)). Is n < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -415 or -387?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211211 - -21102201?\nAnswer: 101021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y + 5*l, y - 2*l = -2*y + 17. Let p(m) = 41*m + 17. Is p(y) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 - 414*y - 61. Let k be o(32). Put k, -10, -4 in ascending order.\nAnswer: -10, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11522*c + 11514. Calculate t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17861342*l - 2 - 17861344*l - 320*l**3 + 2.\nAnswer: -320*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -v - 9 - 1, -4*t + 2*v = -34. Suppose 4 = 2*n - n. Suppose -n*l + 3*l + 3*o = -5, -2*o - t = -l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 - 74?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 105\/25 + (-76)\/(-20) + -3. Suppose -n*o + 15 = 5*j, j + 3*o + 16 = 3*j. Solve 5*y = 5*f, 2*f + j = -3*y - 0*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9320177, -9320178, -9320179, -9320180, -9320181?\nAnswer: -9320182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100101 + -1000000?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10083, -40881, -92387, -164595, -257499, -371093?\nAnswer: -505371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*(-28)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 20*h + 60. Let t = -121 - -89. Let b = t + 33. Solve 2*d = h + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022162*-0.19.\nAnswer: 194210.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 1, s: 5, u: 1, n: 2}. What is prob of sequence zn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 19\/142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*b**3 - 3*b**3 - b**3 - 4*b**2 - 2*b**3 + 4*b**2 + (-b**2 + b**2 + b**3)*(-3 - 3 + 5) + (b**3 - 4*b**3 + 5*b**3)*(-1 + 3 + 0).\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*t + 15*t + 11*t + 4)*(3*t**2 - 2*t**2 + 3*t**2) + (-t + t - t**3)*(-2 - 2 + 2).\nAnswer: 6*t**3 + 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/8)\/((-1)\/6). Let f(v) = -v**3 - 6*v**2 - 6*v - 5. Let x be f(-5). Sort -4, o, x in decreasing order.\nAnswer: o, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020102 - -1?\nAnswer: 2020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*j - 154, 4*j + v - 154 = -3. What is j rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-15)*(4 + -2). What is the biggest value in f, 2\/9, -1, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 36. What is the second derivative of -414*d**4 + 62*d + 816*d**p + 4*d**3 - 419*d**4 wrt d?\nAnswer: -204*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 - 3 = 0, 3*m + 3*x - 12 = 0. Suppose 3*c = m + 59. Calculate the remainder when c is divided by (-1 - (-21 - -5)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 - 10*f + 10. Is y(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, -0.3, -0.2, 17, -0.5, 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.14.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105381812 to the power of 1\/2, to the nearest integer?\nAnswer: 10266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdddddddbdddd. What is prob of picking 1 b and 2 d?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + d = 30, -5 - 23 = 4*b - 2*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3444, 3822, 4200, 4578?\nAnswer: 4956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*h + 145, 20*s - 2*h = 24*s - 198. Let d be (-2)\/(-1) + -1 - 3. Let f be ((-4)\/d)\/((-1)\/(-10)). What is the greatest common factor of s and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:09 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5280, -10460, -15640, -20820, -26000?\n\"Answer: -5180*p - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7677 is divided by 140.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37026 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(4 - (-5)\/(-2))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - a = -5*a + 8, 3*m + 15 = 4*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - -1a5442?\nAnswer: 1a5465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 16, 0.5, 1\/28, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q + 0*q + (3 - 2*q - 3)*(-2 - 2 + 3) - 5*q + q + 2*q + 1.\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 90.\nAnswer: 23\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9085, 4, 1, -12 in descending order.\nAnswer: 9085, 4, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, w: 2}. What is prob of sequence dd?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1996*480.\nAnswer: -958080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 11010110100101100100101000?\nAnswer: 11010110100101100100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c - 7058*c**6 + 3*c**2 + 0*c + 7085*c**6 wrt c?\nAnswer: 3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -6.53\nAnswer: -267.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 6. Let w be g(-9). Let m(d) = d**2 + 5*d - 2. Let z be m(-6). What is a in a**2 - 2*a - 2*a**2 + 3*a - a**w + a**z = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80 and -0.1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 14*k - 55. Solve 8 = k*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.56 * 68.\nAnswer: 106.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110010000 - -1011001111010?\nAnswer: 10101000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y = 50*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-14)\/(-35))\/(190\/5)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615778 and 11174?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 910.7966 centimeters?\nAnswer: 9107.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 5. Let q(z) = 1. Calculate 4*b(v) + 18*q(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.043 + -0.043. Let t = 4 - 7. Let d = 0.22 + -0.12. Which is the third smallest value? (a) k (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:02 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 5886?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (-19 - -42) + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -71*j. Let v(a) = 447*a. Determine v(r(m)).\nAnswer: -31737*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/(-8))\/3*(-87)\/(-290).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -23 (b) -7 (c) 6383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, 0.048, -30 in increasing order.\nAnswer: -30, 0.048, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 185 = -8*r + 7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*g + 3783 = 107 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q**3 + 56*q**4 - 12*q**4 - 37*q**3 + 3*q**2 + 1 in the form p*q + y*q**4 + d*q**3 + i + v*q**2 and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88402.7515 * -0.5.\nAnswer: -44201.37575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 268130203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -138. Let h be 8\/3*(2202\/444 + w). Are h and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-1)\/(-6))\/(895\/(-1790)). What is the second biggest value in -1, z, -1\/9, 12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.76 + -0.76. Is -4\/7 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 34810*z**5\/3 - 81501656*z**4 + 6090663818*z**3\/15 + 2470898516*z**2\/5 + 99669752*z\/15 + 112304\/5 = 0.\nAnswer: -1, -2\/295, 6, 7019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 35, 90, 197, 374?\n\"Answer: 3*n**3 - n**2 + 3*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 12*w**5 + 92*w**4 + 204*w**3 + 68*w**2 - 216*w - 160 = 0.\nAnswer: -4, -2, -5\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 less than or equal to 22351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5\/3 - 5564*r**4\/3 + 1926520*r**3\/3 + 5812984*r**2\/3 + 5824132*r\/3 + 1943236\/3.\nAnswer: 4*(r - 697)**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 10. Is v(-8) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6141684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, g: 4}. Give prob of picking 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.914 to 1 dp.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1881 + -1880.996255. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (-2 + 3 - 3). Let a = 16 - g. What is the least common multiple of 3\/6 - (-6 + (-14)\/(-4)) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/84 + 3366\/308?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 28 = 6. Let u = 120 - 129. Let h = u + d. Solve -6*w + h*w = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 14*s + 16. Let r be 1\/((-68)\/14 - -5). Let w be x(r). What is the greatest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -r + 8, 3*z - 13 + 14 = r. Sort r, -33, 5, -3 in descending order.\nAnswer: 5, r, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, s: 1}. What is prob of picking 1 m and 1 s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3, 5 in increasing order.\nAnswer: 3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1 + -4 - sqrt(2057)) + 3*sqrt(2057)*-4)**2.\nAnswer: 792*sqrt(17) + 296217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 514*i**2 + 898*i**2 - 128*i + 806*i**2 - 442*i**2 + 554 - 551 wrt i.\nAnswer: 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p**11*p*p**20 assuming p is positive.\nAnswer: p**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence can when three letters picked without replacement from {b: 1, c: 1, n: 1, a: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -960*m*p**3*t**2 + m*p*t**2 + 4*m + p**3 - 47*t**2 with respect to m.\nAnswer: -960*p**3*t**2 + p*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*a + 4*k - 80, 5*a + 4*k + 89 = 0. Let d = 19 + a. Suppose d*g - 10 = 0, 5*g - 3*g + 2 = z. Solve i - z = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*j**2*l + f*j*l - f - 91683*j**2*l - 13*j*l + 720*j wrt j?\nAnswer: 2*f*l - 183366*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/13)\/i*i*i*i**(1\/3))\/(i**(-2)*i\/i**(-2\/13)) assuming i is positive.\nAnswer: i**(76\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5132.7662 + 5137. Round s to 2 dps.\nAnswer: 4.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g)*(0 - 4 + 3)*(0*g**3 + 4*g**3 - g**3 + 2*g**2)*(310 - 152 - 177) - 5*g**4 + 3*g**4 + 4*g**4.\nAnswer: 116*g**4 + 76*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, f: 3}. Give prob of sequence af.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 278006 * 28\nAnswer: 7784168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - 23 - 1*2. Let d = 29 + j. What is the greatest common divisor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = 3*o, -6*o + o = -3*v - 9. Suppose -4*p + v*p = 6. Is (0\/p + -7)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-10 - -5) + (-10 + 2 - 7) + 26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*a - 3*y - 60, 3*a - 67 = -4*y. Let o(s) = -s**3 - 20*s**2 - 5*s - 95. Let u be o(-20). Solve -4*k + u*f + 25 = 0, -3*k + 0*f + a = -5*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 16) to base 8\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 15) to base 11.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4 * -0.3.\nAnswer: -2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1620 divided by 60\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386762*q**5 - 480*q**2 - 92*q?\nAnswer: 23205720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 92 = n - 4*f, -5*f - 66 = -2*n. What is the highest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 3*u + 5. Let b(t) = 6*t**2 - 3*t - 4. Let w(v) = -5*a(v) - 6*b(v). Suppose 3*s - 4 = 4*g, -3*g - 9 = -5*s + 5. Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(3) + 2.\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101539468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 (base 6) in base 13?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/8 + 4\/16. Suppose 15 = -3*i, -y*k + 0*k = -i - 90. Calculate the greatest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555911 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - 6) + 6)*(-1 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285727 - 0.4.\nAnswer: -285727.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4453\nAnswer: 17812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*z + 16 = 29, -4*g = -5*z + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1731 + 1731 + 9*f**2 - 10*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 3:20 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 + 1 = 0. Let d(y) = -7*y + 5. Let q(b) = -6*b + 4. Determine j*d(n) - 6*q(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4208\/10520)\/(1\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*v + 14 = 0, -5*n - 2*v - 3*v - 20 = 0. Let w be n\/4 + 55\/2. Find the second derivative of w*y**2 - 26*y**2 + 9*y - 6*y**4 wrt y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 = -12*z + 10*z, 0 = -4*z + 5*r - 13. Solve 8 = -z*g + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*u - 2*u + 53, 27 = -2*j + 3*u for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/7 + 65416*h**2\/7 + 130836*h\/7 = 0. What is h?\nAnswer: -2, 0, 65418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023949 rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 25 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97270 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 17 - 37. Suppose 16 + 74 = b*c. What is the highest common factor of c and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17159732 divided by 67558.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 3*k**4 - 90*k**3 + 60*k**2 + 312*k - 288 = 0.\nAnswer: -6, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -15525, -74 in increasing order.\nAnswer: -15525, -145, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 41073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635887.1 weeks to seconds.\nAnswer: 384584518080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168.701 + -0.299. Let k = h - -113. Let v = -55.9999913 - k. Round v to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 246 = 36 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539977 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.86855 millilitres in litres?\nAnswer: 0.06086855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -14156992.935?\nAnswer: -14156992.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70281526252006 + 21*q**3 + 70281526252006.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-13)*t)\/t*t**12)**(-25))**(-6\/5) assuming t is positive.\nAnswer: t**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 1. Let p be x(0). Let z be 20 - (p - 7)\/(2 + -4). Let v = -16 + z. Which is the nearest to 2\/5? (a) v (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by (-1206)\/(-36)*-1*2*-1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7 = 5*j, -13*j + 12*j - h = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45645 (base 9) to base 16.\nAnswer: -76d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1352 divided by 169\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**2 + 633*k = 0.\nAnswer: -211, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-125)*5)\/((-4)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from oebeoewwb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -71894689.22 to the nearest one hundred thousand.\nAnswer: -71900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(140)\/(sqrt(8)\/sqrt(2)))\/(sqrt(343)*2))**2 + (sqrt(400)*-5)\/(-1*sqrt(320) - sqrt(5)).\nAnswer: 20*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**2\/6 + 343*u\/6 + 57 = 0.\nAnswer: -342, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17595306 - -16186.\nAnswer: -17579120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12032 (base 5) to base 10\nAnswer: -892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, 2, -623, -5 in increasing order.\nAnswer: -623, -5, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13299, -27198, -41097, -54996, -68895, -82794?\nAnswer: -96693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 8*g - 8*g + 24*g - 10*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f)**(16\/5)*f**(5\/3)*f*f*f**(1\/4)*(f*f\/f**(-3\/4)*f*(f\/(f*f*f\/(f\/f**(1\/2)*f*f))*f)\/f)**20 assuming f is positive.\nAnswer: f**(1693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -256*j*z + 134977*j + 24167*z - 80 wrt z.\nAnswer: -256*j + 24167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39969*-18.997\nAnswer: 759291.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**2\/2 - 695*t. Let s(i) = -4*i - 38 + 13 + 9*i. What is 25*f(m) + s(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**3 + 7*w**2 + 6. Let m(z) = 9*z**2 + z**3 - 3*z**3 - 5*z**3 - z**2 + 7. Give 5*m(j) - 6*q(j).\nAnswer: j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b69ac - 4?\nAnswer: 1b69a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 divided by -52?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:05 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6080603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1\/2*k**3 - 3\/2*k**4 + 3\/2*k**2 + 0 - 1\/2*k**5 + k = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 760006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -737 - -741. Solve -q + 5*s - 7 = 0, -x*q - 10 = -q - 4*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -49. Let q(b) = 4 - b**3 - 6*b**z - 5*b**3 + b + 5*b**3. Determine q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 5*k - 5064636, -3*z + 4*k = -1396496 + 130337. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 71*c**5\/4 + 9*c**4 + 102*c + 3. What is the third derivative of a(g) wrt g?\nAnswer: 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10178c + 1?\nAnswer: -10178b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 269, 3018, 10749, 25964, 51165, 88854?\n\"Answer: 417*d**3 - 11*d**2 - 137*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 85.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-48)*(-8)\/3. Solve 5*f - 28 = i*t, 3*f - 5 - 11 = 2*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*w = -257*w + 688. List the prime factors of w\/(-43) - (-14)\/(-4)*-26.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2*j + 2*j)*(29 - 29 - 7*j) + (-2*j + j + 2*j)*(7*j - 3*j - 2*j) to t*j + r*j**2 + o and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368, -383, -398, -413, -428, -443?\n\"Answer: -15*i - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 2.18322.\nAnswer: 1.78322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 50*w**2 + 19*w - 475. Let c be q(25). Factor -8\/3*n**4 + 2\/3*n - 14\/3*n**3 - 4\/3*n**2 + c.\nAnswer: -2*n*(n + 1)**2*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b + 7. Let w(j) = -j**3 - 7*j**2 - 7*j - 4. Let t be w(-6). Suppose p = 6*p + t*u + 15, 4*u - 25 = p. What are the prime factors of v(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1639*h**3 + 25*h**2 + 26*h + 2. Give v(-1).\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13)**(4\/27) assuming c is positive.\nAnswer: c**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11. Let g = 0 + -1. Is 4 a factor of 3\/(g\/4*c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-4)\/(-28)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -3. Let t = -0.87 - -50.17. Let p = t - 48.8. Which is the nearest to q? (a) -0.4 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/13 + 56*g**2 - 15890*g\/13 + 69564\/13 = 0. Calculate g.\nAnswer: 6, 17, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 8. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 3698\/17, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.5 - 32.81. Let j = z + -0.42. What is j rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + -2 + 6\/(-2). Suppose 2*r + 34 = -0*r - 2*t, -r + t - v = 0. Let a be 22\/33*r\/(-2). Sort -1, 3, a.\nAnswer: -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -20*a - 8. Let t be h(-4). What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 5, e: 2}. Give prob of sequence ecce.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -cd (base 15) to base 9\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 17. Let w be f(-7). Suppose 5*u = 2*d - 190, 0*d + 402 = w*d + u. Suppose 3*n - 2*t - 2*t - 95 = 0, -5*n - 5*t = -d. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(6*(-5)\/(-66315)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 19 - 1. Solve -4*k + w = 3*r, k + 2*k = 3*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248 + 3*a**2 - 498 + 828*a + 250 - a**2 to r*a**2 + q + j*a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42015 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20244\/(-10608) - -2)*(8 - 10) and 9\/91?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2 + 93. Let t(l) = -14*l**2 + 1. Determine t(o(s)).\nAnswer: -56*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-282)\/36 + 8 + (-58061)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 15. Let a be 58\/18 + (-4)\/18. Let c(v) = a*v**2 + v + 1 - 6*v**2 + 2*v**2. Calculate c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091.16 - -0.1?\nAnswer: -1091.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/222)\/(14\/5502) - (4032\/(-2072) - -2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070808967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*a**4 - 102*a**3 + 102*a**3 + (-3*a**3 + 2*a**3 + 0*a**3)*(-4*a - 7*a + 12*a) + (a - 3 + 3)*(0*a**3 + a**3 - 3*a**3) - a**4 + 5*a**2 - 5*a**2.\nAnswer: -68*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 10*n**2 - 13*n - 10. Determine w(11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5976, 5936, 5910, 5898, 5900, 5916, 5946?\n\"Answer: 7*k**2 - 61*k + 6030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 11305*d**2 + 6615600*d - 252580500.\nAnswer: 5*(d - 1110)**2*(d - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 62*a**2 + 79*a**2 - 49*a**2 + (-8*a**2 + 7*a**2 + 11*a**2)*(0*a + 3*a + 0*a) - a**3 - 4*a**3 + 4*a**3.\nAnswer: 31*a**3 - 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22671314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 2, -3 in ascending order.\nAnswer: -3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -36. Let g = 33\/164 - -2\/41. Which is the third smallest value? (a) j (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 45*s**2 + 43*s**2 + 5*s**3 + s**3 - 1. Let a = 0 + 1. Calculate j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) - (sqrt(112) + (3*sqrt(112)*4 - sqrt(112)) + sqrt(112))))\/sqrt(4) - (-4*(sqrt(2800) - -2*sqrt(2800)) - sqrt(2800)))**2.\nAnswer: 396508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37637038, -2, 4 in ascending order.\nAnswer: -37637038, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0 + 3 + 11*u - 2*u. Let j(c) = 5*c + 4. Let p(v) = -1. Let l(d) = -j(d) - 2*p(d). Suppose -n - 20 = 3*n. Give n*l(i) - 3*f(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 1. Let g be (-3)\/(-5) - (-6)\/15. Suppose -42*k + 82 + 170 = 0. Let u(t) = 7*t - 6. Determine g*u(n) + k*b(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-27) - (-572)\/1755\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61576, 2, -23, 1\/4, -8\/7 in ascending order.\nAnswer: -23, -8\/7, 1\/4, 2, 61576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 265754.\nAnswer: 11\/132877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1763835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13489 - 13597 = 9*c + 3*n, -2*n - 32 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (35 + -3)\/4 + 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**6\/60 + v**5\/15 - v**4\/12 - v**3\/3 - 3*v**2 + 3*v. Let a(j) be the first derivative of d(j). Calculate a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 282*s - 3869. Determine b(125).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**3 + g**2 + 2*g - 13. Let b(r) = -11*r**2 - 4*r - 3. Determine -4*b(q) - 7*k(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by -20*(3\/(-12) - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = x + 31227, -116*m = -115*m + x - 7813. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*1 - 6*(sqrt(56)\/sqrt(8) + sqrt(7)).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 4, n: 3, u: 1, o: 6, v: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718 divided by 159.\nAnswer: -718\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((1 - 5)\/(-2 + 76)). Which is bigger: q or -39?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 15. Calculate the remainder when 124 is divided by i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20367 divided by 6789?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14901793\/1173 + 12704. Do -1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3753 = -97*b + 124*b. Let o(f) = -34*f + 1. Calculate the remainder when b is divided by o(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 0 + -19 + 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjvvyjlqvjvjyvv. What is prob of sequence vvv?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 0. Suppose 4*v - g + 2 = 0. Solve -5*j + v*p = -0*p, -5*j - p = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 39 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/30360528 and -107\/144?\nAnswer: 30360528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*i + 2*q, -2*i - 5*q + 2 = 15. Let u = -9 - i. Let v be 4\/(-12)*(6 + u). Which is the closest to -1? (a) v (b) 3\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(-3)*g))\/g**(4\/7))\/(g**1)**(9\/2) assuming g is positive.\nAnswer: g**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 2, p: 2, c: 8}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119.5 + 14.5. Let d = t + 105.1. Suppose j + 68 = 5*j. Are d and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -1226*b + 1236*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1618 - -1617.6585. Let b = -8.65 + 9. Let p = i + b. What is p rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 440, 439?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/20 + 5*b**4\/12 - b**3\/6 - 7*b**2\/2 - 17*b. Calculate h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908908 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 115*v**2 - 1070*v + 5800 = 0. Calculate v.\nAnswer: -10, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 3*g - 3*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(6\/7)\/(l*l**(-1\/2))**(-2\/5) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w**4\/5 + 33*w**3\/5 + 6*w**2\/5.\nAnswer: 3*w**2*(w + 1)*(9*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-7)\/(-2)*-2. Let z(f) be the second derivative of f**3\/2 - 79*f**2\/2 + 78*f. Let k be z(28). Solve 0 = i*t - 2*l + 24, 2*t + k = 4*l - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**6\/30 - 12*x**5\/5 - 15*x**4\/4 + 47*x**3\/3 - 2*x + 65. Factor z(t).\nAnswer: -t*(t - 1)*(t + 2)*(t + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - (20 + -21))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 29913264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386217 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3*n + 630 = 0. Let g = n + -40. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 545.468 + -0.468. Let h = 544.99999526 - v. What is h rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 96590140.\nAnswer: 676130980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 5*p**2 - 33*p - 5. Is g(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161049 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: Solve -100 = -64*l + 4892 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6\/5 (b) -5 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 11*n - 44. Let j be s(11). Suppose -j*d = -204*d + 660. Calculate the highest common factor of d and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-3))\/((-8)\/36). What is the highest common factor of w and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929078343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in 0, 5, -1\/7, -441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/10 - 2\/5. Suppose -3*j = 2*u - 18, -16*j + 8 = -18*j + 2*u. Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452596?\nAnswer: 2, 113149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c**3 + 0 - 8 - 6 wrt c?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(65) - sqrt(65))*2 + sqrt(65))\/(sqrt(40)\/(sqrt(8) + -3*sqrt(8) - sqrt(8))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9924868.\nAnswer: 2, 23, 233, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwwwwwwewwwwww. What is prob of picking 2 w and 2 e?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4286830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293918 divided by 6.\nAnswer: 215653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -93. Calculate the remainder when 187 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 18*z**2 - 4. Let w(m) = 18*m**2 - 3. What is -4*s(h) + 5*w(h)?\nAnswer: 18*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 15 = -4*r, 5*y + 44*r = 49*r + 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 - (-2 - -3). Let r be (1 - (1 - 3))\/g. Let j be (-4)\/2 + 16 - 2. Solve 0 - 8 = -h - 5*x, -r*x + j = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*t - 5*x, -5*x - 10 = -4*t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**7\/((f**(-2)\/f)\/f*f**(-2\/13)\/f)*(f\/f**2*f\/(f*f**(-6)))**(-11\/5) assuming f is positive.\nAnswer: f**(-319\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*m + 232 + 356*m + 4583*m**2 - 9181*m**2 + 4570*m**2 = 0 for m.\nAnswer: -2\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/530 and 29\/7?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(126)\/sqrt(2) + (-2*(sqrt(7) + 3*sqrt(7)*2)*-3)**2.\nAnswer: 18*sqrt(7) + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - 1953.9.\nAnswer: -1981.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93699, -187342, -280985?\nAnswer: -374628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-5.627.\nAnswer: -61.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1597 - 967. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 958? (a) 0.06 (b) 22 (c) 3\/88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -9. Let a = -0.1 - 8.9. Let h = 4 + a. What is the biggest value in 1, g, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67538544*u**3 + 5805*u**2 + 597.\nAnswer: 405231264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 - 1. Let f(n) = -4*n**3 + 2*n**2 - 3*n + 5. Calculate f(r) + 5*l(r).\nAnswer: r**3 - 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(((c**(-3\/4)*c)\/c)\/c*c))\/c)**32*(c\/(c*c**(-1\/15)))\/((c*c**(1\/3))\/c*c) assuming c is positive.\nAnswer: c**(821\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z\/(z\/z**(-16\/3)*z*z)*z*z)\/z)\/z)*z**(-8)*(z**(-10))**(11\/4) assuming z is positive.\nAnswer: z**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 175 = 76*f. Suppose 5*t + 6*y - 30 = 2*y, 0 = -t + 5*y - 23. Solve 0 = -f*k + t + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*4\/72*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(5 + sqrt(2299) + -2) + -1 + (sqrt(2299) - (0 + sqrt(2299))*3)))**2.\nAnswer: 1496*sqrt(19) + 37073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqjqjqqjjjjqjq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25559.20306 rounded to the nearest ten?\nAnswer: -25560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:44 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-7 - (8 - 6)). Let l be (-8)\/((-48)\/30) - 46\/s. Let m = 86\/27 - 3236\/999. Which is the third smallest value? (a) -2 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4897, 4896, 4893, 4888, 4881?\n\"Answer: -q**2 + 2*q + 4896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*k - 9, -n = 5*k - 151024885. Let b be n\/20 + 2\/(-8). Let q = -3851245 + b. What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3630) + sqrt(3630) + 6*-2*sqrt(30))\/(sqrt(10) + sqrt(10) + sqrt(100)\/(1*sqrt(10) + sqrt(10)) - sqrt(110)\/sqrt(44)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 - 54*u**3 - 813*u**2 - 756*u = 0.\nAnswer: -9, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109731405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t - 1. Let r be j(1). Let l be (16\/r)\/(10\/25). Solve l*f - 12 = -3*s, -f + s + 3 = -3*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141547850 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 61470?\nAnswer: 1598220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -37. Let a be -1 + g*-2 + (0 - -3). Suppose -12*u + 17*u - 25 = a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 103?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 31. Let u(j) = -2*j**3 - 4*j**2 - 4*j - 4. Let i be u(x). Factor i*l**4 + 6*l**2 - 1 - 7 - 4*l**3 - 6*l**4 + 8*l.\nAnswer: -2*(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -381430351, -381430351, -381430341, -381430315, -381430267, -381430191?\n\"Answer: s**3 - s**2 - 4*s - 381430347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -203321?\nAnswer: -203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.67 and 262.52.\nAnswer: 175.8884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.346 and 24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35, -5, -19, -14 in increasing order.\nAnswer: -35, -19, -14, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - -5 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67520329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600836 to the power of 1\/2, to the nearest integer?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*a*j*u - 2*a*j + 9*a*u - 7*a wrt j.\nAnswer: -61*a*u - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 182, 308, 506, 800, 1214, 1772?\n\"Answer: 4*f**3 + 50*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**3 - 12*g**2 + 6*g + 21. Is 33 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 577, 1298, 2307, 3604, 5189?\nAnswer: 7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/70*(-5)\/4. Sort -12\/7, 5, n.\nAnswer: -12\/7, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 9*i**2 + 2*i + 12. Calculate p(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20608\/3 - -6869. Let p = -6.4 - -6. What is the nearest to v in -5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z + 10*z**2 + 12*z**2 + 12 + 17*z**2 - 27*z**2 wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by -2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 29*r**2 + 45*r - 37. What is the units digit of q(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from rraonnrrranzaia.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-2\/57)\/r))*r)\/(r\/(r\/r**(9\/5))*r) assuming r is positive.\nAnswer: r**(-808\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*1848\/462\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 5. What is p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c - 13. Let a(f) be the first derivative of f**2\/2 + 2*f - 44. Let r(h) = -6*a(h) - q(h). Determine r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (76 + -50) - (-68 - -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299.1 - 270. Let h = k - 29. Is 2\/329 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 413 + -403. Suppose 2*o - 14 = 4*z, -5*z + n*z = 5*o - 30. Solve -o*i = -0*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7958.09m to kilometers.\nAnswer: 7.95809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9956346 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 25529 + 25529.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 - 204*h - 3680\/9.\nAnswer: 2*(h - 920)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26246 and -2.2.\nAnswer: 57741.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*g - 35*g**2 - 44*g + 44*g**2 + 2 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 40*y - 1308. Calculate a(22).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66\/8)\/3 - 49\/(-196). Suppose -m*t + 160 = 4*v, v = 6*v + 10. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjtjiiituuijtijj. What is prob of sequence jziu?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let o(d) = -d**2 + 4*d + 83. What is the units digit of o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-2\/3)\/a)\/a*a))**(-44\/3)*(a\/(a\/(a**(2\/17)\/a)))\/a*a**2 assuming a is positive.\nAnswer: a**(-3722\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 130324318.\nAnswer: 390972954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837632 is divided by 2164?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7493?\nAnswer: 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 0.21, 0 in ascending order.\nAnswer: -1, -0.3, 0, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/4*a**5 - 3\/4*a**2 + 1\/2*a + 0 - 1\/4*a**3 + 3\/4*a**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4827000 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 64771665?\nAnswer: 194314995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2 + 2 + (-3*v - v + 6*v)*(-5 + 2 + 1))*((-2*v + 0 + 0)*(1 + v - 1) - 7751 + 103*v**2 + 7751).\nAnswer: -505*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 + 2*w + 23. Let g be (-70)\/(-15)*(3 - 6). Let z be b(g). Put 7, -1, z, 5 in descending order.\nAnswer: 7, 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2\/9*y**2 + 0 - 2\/9*y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4 - 0. Let n(g) = -3*g**2 - 4*g**2 - 2 + 5 - g**y. Let z be n(5). What is z rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72964066 and -0.3.\nAnswer: 72964065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.257 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 + 128*w - 120*w - w**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1000\/54)\/5 - (-7 + 11) and -23\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 12305?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*s)*(-3*s**2 + 0*s**2 + 2*s**2).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 25*s + 103 = 0. Let h = 109 - s. Suppose -d - 21 = h*d. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 120615151?\nAnswer: 241230302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsjq when four letters picked without replacement from {q: 3, j: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7949 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 1339*r**7\/210 + r**4\/24 - 29*r**3\/3 + 136*r**2. Find the second derivative of v(y) wrt y.\nAnswer: 16068*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:27 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.63229us in days?\nAnswer: 0.000000001523521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29279\/18 - -1629. Let a = -13\/18 + l. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 2*p**2 + 2*p**2)*(-2 - p**2 + 2) + (-3*p**2 + 0*p**2 + p**2)*(-9*p**2 + 16 - 16 + (3*p - 4*p + 3*p)*(-2*p + 0*p + 0*p)).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/22 + 4\/(-22). Let u = c - 8. Calculate the remainder when (-2)\/u*(-1 + 58) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - h)*(4*h - h - h + (41*h - 8*h + 32*h)*(-6 + 0 + 4)).\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2558, 6432, 12880, 21902, 33498, 47668, 64412?\nAnswer: 83730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -166*z + 106*z + 526260. Does 49 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 + 2 + (-200)\/(-40). Solve 0 = -w*u - 14 + 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 542*c**2 + 9*c - 3. List the prime factors of j(-2).\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-3) + (-10)\/30. Let p(f) = -35*f + 5. Let b be p(o). Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -16. Let m be (-12)\/4 - (-22)\/h. What is the nearest to -0.1 in -7, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.9 - -1?\nAnswer: 568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - p + 1, -q + p = -5. Find the third derivative of -q*l**5 + 22*l - 22*l - 4*l**2 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 + -169. Suppose p - 24 = -2*d + 42, -4*d = -v*p - 132. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*((-57750)\/(-2178))\/(-35)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d**2 - 38. Let y(r) be the first derivative of -3*r**3 - 25*r + 1426. Give 5*n(k) - 8*y(k).\nAnswer: 2*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 8*f**3\/5 - 166*f**2\/5 - 3688*f\/5 + 2856\/5 = 0.\nAnswer: -14, 3\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6) + -5 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 4*f**2 - 5*f**2)*(-3*f**2 - f**2 + 3*f**2 + (6*f - 5*f + 0*f)*(-3*f + 4*f + 2*f)).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 3*t)*(2 + 6 - 3) - 2*t + 9*t - 39*t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 1092 = 32*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 + 118152*i + 6030954 = 0.\nAnswer: -51, 59127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*h - 4*n, -887*n + 80 = 17*h - 882*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 619, 1, -24, 2, -5, 3 in decreasing order.\nAnswer: 619, 3, 2, 1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114520012595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 1062248.\nAnswer: -57\/1062248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7258, -14517, -21776?\nAnswer: -29035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721231969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 36*b - 140. Let x be w(-39). Put x, 2, -4 in increasing order.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3038?\nAnswer: 3038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.16?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34029 to the power of 1\/5, 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 12:34 PM and 1:36 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 7536?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 22 - 34 = 0. Calculate the greatest common divisor of 3051 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3019, -3014, -3033, -3076?\n\"Answer: -12*d**2 + 41*d - 3048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3640552*u**3 - 2732970*u.\nAnswer: 21843312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1464 divided by -1464.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Let r(d) = -2*d**2 + d - d + a. Give r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/20 + 9*u**2\/2 + 4*u. Let i(d) be the first derivative of v(d). Let k(g) = 2*g**2. Determine i(k(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24520 less than 242?\nAnswer: -24278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 smaller than 0.1512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, f: 10, n: 4}. What is prob of picking 2 f?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21746\/3 at most as big as 7249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -743 in -845, 2, 5, 1?\nAnswer: -845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 - 12?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -15, -17, -1, 39, 109?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*g + 4, 0 = 3*g - 4*j + 36 - 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -14. Let d = u + 40. Let t be (-8)\/18 - (-16)\/72. Which is the second biggest value? (a) d (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101000 + 100110011?\nAnswer: 1010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 78.89491.\nAnswer: 75.89491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 0*u**2 + 21*u**2 as h*u**2 + q*u + w and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.02, 0.1, -110?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**2 + 65*k + 6*k**2 + 2*k**2 in the form y + f*k**2 + i*k and give i.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = p. Let r = 0 - p. Solve 2*m = -r*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28899\/6 + 16\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238569*i**4 + 6*i**2 - 8155371*i?\nAnswer: -2862828*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 196*l**3 + 2676*l**2 - 6716*l + 4232 = 0.\nAnswer: 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156099106 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 > 5431007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36 + 38)*(-38)\/4. Let f be 10*-1*j\/(570\/12). Solve f*y + 5 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110010000 (base 2) to base 5\nAnswer: -111414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057815?\nAnswer: 5, 411563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -10 = -u*a - 2*a. Suppose a*y + 6 = 0, -y + 6*y + 85 = 5*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6 = -2. Let i(t) = 5 + 7*t - 5 + 8. Let a be i(j). Solve p = 4*p - a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -87*r + 90*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*r**2 - 4572*i*r + 71436192*i - 3*r wrt r.\nAnswer: 6*i*r - 4572*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1258\nAnswer: -1\/1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588959 is divided by 697.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w)**(-4\/29))**(2\/37) assuming w is positive.\nAnswer: w**(-16\/3219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7) + (6 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 4*f**4 + 11*f**3 - 6*f**2.\nAnswer: -f**2*(f - 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320482 is divided by 5046.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 76 and 66 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 103668936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - -1830?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b - 2*h = -14, 0 = -3*h. Let z = b + 10. Suppose -z = -x - 0. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 0.5 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5206 - 0.5.\nAnswer: -5206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129 by 1678.\nAnswer: 129\/1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 3*f**2 + 2*f. Let v be j(-2). Suppose a - 5*a = v. Suppose 4*r + r = -3*x + 38, a = -3*r - 15. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(80)*-4 + sqrt(80).\nAnswer: -92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 10.1.\nAnswer: -626.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/3 + 1610*c**2\/3 - 7957*c - 28710 = 0.\nAnswer: -3, 18, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4c7227 (base 15) to base 5\nAnswer: -1414402422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-129)\/(-172))\/(6\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1820, 3, -3, 1324 in decreasing order.\nAnswer: 1324, 3, -3, -1820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k*k*k*k**(-1\/11))\/((k\/k**9)\/k)**(7\/10) assuming k is positive.\nAnswer: k**(1563\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/1*(-185)\/(42550\/(-69))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.051, 16.7, -29, -3 in increasing order.\nAnswer: -29, -3, -0.051, 16.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/137873 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21666 divided by -6.\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 332401525?\nAnswer: 332401526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22.8*136\nAnswer: -3100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 4*f**2 + 2*f + 4. Let l be 6\/4*(8 + -10). Let u be n(l). Which is bigger: 15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*j + 2*u + 3*u, -4*j = 5*u - 88. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*6 - 351\/39. Let v be 427\/305 - (0 - a\/(-5)). Solve z = v - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and 127\/1710.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/2 - -4)\/(-2). Suppose 5*w - w - 464 = g. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3\/3 - n. Let g(k) be the second derivative of -2*k + 0*k**2 + 0*k**3 + 0 + 1\/6*k**4. What is g(p(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 140 + 280 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/20 - 4\/10. Suppose x*z = 5*b + 50, 0 = -5*z + 2*b - 16 + 81. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 4*o**3\/3 - 5*o - 64. Let m(n) = -4*n**2 + 4. What is -4*b(j) - 5*m(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.97 + -0.03. Let m = 2 + 2. Let s = m + z. Which is the closest to 0? (a) s (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 4, 0.037861, 4\/9?\nAnswer: 0.037861","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -488, 0.1912, -0.5 in decreasing order.\nAnswer: 0.1912, -0.5, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosoiooooolojojljno. Give prob of sequence lo.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db5 + -2?\nAnswer: db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = w - 4*h, -4*h + 21 - 5 = 4*w. Find f, given that -2*f**4 + 2*f**4 + 2*f**5 - w*f**5 + 4*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -3*j, 3*z + z + j - 7 = 0. Let c(q) = 3*q + 1. Calculate c(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 t when four letters picked without replacement from eteetettttteeettette.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 38364486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -517983.7817 plus -13?\nAnswer: -517996.7817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -17\/3, 8, 5.4 in decreasing order.\nAnswer: 8, 5.4, 3\/7, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-69)\/(-21)*-10)\/4. Let f = r - -17\/2. Which is smaller: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23749)\/(-22)*(-72 - -65)*4\/(-238)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 2 + (-2 - -1). Let x be (-2)\/j - (-22)\/(-70). Let f be 21\/(-55) + 6\/33. Sort x, f, -3\/2 in ascending order.\nAnswer: -3\/2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 6*j + 3. Let d(z) = 4*z**2 - 7*z + 4. What is -4*d(x) + 5*y(x)?\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*r = -318, -954 = -3*a - 0*a - 5*r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:21 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86853.74 centuries in years?\nAnswer: 8685374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-24))\/j**(1\/4)*(j*j**(-2)*j*j)\/j**25 assuming j is positive.\nAnswer: j**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 38 = -2*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**4 + 56764471*u**2 - 381585295*u wrt u.\nAnswer: 36*u**2 + 113528942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1851.618? (a) -1\/8 (b) 0.5 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 44?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386948 divided by -17?\nAnswer: -386948\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25498.\nAnswer: 2, 11, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23, -0.3, -5, -1, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, 3, 48 in ascending order.\nAnswer: -3, 3, 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4660973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 116, 217, 314, 407, 496?\n\"Answer: -2*q**2 + 111*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5800275 by 325.\nAnswer: -17847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 31.5 (b) -5 (c) 7.9 (d) -4\/9 (e) 1\/5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqqy when four letters picked without replacement from {i: 1, y: 6, w: 1, d: 2, r: 3, q: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 2*a**2 + 156*a + 157. What is l(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20164*u**4 - 55964188*u**3 + 38816087761*u**2 + 21334179048*u + 2930273424.\nAnswer: (u - 1388)**2*(142*u + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402709 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 12) to base 3.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b - 8. Let k be s(-4). Suppose 0 = v + v + 4*r - 74, r - k = -2*v. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 68*r + 0 + 1 + 72*r.\nAnswer: 140*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -985.\nAnswer: -4\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 334, -37, 133 in descending order.\nAnswer: 334, 133, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -2*r - 14, 1 = -4*h - 3*r. Let i be (70 - 75)*(-234)\/5. Suppose u - q + 48 = i, -h*u + 388 = 2*q. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31138072 by 7.\nAnswer: 4448296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34.96256 - 1\nAnswer: 33.96256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1809340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, -0.1, 4, -4, 0 in descending order.\nAnswer: 122, 4, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/80 and -99\/4348160.\nAnswer: 4348160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-3) + 1\/(-3). Let g be (-25)\/(-5)*(-2)\/(-5). What is the second derivative of g*a**3 + 2*a + 4*a**3 - 3*a**w wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292149 millilitres in litres?\nAnswer: 0.000292149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x. Let t(a) be the first derivative of -a**4\/12 - 2*a**3\/3 + 3*a**2\/2 + 5*a - 176. Let h(b) be the second derivative of t(b). Calculate h(w(p)).\nAnswer: -12*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*t**2 + 139*t**2 + 40*t**3.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 - 46*g - 18*g**2 - 159*g - 3 - 2 - 64*g.\nAnswer: 2*g**2 - 269*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/2*(-7)\/(-315)*-5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615755 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37aa3 (base 16) in base 9?\nAnswer: 376676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = a + 5*o, 28*a - 24*a - 2 = -5*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - 6*(sqrt(204) - (sqrt(204) + sqrt(204)*1)))\/((sqrt(66)*1)\/sqrt(11) + sqrt(6)))\/(((1*sqrt(80))\/sqrt(5))\/((sqrt(80)*2)\/sqrt(10))))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z = -1747 + 1867 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52250, -52243, -52230, -52211, -52186, -52155?\n\"Answer: 3*f**2 - 2*f - 52251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 969 = -72. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/7 - 48*q**2\/7 + 45*q\/7 + 94\/7 = 0. Calculate q.\nAnswer: -1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l + 190. What is i(25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5109.8 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-748)\/385)\/(-34).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 340 = -92. Let n = g + -865\/8. What is the nearest to 0.1 in 0, -4\/9, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 72. Put -0.1, -2\/17, x, 4 in ascending order.\nAnswer: x, -2\/17, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -402524078, -402524077, -402524076?\n\"Answer: m - 402524079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -2.5. Let k = 712.9 + -715. Let j = n - k. Do j and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**3 - a**2 - 3*a - 1. Determine s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*w - 2408 + 368 = 34*w. Sort 6, w, -18, -10 in increasing order.\nAnswer: -18, -10, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -28*n + n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -95006*b**2. Let g(a) = 169*a. What is q(g(f))?\nAnswer: -2713466366*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14, -1.17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2684139, -2684145, -2684151, -2684157?\n\"Answer: -6*y - 2684133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 214775 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, h: 3, t: 1, g: 3, r: 1}. What is prob of sequence ogo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*y = -58*y - 15. Solve y*l - 14 = -2*t, -5 = -8*t + 3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300724 divided by -75181\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let d = -2.1 + -0.3. Let n = d - -2. What is the biggest value in n, 3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 644749741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30596, -30636, -30692, -30758, -30828?\n\"Answer: j**3 - 14*j**2 - 5*j - 30578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 95, 143?\n\"Answer: 48*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4988 divided by -43.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 9 - (5 - 1). Let b = -715\/57 + 4\/19. What is the common denominator of 3\/4*82\/i and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*l - 14 = 0, 0 = -2*l + 3 - 13. Let g = p - 2. Suppose 184 = 114*i - 160*i. Put 4, i, g, 2 in descending order.\nAnswer: 4, 2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192120 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*h + 48 = 0, -2*h = -3*i + 7 + 39. Calculate the lowest common multiple of 16 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20012 + -10?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -7, 0.5, 0.1, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 4*t**2 - 4*t + 3. Let a be m(2). Let f = a + 6. What is the first derivative of -4*v**2 + 3*v**2 - f + 4 - 2 wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/((2993\/(-41))\/(-73)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -709644 divided by -987\nAnswer: 236548\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 387*v - 16 + 26*v.\nAnswer: -361*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3892545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 3) + -12 - -16 - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3982 + 6210. What are the prime factors of i?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-1 - sqrt(88))*-3)\/sqrt(8) - (sqrt(396) + sqrt(11) - sqrt(176)\/sqrt(4)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.386 and 248742?\nAnswer: -842240.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 103, 259, 511, 871, 1351, 1963, 2719?\n\"Answer: 2*n**3 + 30*n**2 - 32*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m + 4*m - 2*m - m + m + m + m + 0*m + (0 - m + 0)*(-4 + 3 + 0) - 11*m + 23 - 23 + (3*m + m - 7*m)*(0 + 2 + 0) to the form h + l*m and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*t**4 + 4499527*t**3 + 251110124*t**2 wrt t?\nAnswer: -480*t + 26997162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 12*d**4 - 9*d**3.\nAnswer: -3*d**3*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*(r*r**(3\/7)*r*r)\/r)))**(-1\/19)\/((r\/((r\/(r\/(r\/r**(-4)))*r*r)\/r)*r)\/r*r)**(-8) assuming r is positive.\nAnswer: r**(-4280\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.5981 - -1.67.\nAnswer: -24.9281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by -168?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*r**4 + 3*r**3 + 2077*r**2*y - 19*r*y - 7*r - y + 103 wrt r?\nAnswer: 156*r**2 + 18*r + 4154*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3842000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3 + 9\/2*t**2 + 3\/4*t**4 + 3*t + 3\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 61, -1 in decreasing order.\nAnswer: 61, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -527016 divided by -7?\nAnswer: 75288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 3*j + 3. Let q(y) = 7*y**2 + 5*y - 5. Let z(g) = 3*q(g) + 5*v(g). Let x(c) = -c + 20 - 20. Determine z(x(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (-744)\/60 + 3*(-4)\/(-30). Which is the closest to 1? (a) -11 (b) f (c) 0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-49)\/((-5635)\/(-138)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249 by -3.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvzvzzzzzzz. What is prob of sequence zvzz?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 35. Suppose 9*z = 14 + y. Sort -3, 0, z in ascending order.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11316 divided by 2829\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277182 to the power of 1\/2, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -901 - -1421. What is the common denominator of (-1)\/(-12) - (-1)\/(-4) and (4\/(-55))\/((-8)\/b)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-3))\/(g**(-4\/5)\/g*g))\/(g**(4\/13)*g*g*g**3))**(-30))**(1\/18) assuming g is positive.\nAnswer: g**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 4*j - j)*((-4 + 1 + 2)*(0 + 1 - 9) - 1 - 4 + 4 + (0 - 1 + 4)*(3 - 3 - 1)) to k*j + f and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 2538, 0 in increasing order.\nAnswer: -12, -3, 0, 2538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*r = 1 - 17, -5*k = -4*r. Let x = 10 - k. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 360355?\nAnswer: 360362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = 1. Let h = -15.65 + 0.05. Let d = h - -20.6. Which is the nearest to 0.1? (a) j (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100011111000111111 (base 2) in base 12?\nAnswer: 17893b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 172\/3. Let s = -1 + 1.2. What is the third biggest value in q, s, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216920 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372 + 592.9. Let q = -221 + w. Let i = -3.3 + -12.7. Sort 3, q, i in ascending order.\nAnswer: i, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2310450 (base 7) to base 11.\nAnswer: 187708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-116)\/(-20) - ((-42)\/(-15) + -3). Let w be (12 - s) + 0\/1. Suppose w*k - 299 - 349 = 0. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 70640*l**2 - 706036*l + 635400.\nAnswer: -4*(l - 17650)*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6616264 (base 8) to base 12.\nAnswer: 718304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*a - 2, s - 3*a - 1 = -0*a. What is the closest to s in 4, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5376, -5374, -5372, -5370, -5368?\n\"Answer: 2*a - 5378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - b + 15, 5*g - 3*b = 30. Let f(x) = -x**3 + 13*x**2 - 5*x - 37. What is the tens digit of f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 1500108*a - 36000288.\nAnswer: -4*(a + 24)*(a + 375003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17. Suppose -2*z - 3*z + 2*s = -22, d = z + 4*s. Put z, 3, -1 in decreasing order.\nAnswer: z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/7)*f*f**(1\/9)*(f**(-1))**(4\/5) assuming f is positive.\nAnswer: f**(143\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.09 - -14.56. Let f = g - 7.57. Which is the biggest value? (a) f (b) 21 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdddxd. Give prob of sequence dxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z - 11. Determine d(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -540715064?\nAnswer: -540715058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b = -53 + 53 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (182\/4 + 2)*(-48)\/(-10). Suppose 8*k = 5*k + z. Suppose -5*n + 564 = -k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34151.1 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 62328888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2052*j - 182 = 2055*j, -169 = 77*x - 4*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1964 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 3*b**2 - 4. Let t be w(-2). Is t < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose 5*x - 25 = -v. Suppose -5*z = -x - 15. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -1. Let q = y - 0.3. Let d be 60\/(-15)*(-5)\/(-10). What is the closest to d in -4\/5, q, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333111 + 14?\nAnswer: 1333130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*x + 4*l + 259 = 69*x + 316, 0 = x - l - 26 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42108481?\nAnswer: 43, 89, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -10674a (base 11) to base 14\nAnswer: -45d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1266*g + 8852. What is f(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/78 + 15\/26. What is the smallest value in -14, s, -1\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -5 (c) -0.2 (d) -0.0024 (e) -0.204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 3 = 29*u. Let c be (-60)\/(-3) + 0*(-3)\/u. Let t(w) = -w**2 + 21*w + 7. Does 27 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(429))\/sqrt(11))\/((sqrt(132) - sqrt(33))\/sqrt(11)) + (((2*sqrt(143))\/sqrt(11))**2 - 3*3*sqrt(13)))*-5.\nAnswer: -260 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 45238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1474 + 1479. Let k(i) = -22*i - 5. Let m(x) = -221*x - 51. Calculate n*m(l) - 51*k(l).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 64 = -5*x. Calculate the remainder when 36 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -775, -696, -553, -346, -75, 260?\n\"Answer: 32*c**2 - 17*c - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-15)\/9 + 384\/(-18). Let w be -1 - (9\/i + 26\/77). Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.153526 months to centuries.\nAnswer: 0.001794605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 2.9. Let o = 1.799923 - k. Round o to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/5 - -8)\/((-4)\/(-38)). Let s = -26 - -34. Solve 0 = s*n - 3 + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 12. Let s = b - -11. Suppose 0 = s*f - 756 + 142. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 272 in 2\/9, 2, -7.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*z**3 + 6 - 3*z**2 - 5\/2*z = 0. Calculate z.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/25)*u)*u\/u**(-1))\/(u\/(u**(1\/3)\/u)*u*u**(2\/11)*u*u)*(u*u**4*u)\/(((u\/(u\/u**(2\/11)))\/u)\/u*u)*(u**(1\/12)\/u)\/(u\/u**(-2)) assuming u is positive.\nAnswer: u**(-2861\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2 - -8) + 0. Suppose -i*v + 494 = 166. Calculate the remainder when v is divided by 2\/(-3) + (-70)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(2 + sqrt(2448)))**2 + (sqrt(2448) - ((-1*sqrt(2448)*3)**2 - sqrt(2448)))).\nAnswer: -456*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*u + 109 - 109)*(-2 + 24 + 53)*(2*u + 0*u + 0*u).\nAnswer: 15000*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/2 + 255*z**4\/2 + 1341*z**3 + 1761*z**2 - 31101*z\/2 - 32193\/2 = 0?\nAnswer: -73, -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (20 - 14) + -4 + -2 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449 > -573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 22. Sort 1, h, -20, -1\/4 in descending order.\nAnswer: h, 1, -1\/4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, 82, 282, 562, 922?\n\"Answer: 40*y**2 - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = d - 135 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110359?\nAnswer: 110359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/3, -2, -3, -20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -8*i**3 + 483*i. Let d(n) = -24*n. Determine 9*d(y) - 4*x(y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/33)\/(13\/156).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -200259265 < -200259260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:25 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29\/6*r**3 - 14\/3*r + 3\/2*r**5 + 59\/6*r**2 + 2\/3 - 5\/2*r**4 = 0. What is r?\nAnswer: -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57208 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + 49*s**2 - 12*s - 40. Give k(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k - 172. Is 14 a factor of a(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + n + 2 - 3. Let o be k(-2). Put o, -5, 4 in ascending order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 229.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265 + 279. Solve -6*y + 7 = -4*y - l, t = y + 3*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 + -109.9. Let j = c + 109.2. Which is bigger: j or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/3 + 43860*u**2 - 21345368*u + 7762541072\/3 = 0. Calculate u.\nAnswer: -66274, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 7) in base 10?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/28)\/(4\/28). Let m(z) = z**2 + 8*z + 9. Calculate m(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28345*y + 28177*y - y**2 + 2*y**2 - y**4 + y**3 in the form a + g*y**4 + v*y**2 + q*y**3 + l*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + ((4*sqrt(112)*-1 + 0)*-1)**2).\nAnswer: 3578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10)*-16 + 5. Suppose v*o = 5*o + 16. Which is the closest to -0.06? (a) 3 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1\/4, 1.156, -4, 3?\nAnswer: 1.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 16. Let a(w) = w - 1. Let z(y) = -1. Let f(q) = a(q) - z(q). Calculate the remainder when f(n) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -576694 - -386504. What is d rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (2 + -7))\/(-2). List the prime factors of (a + 11)*5\/60*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259331 or -259538?\nAnswer: -259538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7324 - 83*b**2 - 7324 to the form z*b + a*b**2 + j and give a.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 223. Let p = o + 385. What is the highest common divisor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + a**3 - a**4 + 2*a + 2*a + 0*a**3 - a in the form m*a + s + g*a**4 + j*a**2 + p*a**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546255 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 7 - (-2)\/2. Suppose 0*s + 4*s - 2*j = 20, 16 = n*s - j. Suppose -s*r + 269 = 4*l + 56, 5*r = -3*l + 168. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652970773.\nAnswer: 7, 13, 7175503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2208, 4393, 6544, 8643, 10672, 12613, 14448, 16159?\nAnswer: 17728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 - 5*s + 115. Calculate h(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13)\/p)\/(p**(4\/7)\/p))\/(p*p**1*p)**(-22)*(((p\/(p**0\/p)*p)\/p)**23)**(-7) assuming p is positive.\nAnswer: p**(-23334\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**3\/3 - 6052*f. Let n(i) = 29400*i. What is s(n(a))?\nAnswer: -58800*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(((-8)\/48)\/((-21)\/2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-6\/7)*c*c*c**(-4))\/(c**3)**30 assuming c is positive.\nAnswer: c**(-636\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q - 107. Give i(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -28*y + 39*y**2 - 61*y**3 - 13 + 62*y**3 + 105*y. Is x(-36) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 18. Let t be m(-8). Let q(a) be the second derivative of 2*a**3\/3 + 2*a**2 + 12*a. Let l(h) = h + 1. Give t*q(d) + 6*l(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 1 - -6 - (-1 - -2). Calculate the remainder when 154 is divided by (62\/(-3))\/((-4)\/f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -2.9. Let y = 0 - f. Let u = -0.38 + -0.02. What is the nearest to -0.1 in 2\/9, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.315 + 5.915. What is the third smallest value in -1.28, -3, 5, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/18 - 286*s**6\/45 - 643*s**5\/15 - 172*s**4\/9 - 6875*s. Let z(q) = 0. What is q?\nAnswer: -4, -2\/7, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*14*7\/1323?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) -2 (c) -0.3 (d) 1\/8 (e) 2\/19 (f) 35 (g) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 8. Let k be -3*2*(-6)\/12. Let t(p) = p + 2. Let l be t(k). Suppose l - 10 = w. Determine g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s - s. Let r be 10\/(-2) - (-2 - s). Is (51\/r)\/((-2)\/4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7836311 - 144.\nAnswer: -139.2163689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 9:26 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 134 = 30. Let v = 80 + q. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 8) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7165621 is divided by 721.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47513779*h**3*y**2 + h**2 + 143*y**2 - 9486*y wrt h.\nAnswer: -285082674*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:15 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 5. Let m be d(-4). Let x be (-1 + -2)*5\/m. Suppose x*u - u - 36 = 4*q, 2*u - 3*q - 23 = 0. Solve -7 = u*k - 5*c, -12 = k + 2*k + 3*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.010123\nAnswer: -0.00030369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 13406226*n**2\/5 - 14977241296923*n\/5.\nAnswer: -3*n*(n + 2234371)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2\/5)))**(1\/50)\/((d*d**2)\/d*d)**20)\/((d**(3\/10)*d)\/(d**(-7)*d)*d**(-2)*d*(d*d**(-2\/11)*d)\/d) assuming d is positive.\nAnswer: d**(-184553\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9097599 to the nearest integer?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3585262 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 3:37 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301772, -1207078, -2715922, -4828304, -7544224, -10863682, -14786678?\nAnswer: -19313212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1840 - -1832. Put h, -7, 4 in decreasing order.\nAnswer: 4, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 7*s + 5. Let d = 9 + -16. Let g be x(d). What is the first derivative of -g + 3*u + 2 - 2*u + 0 wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2459 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-32)*3)\/(-3 + 304182\/101392)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + w**4 + 0*w**4 + (2*w + 0*w - w)*(-1 + 1 + w**3) + w**4 + w**4 + 2 + 0*w**4.\nAnswer: w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43064.84ns in seconds?\nAnswer: 0.00004306484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**2*l - 4*j**2 + 450867*j*l**3 - 3*j + 751366299*l**3 wrt j.\nAnswer: -8*j*l - 8*j + 450867*l**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*346.97.\nAnswer: 1040.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*f - 2 + (-1 + 1 + 1)*(-3*f - 3*f + 5*f) - 335*f - 581*f - 1473*f.\nAnswer: -2388*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -241, -807, -1911, -3733, -6453, -10251?\n\"Answer: -30*n**3 + n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/6)*t**17*(t**(2\/27)*t)\/(t**6\/t) assuming t is positive.\nAnswer: t**(715\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 - 14*z**2 - 8*z + 56 = 0.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11626 - 11625.957. What is the second biggest value in m, 1, -0.1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 42449385*q + 42449390 = 0. What is q?\nAnswer: -1, 8489878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10724 and 42218856?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4238*y - 148129. Determine z(35).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4650 = 4656. Let p = -4 - -9. Solve -a*l + 10 = -5*r + 2*l, -p*l + 4 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19980499.\nAnswer: 7, 11, 47, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*l + 4*z + 48 = 132*l, -2*l = 5*z - 38. What are the prime factors of 353\/((7\/l)\/((-9)\/(-6)))?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/12 - b**3\/6 + 9*b**2\/2 + 2*b + 14. Suppose 0 = 7*x - 2*x. What is m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -82, -184, -326?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -62.1. Let n = q - 1.1. Let h = 15 + -11. Sort h, n, -3.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60678155 is divided by 12135624.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-2*-2*sqrt(1900) - sqrt(1900))*-3 + -5)**2*1.\nAnswer: -4155375 - 8100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223567 is divided by 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 79. Let m be i(13). Which is greater: m or 1\/37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(539) + sqrt(539) - sqrt(539))*4)**2*-4 + (-4*(sqrt(528) - 2*sqrt(528)))\/((sqrt(108)*-2 + sqrt(108))\/sqrt(9)).\nAnswer: -34752 + 1784*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4*k**2 + 11 - 20.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - -124?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 2*n**2 + 0 + 4 + n**3 + 2*n - 3. Let q be j(2). Does 26 divide (6\/q)\/((-2)\/(-390))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 7. Let j(v) = 2 - 4 - 16*v - 18*v. Does 17 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5 + 110*v**4 + 3525*v**3 + 27500*v**2 + 62500*v = 0.\nAnswer: -50, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = 8*q + 120, 170*q - 84*q - 41 = 4*k + 83*q for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 204*g + 49362. Give k(-242).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -32?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101222002 + -11?\nAnswer: -101222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 362096 divided by 4\nAnswer: 90524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43852? (a) 5 (b) -0.05 (c) -0.2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2454, -10954, -25122, -44958?\n\"Answer: -2834*x**2 + 2*x + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 11:34 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14810 divided by 8\nAnswer: 7405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Solve 3*r - 5 = p, x*r - p = -r + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.2727 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-154) - (-34)\/(-4760)*-30.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 22*m = 19*m - 50 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -8*v + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -207c0f - -39?\nAnswer: -207bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4 - 4*o**3 + 157*o**2 - 140*o - 300 = 0?\nAnswer: -15, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 17312031?\nAnswer: -17312035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 19 - 3)*(-4 + 3 + 2)*(3*x + 2*x - 3*x) + 5 - 5 + 2*x + (-4 + 2 + 1)*(-3 - 2*x - 9*x - 60*x).\nAnswer: 97*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 2\/13 (c) -0.2 (d) 4\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11.1. Sort 3, 4, n in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 5*o - 20. Let d be -3*2\/12*o. Let z be (-8)\/(-4)*1\/2. Sort -1, z, d in descending order.\nAnswer: z, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 128 (b) 0.05 (c) 1 (d) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.971003 - -0.4\nAnswer: 2.371003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = -c - 164, 4*c = 5*y - 681. Suppose -5*q - s + 1396 = -0*q, 5*s + 832 = 3*q. Let l = q + c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*r + 96 = 2, -5*r = g - 110. Round g to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1289 and 1255486?\nAnswer: 1255486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1396 - 1386.116. Let s = r - 9.9. What is s rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3*3)\/((-36)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(-2*sqrt(10)) + (3 + sqrt(637) - sqrt(13))**2.\nAnswer: 71*sqrt(13)\/2 + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 29. What is the common denominator of 7 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwtvrtrhvtxtvvxtxv. Give prob of sequence hv.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112 + 10121201?\nAnswer: 10021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 98 = -1473. Let m = r - -402. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 307?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*u - 20 + 25 - 84*u)*(u + 4 - 4)*(-2*u + 3*u - 3*u).\nAnswer: -22*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 11*x**2 + 91*x - 485. Let k be q(11). Solve 61*f - k = -25*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (16 + -62 + 28 + 2 - (-1 - 109))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 5 + (5040 - (-4 + -4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5) + 5 - sqrt(45)*-3) + (1 + sqrt(605) + sqrt(605) + -5)**2*-4.\nAnswer: -9739 + 709*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*3\/21 + (-3264)\/(-12600). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 448144.\nAnswer: 122343312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40054 divided by -1.\nAnswer: 40054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 14*w - 13. Let a be c(-10). Let d = a + -23. What is the smallest common multiple of 18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h + 67*h = 35*h + 2508 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*2112\/(-128)*7\/63.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000082464 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/8 - 675*c\/2 + 151875\/2.\nAnswer: 3*(c - 450)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 108\/(-30)*10\/(-4). Find the second derivative of 39*x + 41*x**2 - d*x - 357 + 357 wrt x.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -8718220, -5?\nAnswer: -8718220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2861\/14 + 409\/2. Let v = 113\/56 - 7\/8. Factor v - d - g*d**2.\nAnswer: -(d - 1)*(d + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 2. Let g be x(3). Let p be (-5)\/(-2)*(-6 + g). Sort 4, p, 5 in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9183000 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-5) + -1 + 6 + 155\/(-25). Solve m*n + 129 - 121 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -185.06. Let a = 0.06 + r. Let t = 0.77 + -2.77. Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1903 - 44997 = -1876*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlqll. What is prob of sequence ll?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = -6*a + a, 3*a + 2 = -2*x. Suppose -4*b + x*o = 37, 2*b + 1 = -0*o - o. What is the units digit of (b\/(-3) - 1) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*q = -q - 52, t = -q + 7. Let j be (-2 + 4)*t\/(-5). Let y(u) = -3*u - 2. Determine y(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -9*i**4\/7 - 10*i**3 - 128*i**2\/7 + 32*i\/7 = 0.\nAnswer: -4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4192 is divided by 131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d + d, 0 = 3*q - 3*d - 3. Let w be 1 + (-2 - q) - (-88 - -18). What is the highest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1*-4 - (2*sqrt(448) + 3))**2 - ((sqrt(245)*1)\/sqrt(7))\/(sqrt(60)\/(sqrt(12) - sqrt(12)*-1 - sqrt(12))).\nAnswer: 287*sqrt(7) + 16137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g = 32*g - 136 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 + 2 = 0. Suppose 9*n = 65 - 20. Suppose 8*o + 5 = t + 6*o, -4*t - n*o = -20. Solve -5*q + 5 = t*v, -4*v + 2*v + y*q = 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -285. Let m = r - -12. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27842, 27919, 27996, 28073, 28150, 28227?\nAnswer: 28304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + p = -2*j, 14 = 5*j - p. Suppose -11 = j*m - v - 37, 0 = m - v - 12. Let o = -8 + m. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 + -1 - 130). Does 11 divide (8\/12)\/(8\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - r + 422, 24*s = 23*s + 4*r + 412. What is the lowest common multiple of 112 and s?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-53)\/(-742))\/((-33)\/(-21) + 1). Let a(k) be the second derivative of -2*k + 2\/9*k**3 + 1\/2*k**2 + y*k**4 + 0. Let a(u) = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*g + 30*g = 855 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7\/12, 3, -4, 333, -5.\nAnswer: -5, -4, -7\/12, 0.1, 3, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41002421 (base 6) to base 14\nAnswer: -225405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**0)\/j)**(-24\/5)\/(j\/(j*j**0))**(-10\/9))\/((j**0)**(3\/10)\/(j\/j**(2\/9))**(2\/19)) assuming j is positive.\nAnswer: j**(14\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2402*d**2. Let q(a) = -1057*a. Give h(q(x)).\nAnswer: 2683632098*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 33*l**5\/20 - l**4\/6 + l**3\/3 - l**2\/2 + 67*l. Calculate the remainder when v(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/120 + m**5\/15 - 199*m**4\/12 + m**3\/6 + 45*m**2 + 14*m. What is the second derivative of n(o) wrt o?\nAnswer: 6*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -20*q**5\/3 + 1536726*q**4 - 5993134*q**3 + 2765938*q**2\/3 + 9373866*q + 922020 = 0.\nAnswer: -1, -1\/10, 2, 3, 230505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(3*((2*sqrt(243) - sqrt(243)) + -1) + 3 + 5).\nAnswer: 20 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, -3949, -11857, -22935, -37183?\nAnswer: -54601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6365 and 5092.\nAnswer: 25460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 145854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - -3*sqrt(99)*3)\/((sqrt(189)\/sqrt(7))\/sqrt(3)) + (-6*sqrt(88)\/sqrt(128) - (sqrt(352)\/(sqrt(8)*-1))\/sqrt(4)).\nAnswer: 19*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9870603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26 - -8 - ((-20 - (55 - 31)) + 29)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.36 - -5.36. Sort j, -3.6, 0.2.\nAnswer: -3.6, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3706117127, -3706117129, -3706117131?\n\"Answer: -2*d - 3706117125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0712340299 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-51)\/6)\/((-6)\/12). Suppose -96 = -4*x + 2*q, l = x - 4*q - 0. Let h(b) = 18*b - 29. What is the remainder when x is divided by h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/54 + 5*x**3\/27 + 16*x. Suppose k(d) = 0. Calculate d.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1821, -3639, -5457, -7275, -9093, -10911?\nAnswer: -12729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 k when three letters picked without replacement from ikvevkinevvvkev?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {i: 13, e: 2, b: 3, a: 2}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0668 times 0.03712\nAnswer: -0.002479616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 495.306um?\nAnswer: 0.000495306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-6)\/2 - 1. Solve 0*m + 5*f = -2*m + 4, u*f = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -170, -166, -162, -158, -154?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4113, 2, -5, -6, 3, -4.\nAnswer: -4113, -6, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 0.35.\nAnswer: -0.0525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-429)\/165*-5 + -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72277*x**3 - 4*x - 7486?\nAnswer: 433662*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.054 + 0.072. Let i = 3.982 + v. Let l = -8 - -7.6. Which is the biggest value? (a) l (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1422*p = 1420*p + 9358. Let b = p + 1588. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*z = -174, -2*z - 105 = -4*h + 121. Is 2\/(-5) - (-74877)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1329579718+-473221\nAnswer: -1330052939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**3 - 73*f**2 + 35*f + 131. Is d(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17228839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 7) to base 4.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**3 + 29*v - 29*v + (4 - 4 + v**3)*(0 + 4 - 5).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 1 - 45\/2*u**2 - 2*u. Is k(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63034599*i**4 - 45060332?\nAnswer: -252138396*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/288 and -211\/2648520?\nAnswer: 10594080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6154 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2. Let i(o) = 51*o**2 + 21*o. Let h(j) = -25*j**2 - 9*j. Let k(s) = 7*h(s) + 3*i(s). Give 4*k(f) + 11*z(f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.02 and -16863?\nAnswer: 101515.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46625879317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17*q**2. Let p(i) = 421*i - 1. Let f(l) = 32*l. Let w(t) = 26*f(t) - 2*p(t). Give w(x(g)).\nAnswer: 170*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -28. Let j be 44\/x - 9\/(-6). Suppose 3*p - 5 = j. What is the lowest common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 34*g**2 - 3*g + 36. Let x be m(17). What is the remainder when 45 is divided by x\/6*120\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-112)\/(-21))\/(-8)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10745856 divided by -2686464\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 4)*(-3 + 4 + 1) + 5 - 10 + 8)*(6 + 8 - 6)*((-4 - 1 + 3)*(-2 + 2 - 2*m) + 5 - 5 + 4*m).\nAnswer: 64*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, v: 1, f: 9}. Give prob of sequence ofv.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -9, -13, -15, -9, 11, 51?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -250 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(39)\/(sqrt(12)\/sqrt(4)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1444754 (base 8) to base 3\nAnswer: -202221100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*a + 7 = 43, -51 = 5*j - 2*a for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 603 = -b, -3*o = 2*b - 276 - 170. Suppose 14*r = 8*r + 24. Let v be (-74)\/(-4) + 2\/r. Calculate the greatest common factor of v and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0937221ms in nanoseconds?\nAnswer: 93722.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 598 - 578. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 + 123722 + 3*d**3 - 123722.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/24 - n**3\/3 + n**2\/2 - 1. Let j(i) be the second derivative of y(i). Let s = 177 + -172. What is j(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*m - 227*m - 5*i - 1 = 0, -3*m = 3*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-12)\/27*36\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.288858 to three decimal places.\nAnswer: 0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*u + 19. Solve 0 = -2*x + 2*h, -u*x - 32 = -0*x + 5*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:13 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 21 = 4*f, -3*k - 21 = 1427*f - 1431*f for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.26346.\nAnswer: 0.16346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 19\/(-11)) + 2. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -7, 0.4, -1161, -3\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -138, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.99 - -0.952. Let a = -43933.96200084 + 43934. Let c = a + y. What is c rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 + 14 - 38)*(-o - 4*o + 3*o) to the form z*o + i and give z.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 9300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 2*n - 2*n)*(-785*n**2 + 178*n**2 - 1358*n**2) + (n**2 + 3*n**2 - 7*n**2)*(-2*n - 1 + 1) to the form h*n**3 + x + v*n + f*n**2 and give h.\nAnswer: 1971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.4, -2\/3, -18, -6, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 5, 1, 83, -6, -2\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209092897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 554610 and 258685?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -541 + 185. Let h be k\/(-7) - 1\/(-7). Let g = h + -31. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (46\/(-8))\/((-3)\/12). Let f be (3 - 49\/21)*(-63)\/(-6). Suppose -4*t + q = 5*c + f, 2*t - 8 = 3*c. Put 3, t, 1 in increasing order.\nAnswer: 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from qfrrrqqfqwroqrrfwwfn?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 523838 and 6961976?\nAnswer: 215821256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -51. Let o = -7 + g. What is the third smallest value in o, 5, 1\/3, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 481 - 445. What is the remainder when 104 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 0, -k = 2*t - 45 - 7. Solve -3*m - 14 = -l, -3*m - 4*l - t = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2083, 2077, 2059, 2023, 1963?\n\"Answer: -o**3 + o + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**(-1\/16) assuming a is positive.\nAnswer: a**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2 + 213*p - 430. Let a be t(2). Solve -25*g = -a - 189 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 371, 840, 1309, 1778, 2247?\n\"Answer: 469*k - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = -5. Let c = x + 16. Suppose 50 + 94 = c*q. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s + 11. Suppose 10 = 2*f + 4. Suppose 4*i - 5*i + 5*j = 5, s*i - f*j - 14 = 0. Solve -24 = -i*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*z + 12398 - 11702. Calculate the least common multiple of z and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415830 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*q + 17. Let i be (-420)\/24*12\/(-5). Let j = q + i. What is the greatest common divisor of j and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -221, -23 in descending order.\nAnswer: -23, -206, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 divided by 504631?\nAnswer: 1095\/504631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from lllrrlrrlrlrr?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72) + (sqrt(16)*-3 + sqrt(16))\/sqrt(8))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeetetteteet. Give prob of sequence eett.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -f + 65, 4*f = -5*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 - 3*o + 5*o - 100 in the form a + z*o and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971844152?\nAnswer: 2, 439, 276721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h - 12 = -28*h. Suppose 19*y = -h*r + 18*y - 17, r + 4*y + 8 = 0. What is the nearest to -1\/2 in r, -1\/4, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11615\/207 - 1\/9. What is the highest common factor of f and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 679. Let o(z) = z - 671. What is 5*l(p) + 4*o(p)?\nAnswer: -p + 711","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 7. Suppose 5*y - 35 = 5*g, 0 = 4*g + 2*y - 17 + 15. Let p be -1 + (-2 - g\/r)*-1. Which is the third biggest value? (a) -3 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*r - 4, 0*y = -y - 2*r + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -23.8. Let q = h + -2. Put 5, q, -2 in descending order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n**2 + 4*n**3 - 10 + 1\/60*n**5 + 0*n**4 + 0*n. Let r(k) be the third derivative of l(k). Let x(o) = -4*o. Give r(x(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r**2 - 6*r**2 - 14*r**2 - 12*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 4*a - 46, 2*a + 8070 - 8090 = 2*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 816*f**3 + 26236*f**2 + 46800*f - 73854 = 0.\nAnswer: -373, -33, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 29*d + 123. Let w be h(5). Suppose -2*u + 24 = -l - 3*l, -4*u + w = -3*l. Factor 4\/7*j**u - 2\/7 - 2\/7*j**2 - 1\/7*j**5 - 4\/7*j**3 + 5\/7*j.\nAnswer: -(j - 2)*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 13) to base 5\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, -2\/5, 0.4, 0.5 in decreasing order.\nAnswer: 1, 0.5, 0.4, -2\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75712 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 11*g + 149 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -259. Is 221 + 4*3\/r a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = -26*q - 605 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 14*y + 5. Let l be p(-14). Find the second derivative of -k**2 + k**2 + 8*k**l - 2*k**5 - 11*k wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10494850 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -q - 2*k, -5*q - 5*k + 247 = 37. Let u be (65\/q)\/(1\/3). Solve 3*n + 16 = -u*a, -a = 3 + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.6 - 0.6. Let m = j - 7. Let q = -0.1 - 0.2. Which is the closest to m? (a) 0.3 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - (-3*(-4*sqrt(216) + sqrt(216)) + sqrt(216)))\/((-1*sqrt(40)\/sqrt(4))\/sqrt(5)).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5513592 by -21288.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*t + 4*x, -4*t + 5*x + 500 = 483 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228867.\nAnswer: 3, 76289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964887833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 divided by 155074?\nAnswer: 665\/155074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57, 4, -2 in increasing order.\nAnswer: -57, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 15*v**2 + 114*v + 1748. What is w(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*a + 199, -2*o + 138 = -0*o - 4*a. Suppose 0 = -4*m + 159 + o. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178114417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:43 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/9 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 113*q**3\/6 - 116*q**2 + q - 14. List the prime factors of k(7).\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:21 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lojooojomvvo. Give prob of picking 1 v, 1 m, 1 o, and 1 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11049 and 24?\nAnswer: 88392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14416849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 24*v = 650. What is the highest common divisor of 110 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1814 + 18*d**3 - 10*d**2 + 1814 wrt d.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - i, 8*f = 5*f + i + 4. Let r be (-3)\/(-4) + (117\/44)\/f. Solve 2\/11*d + 16\/11*d**3 + 24\/11*d**4 + 4\/11 - r*d**5 - 28\/11*d**2 = 0.\nAnswer: -1, -1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*i + 40 = 0. Solve -5 = -5*b + i*u, 3*b + 9 = -5*u + 2*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463314 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 6*f**2 - f - 2. Let c be ((-21)\/(-9))\/(2\/6). Let k be r(c). Suppose -i = l - 15, -5*i + 5*l = -k - 65. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, 2, -40 in increasing order.\nAnswer: -40, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 4*t)*(-4*t**4 + t**4 + 0*t**4) + 0*t**2 + t**5 + 0*t**2 + (3*t**3 + t**3 - 5*t**3)*(-t**2 + t - t) + 17*t**3 - 17*t**3 - 3*t**5.\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1110*w + 5. Let n(i) = -7*i**2. Determine n(c(y)).\nAnswer: -8624700*y**2 + 77700*y - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 159. Suppose 11*a - 5585 - 1741 = f. What are the prime factors of a?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 23, 3 in decreasing order.\nAnswer: 23, 3, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 41*m - 273. Give r(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -465\/94?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose 5*y - 30 = -5*o, 2*y - 94 = -92. Solve o*n + 2*p = 0, -2*p - 23 = n + k*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8*f = 5*f - 19, 0 = 2*g - f - 8. Let z be (-36)\/14 + (4 - 2). What is the closest to z in 2, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/4 (b) -1 (c) -2.3 (d) -4\/3 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0617, -50144, 3?\nAnswer: -50144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*p + 3782*p = 641*p - 256668 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (207\/(-1288))\/((-24)\/1766618). Let y be (2\/3)\/(1\/17742). Let n = y - o. Calculate the common denominator of 61\/20 and n.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1061*n - 91162. Determine s(-86).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zop when three letters picked without replacement from {p: 1, z: 2, l: 1, o: 1, c: 2, s: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13601175 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18986 * 5\nAnswer: 94930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111868 is divided by 18050.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-820)\/(-60))*(-18)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = 2*g - 9, 5*t = -2*g + 15. Suppose 5*z = -4*j - 46, -2*j = 4*z + 9 + 23. Let l = -6 - z. Solve l = -h - h - g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2. Let a be 1\/(1 + (-1)\/2). Suppose -z + 13 = -2*k, 0*k - k - 20 = -2*z. Let i(w) = 9 - a*w**2 - z. What is q(i(r))?\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*g**5 - g**2 - 51*g wrt g?\nAnswer: 11520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 4*b**2 + 3*b)*(-4 + 0 - 2) + 3*b - 3*b + 2*b**2 to the form s + n*b**2 + x*b and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2. Let f(m) = -71*m - 331*m - 82*m + 717*m. Calculate f(i(g)).\nAnswer: 699*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168119 and 240170?\nAnswer: 1681190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 5. Let n be l(0). Suppose 16 = n*b + 1. What is the second derivative of -k**b - k**3 + k - 2*k - 6*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Let j(c) = 4*c - 2. Let m = 37 - 38. Let o be -5 + m*(-12)\/4. Determine o*j(s) - 4*i(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (1 + 2)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -24 + (1 - 7) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49826 is divided by 104.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4359 = -44*n + 7808 - 4241 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -20. Solve 2*t + 4*u - x = -3*t, -4*t - 5*u + 26 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 - (-92)\/(-10). Let p = -7 - b. Suppose -x - 3 = -h, 3*h = -p*h - 5*x + 25. What is the remainder when 9 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 434 + -436.27. Let o = m + 2.26893. Round o to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15167795, 15167809, 15167823?\nAnswer: 15167837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4967 at least as big as -5166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10609*n**2\/7 - 408292*n\/7 + 3928324\/7.\nAnswer: (103*n - 1982)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -408, -3739, -12782, -30393, -59428?\n\"Answer: -476*l**3 + l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238434.19 rounded to the nearest one hundred?\nAnswer: 238400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*j = 5*j - 5, -4*l + j = -8. What is the remainder when 11 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*3\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46430620 and 9286124?\nAnswer: 46430620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.43 + 2.36581282.\nAnswer: 8.79581282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75 in 3\/2, 1\/130, 1\/7, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -71. Solve 6 = s*n + 4*r - 4, -5*r + 12 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -18. Let r be 2\/(-4) + m\/(-2). Solve -5*w + 4*s + 31 = 6*s, -r*w + 4*s = -8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 67. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let g(d) = -6*d - 2. Let z(m) = -g(m) + 5*k(m). Let o be z(-5). What is the derivative of 5*s - o*s + 3 + 0 wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*v = 1180*v + 2*x - 13, 0 = -5*v + 6*x - 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/829, 11, -0.4, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37832516 rounded to two dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-12))\/((-1)\/4). Let g = -5 + 10. Sort -2, w, g in ascending order.\nAnswer: w, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Let h(f) = 3*f - 4. Let a(x) = -7*x + 9. Let m(r) = -4*a(r) - 9*h(r). Give j(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 884 = -102*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 206910 and 12?\nAnswer: 413820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7092364*m**2 - 131*m + 2645?\nAnswer: 14184728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157494499913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513624 (base 8) to base 3.\nAnswer: 22122000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -10504430?\nAnswer: -10504425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016 = -5*u + 1021 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 - 2962*c\/11 + 23824\/11.\nAnswer: -2*(c - 8)*(c + 1489)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*r + 4*k - 0*k, -r = -5*k - 26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.3 + -17. Let i = p - 4.3. What is the second smallest value in 1, i, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/5 - 1743*r**4\/5 + 280803*r**3\/5 - 1552617*r**2 - 8614242*r\/5 + 16098264\/5 = 0.\nAnswer: -2, 1, 36, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802 = -1146*o - 21126 - 24224 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -10, 5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10748278 to the nearest integer?\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.71 - -0.7. Let d = r - 0.49. Which is the closest to 1\/2? (a) 2\/19 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let f(p) = 2916*p. Calculate f(v(d)).\nAnswer: 2916*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 - -1830\/7. Let a be (-4)\/408 - 2\/9. Let b = -1\/102 - a. Sort 3\/4, b, l.\nAnswer: b, l, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -5ce8253?\nAnswer: 5ce8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 2. Let n be i(1). Suppose 1 = -z - n. Let u be z\/(-32) - (-721)\/(-4). Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 2*p - 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 17 + c - 4*c**2 + 16 in the form v*c**2 + t*c + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 12612*o + 8*o**2 - 12612*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -631592 and -631604 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + s + s = -96588, 4*n = -2*s + 96572. Let g be 2\/6 - n\/(-15). What is g rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60496357, -60496366, -60496375, -60496384, -60496393, -60496402?\n\"Answer: -9*r - 60496348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1559357 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2\/2 + c - 3. Let x be t(-4). Suppose x*v - 156000 = 2*v. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:52 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*y + 1 + 10, 5*y = -4*t + 40. What is the remainder when (-6 + t)*39\/(-1) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x + 351 = -109*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 303 and -1.775123.\nAnswer: 301.224877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18*a**2 - 8564*a + 1914. Determine g(-476).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*q + 0*q = -2362, 0 = -3*b - 2*q + 3555. Suppose b = 43*h - 42*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -296, -458, -618?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 4125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 13697378*b**2 - 7788192*b + 1107072 = 0. What is b?\nAnswer: 744\/2617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**2 - 2*v + 1. Suppose -2*k + 0*k = 5*z + 23, 5*k = -4*z - 15. Let p be w(k). Let i = p + -3. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 389*k**2*m**2 + 183*k**2 + 24*k*m - k + m**2 + 302*m wrt k.\nAnswer: 778*m**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/20 - 2\/((-8)\/22). Solve r*t + 28 = -q, -4*t = -0*q - q + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {w: 2, x: 1, u: 2, o: 7, y: 1, g: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4) + (-15)\/(-12)*7. Let v(o) = -23*o**2 + 6*o**2 + 10*o**2 + w*o**2. Let l(m) = -10*m. Give l(v(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:09 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(300)*2)\/sqrt(10))\/((-6*(sqrt(12) - sqrt(588)))\/sqrt(2)).\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u - 165 = 0. Let r = u - -43. Solve 2*i + r = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176317250 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/35, 10, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 11*q**2 - 4*q + 10. Let r = -652 + 642. What is s(r)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 2*o**4 + 1 + 279*o**2 - 279*o**2 - 2*o**3 - 3*o to the form n*o**3 + y*o**2 + b*o + h + i*o**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 27 = -5*y, 3*y + 2225 = -3*b + 2258 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 138.4747 milligrams?\nAnswer: 138474700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 20*h - 11. What is j(20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2325, -4512, -6701, -8892, -11085, -13280?\nAnswer: -15477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 2 = 3*o + 17*u, -68 = 5*u + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 799\/530 - 2\/265. Let j = -913.5 + 914. Which is the smallest value? (a) v (b) -5 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*q - 2*g - 4, -3*q = 4*g - 3. Suppose -4 = -3*b - q. Is 1\/7 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -4*l - 6, -t - 4 = 5*l. Let r = -4979 - -4984. Put r, t, -2 in decreasing order.\nAnswer: r, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let u(r) = 263*r**2. Give i(u(w)).\nAnswer: -263*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k - 24. Let f(u) = -2*u + 13. What is -5*f(n) - 2*m(n)?\nAnswer: -2*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.008 and 1344 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838293.\nAnswer: 3, 279431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 11*g**5\/20 + 7*g**2 + g. Differentiate q(h) wrt h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-5)\/((-10)\/(-38)). Suppose 0 = -3*k - r + 78. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/3884 and 57\/1934?\nAnswer: 3755828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161158189?\nAnswer: 161158189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26827.\nAnswer: 139, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*((-225)\/18 - -14). Let b be 0 + 7*2\/(-6). What is the third biggest value in x, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 11*q**2 - 23*q - 19. Suppose -2016 = 126*i + 98*i. Determine x(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3867 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) 5 (c) 140 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67227205 - 24943.\nAnswer: 67202262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24620 and 5380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 4*b)*(-28 + 33 + 12) - 1 + 1 - b - 1.\nAnswer: -18*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1919920 and 127\/12095496?\nAnswer: 120954960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*3\/4)\/(454\/(-14528)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 1, m: 2, o: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 38. Let t = -1 - y. Solve t = 6*c - c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -29*t**4\/12 - 29*t**2\/2 + 148*t. Find the first derivative of c(r) wrt r.\nAnswer: -58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 352*c + 32. Let q be 84\/(-105)*15\/2. Let l be o(q). What is l rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 4, f: 3}. What is prob of sequence er?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, -5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 2*g**2 - 1. Let c be u(-1). Calculate the greatest common divisor of c and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(54\/(-9)) + (-3 - -12399).\nAnswer: 5, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 13) in base 5?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(3388) + sqrt(3388) - (1*(sqrt(3388) + 2 + sqrt(3388)) + sqrt(3388)))**2.\nAnswer: 880*sqrt(7) + 338804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112518 by -6.\nAnswer: 18753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1141, 2, 54 in decreasing order.\nAnswer: 1141, 54, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 211307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**3 - 2*f**2 + 2. Let w(u) = -105*u**3 - 27*u**2 + 27. Calculate 54*t(i) - 4*w(i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.6 - -13. Suppose p - 3 = 4*d + 10, -p + 5*d = -15. Suppose -4 + 0 = -3*z - 5*x, -p*z + 14 = x. What is the closest to -2\/9 in b, z, 4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - s = -3*s + 4, -5 = -r - 4*s. Let x be (r + -3)*(-66)\/44. Solve -4*t - 21 = x*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3336, -6434, -9574, -12780, -16076, -19486, -23034?\nAnswer: -26744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(3) - sqrt(75)) - (sqrt(39) + sqrt(156)*-3))\/((sqrt(15) + sqrt(1500)*-2)\/(sqrt(20)\/sqrt(4)*2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/3887 + 346375\/209898. Let y = z - 5\/18. Find the common denominator of 79\/66 and y.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w**0\/w)*w))**(10\/7))**33)**(-39) assuming w is positive.\nAnswer: w**(38610\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5535606 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 3)*(0 - 4 + 2) + 0 + 1 - 2 - 1 - 4 + 4)*(5*d - 3*d - 3*d)*(-2*d + 3*d + 8*d + d + d + 0*d + (-3 - 2 + 3)*(-4*d + d + d)).\nAnswer: 90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*m**5 + 2118*m**3 - 20*m**2 - 2118*m**3 - 20*m**5 wrt m?\nAnswer: -1860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-141*1)\/((-12)\/(-8)). Let y = 1167 - 964. Let t = r + y. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 4*z. Suppose h = -4*h + 10. Suppose -2*f = h*f. Is f greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2737*f - 197068. Determine q(74).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 92356.4 tonnes?\nAnswer: 92356400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 - 225 - (0 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/420 and -81\/22330.\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2476160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 11*w**2 - 3*w - 3. Let k(d) = d**2 - d - 1. Calculate 3*k(q) - o(q).\nAnswer: 2*q**3 + 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*12\/18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 30, 50, 74, 102, 134, 170?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5813, -5745, -5687, -5639, -5601?\nAnswer: -5573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -78. Let t = -856 - -173. Let n = g - t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.345665734 + -0.3457. What is h rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*d**2 - 4*d**2 - 157*d**3 + 148*d**3.\nAnswer: -3*d**2*(3*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359 - 323. Suppose -22680 = -p*c + 32*c. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2547*i - 4*i**3 - 2547*i - 7.\nAnswer: -4*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 316?\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 334138 at most 334137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11796707.\nAnswer: 13, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) -13.175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w + 24007 = 33289 for w.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2861471 (base 9) to base 2.\nAnswer: -110000000101101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/131072841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565918.2 millilitres to litres.\nAnswer: 565.9182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**32\/(i*(i\/(i\/(i**(-1\/12)\/i)*i)*i)\/i*i))\/(i**33\/i**(1\/2)) assuming i is positive.\nAnswer: i**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 4*z + 4*z + 4*z**3 - 2*z**3 + 0*z**3 + (6*z**2 + 2 - 2)*(-14 - z + 11 + 5).\nAnswer: -2*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18\/7)*l*l*l*l**(-2\/3)*l*l*l*l)\/(l**(-12)*l**(1\/6)) assuming l is positive.\nAnswer: l**(655\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from nnjnjjjjnjnjnnjjnjj.\nAnswer: 308\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.496262 rounded to 3 dps?\nAnswer: -0.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -51*t**5\/20 + t**4\/12 - 3*t**2\/2 - 34*t. What is the third derivative of p(k) wrt k?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (13 + -7)) + -5 + 0 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b**28)*b))\/b)**(-16)*(b\/b**(2\/27)*b)**4)**(12\/13) assuming b is positive.\nAnswer: b**(-45824\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 2888208.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 16\/20 + (-3815)\/425?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80\/123 - 2\/123. Let z = -3374\/3 - -1131. Sort z, s, -3, 4 in increasing order.\nAnswer: -3, s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1)*9\/2. Let y = -3 + a. Let y*d**4 - 4*d + 7*d**2 - 21*d**3 + 25*d**5 + 13*d**2 - 26*d**4 = 0. Calculate d.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15569217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65856946*v**2 + 789437*v - 20.\nAnswer: -131713892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -6*o + 137. Calculate the remainder when 32 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847))**2 + -3.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 948*g - 25111. What is k(-25)?\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*i - 2*m, 3*m - 9 = 3*i - 0. What is the tens digit of -6*10\/i - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7051*z + 558554 = -3353*z - 190534 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7455 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.3, 3, 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 3156*k. Let z(x) = -1254*x**2. Calculate d(z(y)).\nAnswer: 4717548*y**4 - 3957624*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 128. Let y be a(11). What is the common denominator of -1\/8 and 114*(-26)\/y*10\/(-64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + (-11 - -15 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 3*r)*(-2539762 + 2539762 - 2267*r)*(1 - 1 + r**3).\nAnswer: 2267*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + p + 12 = 0, -2*p = 0. Suppose c = s*c. Suppose c = x - 4 - 5. What is the greatest common factor of x and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 127*v**2. Let n(z) = 20*z + 6. Let m(q) = 17*q + 5. Let i(g) = 6*m(g) - 5*n(g). Determine i(x(o)).\nAnswer: 254*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*a + 5 = 15, 0 = -3*a + 15. Let b(d) = d + 9. Determine b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/48 + 38\/12. Suppose 293 = z*h - 2*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-3\/8)*m)\/(m*m**(-2\/15)))\/(m\/(m\/m**(1\/4)*m))**(2\/57))**(-2\/53))**(-11\/5) assuming m is positive.\nAnswer: m**(38489\/302100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192469362 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 smaller than -17070611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6\/17 (b) -1.4 (c) -3 (d) -0.1 (e) -5 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h, -2*p - 3*h = -p + 56797. What is p rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veve when four letters picked without replacement from eeveveeeevvev?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449688028 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f + 2. Calculate r(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**2 - 1. Let g be (-5 + (-10)\/(-2))\/2. Let w be 1 - g\/(3 - 5). Calculate p(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*221\/(-225) + (-710)\/8875 + 10 - -6.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*r = -8, 3*q + 14*r + 2 = 15*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 481*f**3 + 122*f**2 - 2*f. Let l(x) = 2405*x**3 + 610*x**2 - 11*x. Let k(v) = 11*i(v) - 2*l(v). Find the third derivative of k(j) wrt j.\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 16. Suppose t - 6*t - 7 = -4*k, -5*k + 16 = t. Let g = 6.69 - 1.69. Put t, g, -4, w in descending order.\nAnswer: g, w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/15 + 358*b + 5372\/15 = 0. Calculate b.\nAnswer: -1, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535072389 - 0.\nAnswer: -535072389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 3*b + 3*b - 4*b - 3*b - 2*b + 3*b + b + (2*b - 6*b + 2*b)*(4 - 5 + 3) - b + 4*b - 2*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w + 49*w + 116 = 0. Let u = w - 40. What is the highest common divisor of u and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gelgpp. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74.7 + -75. Which is the closest to 2? (a) o (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t**3 - 4919*t**2 + 4919*t**2 - 1910 + 147 + 309)*(-2*t**2 + 3*t**2 - 2*t**2).\nAnswer: -19*t**5 + 1454*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 949050 a multiple of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -87*b - 54 + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -112.8. Suppose -18 = -3*q - 3*q. Put -2\/15, v, q in ascending order.\nAnswer: v, -2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = o + 2*h, -5*o + 5*h = -30. Let b = 7 - 4. Let n be -2 + 1 + 1 + b. Solve 5*x = o*w + 11 + 14, n*x + 17 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -7*m + 106. Let f = 683 + m. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let y = 62 + -66. Which is the third smallest value? (a) y (b) n (c) 0.1 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 3*m**2 - 3*m + (-2*m**2 + 1 - 1)*(2 + 0 + 0) + (2 + 2 - 3)*(m - m - 2*m**2) - 14*m**2 - m**2 - 6*m**2 as p + g*m**2 + j*m and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43070 and 73219?\nAnswer: 732190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*u - 10, -4*u + 6 = -q + 3*q. Let d(k) = -k**2 - 5*k + 2. Let l be d(-4). Let h be 2*(l\/(-4) + u). Solve 3 - h = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 10*t - 11. Give d(14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15664587.\nAnswer: 3, 23, 131, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**5 - 215 + 215 + (0*f - 6*f**4 + 0*f)*(2*f + 1 - 1) + (-2*f + 2*f + 3*f**2)*(2*f**3 - 2*f**3 + f**3).\nAnswer: -21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-8020)\/234585)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 2*n**3 + 0*n + (-n**2 + 6*n**2 - 4*n**2)*(2*n + 5*n + 7*n) to the form t*n**3 + k + j*n + x*n**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133876 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3610.18*0.01\nAnswer: 36.1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqff when four letters picked without replacement from {q: 5, f: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(50) - (1 + sqrt(50)))**2*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 248 in 1, -3, -0.2, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.047 and -4155502.1936.\nAnswer: -4155502.1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*f - 451 - 91, -120 = -s + 5*f. Let c = s - 154. Let q = c + 79. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8864880257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3020, 2983, 2936, 2873, 2788, 2675?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/60 + 3*x**4\/8 - 11*x**3\/6 - 18*x**2 - 3. Let p = 13 - 5. Give k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165041?\nAnswer: 165041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.0209?\nAnswer: 0.01045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/17 + 416\/255. Sort 1, d, 4, -13\/4.\nAnswer: -13\/4, d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 13. Let p be z\/(-21) - (-64)\/14. Let t = -0.06 - -0.06. Which is the nearest to -0.2? (a) 3 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.863 - -12.163. Put 103, 16, m in ascending order.\nAnswer: m, 16, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -240, -483, -728, -975, -1224, -1475, -1728?\n\"Answer: -v**2 - 240*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 33703.\nAnswer: 167\/33703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4 - 30285*m**3 - 90920*m**2 + 121200*m = 0. What is m?\nAnswer: -4, 0, 1, 6060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 398582669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3685 = -4*h + c + 1051, -3*c = h + 652. Let n = h + 1215. What are the prime factors of n?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, k: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 0*t + 21 + 6*t + 15*t**2 + 3*t. What is the remainder when o(-4) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6899897 is divided by 3645.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/138)\/((-10)\/(-1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279084467*n**3 - 561374648*n**2 wrt n?\nAnswer: 1674506802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 0.31068847.\nAnswer: -0.248550776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/54)\/(i\/(((i**(1\/3)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-199\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3387973249.\nAnswer: 3387973249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - -1) + -35 + (-6 - -28).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -11. Let i = w - -8. Let r be -1499 - 2\/(2 + i). What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8464 and -1.4259?\nAnswer: 8462.5741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (24 + (20 - (35 - 25)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1577 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47133797 a multiple of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160 + 31 - 4\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -4*o, -6 = g - 3*g - 4*o. Suppose -3*r - 3*i - 3 = 0, -2*r = r - 4*i - 4. Sort -5, r, g.\nAnswer: -5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*w = 33, w - 8 = 3*b + 63. Let a = 59 + b. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {q: 2, a: 1, z: 4, s: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448061 is divided by 1409.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285 + 282. Let n be (1\/4)\/(w\/(-48)). Let o = 824\/7 + -118. Which is the closest to o? (a) n (b) 5\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 503, 975, 1449, 1925?\n\"Answer: m**2 + 469*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001731479845 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3765?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(20 + -1 - -35)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve h = 6*b + 12, -4*h + 48 = -39*b + 43*b for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: In base 6, what is 140400 + -330?\nAnswer: 140030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 32\/8 + (4542 - -2). Find the third derivative of -14*u**3 + 4547 - a - 109*u**2 wrt u.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 174 = 3*d. Let n = -26 - d. Suppose 0 = 5*w - 3*j + 15, 2*w - 3*w - n*j + 15 = 0. Solve -5*a - 11 = -2*x, w = -4*x - 0*a + 3*a + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 38. What is the remainder when -2 + 62 - (-1 + -1) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**4 - 1)*(0*k + 2*k - 4*k) - 2*k**5 - 2*k**2 + 2*k**2 - 15*k**5 - 9*k**5 + 32*k**5.\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 3*u**2 + 3*u**2)*((-245 - 332 + 636)*(-2 + 7 - 4) + 2 + 0 - 5).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 0 + 0 + (-6 + 10 - 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*s**2 + 2*s + 2 - 4 - 2*s.\nAnswer: 83*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and -0.26?\nAnswer: 17.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/8 - 2*a**2. Let k(v) be the first derivative of v**3 - 35. Calculate k(s(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 + 36*o**4 + 150*o**3 + 252*o**2 + 135*o = 0. What is o?\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*u - 37651, -10*u + 150616 = 4*f - 8*u. List the prime factors of f.\nAnswer: 5, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003442262 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/300 + (-34)\/(-180). Let z = 76 + -682\/9. Let l = d - z. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5955788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 38*w - 21*w - 9*w. Let p(h) = 2*h. Determine p(a(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -55*(8\/(-70))\/(7 - 9). Suppose 0 = -0*n + 2*n - 6. Let c(f) = f**3 - 3*f**2 - 4. Let i be c(n). Do g and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1433*f**4*q - 968*f**2*q**2 + 100*f*q**2 - 1074 wrt f.\nAnswer: -17196*f**2*q - 1936*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 152 - 71 = -111 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from ljjpwjpjppjpjljppwpc?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + f = 10, 499*f + 11 = -4*z + 502*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 6*o. Is o > 2\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127 times -0.2?\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:03 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/35314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 + 0 = 0. Let p be (20\/(-5) + 1)\/(0 + -1). Let w be p\/3 + 3 + -1. Solve -k = -2*x - 10 + w, o*x + 12 = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*y**3 - 21*y**3 + 1560*y**3.\nAnswer: 1377*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4765, 4766, 4767, 4768?\n\"Answer: k + 4764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwsfwo. What is prob of picking 1 s, 1 f, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20613 smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 841949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/3 + 2*w**2 - 11*w. Let r be d(1). What is the derivative of -39*k**2 - 17*k**2 - 8 + 15*k**r wrt k?\nAnswer: -82*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1754 times -0.185\nAnswer: -0.032449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:22 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*543\/90 - (4\/(-90))\/((-35)\/(-105))?\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*a + 32, 44 = -0*u + 4*u - 2*a. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71951 and 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20385\/2 - -10193. Which is the nearest to 1? (a) 4 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1145 - -1145.4. Let g = 0.4 - 0.3. Which is the third biggest value? (a) g (b) m (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380619?\nAnswer: 3, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**3 - 5*a**2 + 3*a + 6. Let j(l) = 7*l**3 - 3*l**2 + 2*l + 4. Determine 5*j(m) - 3*o(m).\nAnswer: -4*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 111434.04378 and -4?\nAnswer: 111438.04378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 18*x**5\/5 + 19*x**4\/2 + 182*x. What is the third derivative of p(v) wrt v?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 3. Let x(o) = -5*o**2 - o + 4. Let b(g) = -4*i(g) + 3*x(g). Suppose 0 = -j - 4*j + 15. Let f be b(j). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**3 - 2*x**4)*(-32153 + 16069 + 16082 - 5184*x).\nAnswer: 10368*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 16. Suppose 30*o - 7*o = -11*o - 238. Give v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-8)\/(-52) - 0). Let q = -29.8 - -30. Which is the nearest to -1? (a) x (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.400653295*-3.\nAnswer: 1.201959885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -4945\/21917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01479777 and 4.\nAnswer: 0.05919108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7008 and 1163766?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + (-3 - -10))) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3110 - -3054. Let f = -42.63 + -15.09. Let n = f - a. Round n to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8486.426ng in micrograms?\nAnswer: 8.486426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g - 1. Suppose -i = -146 + 138. Let l(a) = -4*a**2 + 52*a - 56. Let c(r) = i*v(r) - l(r). Determine t, given that c(t) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2000 and 7750.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90400160 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3400.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2133 - 2?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d - 0*d. Solve d*u = 2 + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -293 - -403. What is the least common multiple of f and 77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14455, -22780, -31107, -39436, -47767, -56100, -64435?\n\"Answer: -o**2 - 8322*o - 6132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 3*w + w + (5 + 0 - 3)*(-2*w + 2 - 2) + w - 4*w + 2*w + (2 + 1 - 2)*(10 + 9 - 6)*(6 - 6 - 5*w) in the form p*w + f and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o = -927 + 3267. Let y be -3*2\/(-6) + 66. Let m = o + y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6884*t + 6888*t = l, 5*t = 3*l - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 0)**2 + 0 + sqrt(1872) - sqrt(1872)) + (sqrt(1872) - -1*(sqrt(1872) + 2)).\nAnswer: 24*sqrt(13) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1361 + 82*g**4 + 1361 + (2*g - 2*g - 2*g**3)*(0*g - 2*g + g) + 16*g**2 + 3 - 16*g**2 + g**4.\nAnswer: 85*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -102*r + 7. Let f be a(-3). Let c = 325 - f. What is the smallest common multiple of 140 and c?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17956\/7 + 272\/7*i**2 - 9514\/7*i - 2\/7*i**3.\nAnswer: -2*(i - 67)**2*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p**2 + 20*p**2 - 43*p**2 + (-2*p + 0 + 0)*(-4*p + 3*p + 4*p) + 1 + 2*p**2 - 1 to j*p + b + x*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -103*z**4\/24 + 25*z**3\/2 - 2*z**2 - 66. Differentiate t(i) with respect to i.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.127, 0.2, 5\/2, -2, 2?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5000 - 5004. Suppose 0 = -2*v + 13 + 5. Put -2, 2, v, k in increasing order.\nAnswer: k, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(9\/(-15)*5)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 27905*t**2 - 8479*t**2 - 2*t.\nAnswer: 19426*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/((-144)\/(-108)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 301185.3 years?\nAnswer: 3614223.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170246719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -3, 3 in descending order.\nAnswer: 3, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243.12 or -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -140*p. Let y(z) = -18*z. Determine y(a(d)).\nAnswer: 2520*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 775?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*k - 7 = 0, -4*k = -2 + 6. Suppose 4*t - 19*g - 6 = -17*g, 0 = -4*t - n*g + 21. Solve -2*v = -3*a + 11, -4*v - t*a + 1 = -22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 836\/(-1463)*(-8)\/10*-70.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -56 - (7 + (57 - 3))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5 - (-69)\/12) + -1)*1. Let j = -1 - -1. Which is the nearest to 0? (a) y (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b - 2*r = 4, -b + 11 = 2*r. Solve 4*h + 5*x + 41 = 0, 4*h + x = b*h - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 32*f. Let g(t) = 5*t. Calculate g(u(q)).\nAnswer: 5*q**2 + 160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**3 + 4*w**3 + 31*w**3.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/36 and -113\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*m - 37, 2*j - 3*m - 56 = 5. Solve 0 = -6*g + 4 + j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -2.3. Let m = 217\/3 - 73. Let x = -7 - -10. Which is the closest to r? (a) x (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 11940712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 31, 2250 in descending order.\nAnswer: 2250, 31, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 4. Let h be c\/18*3\/4. Solve 1\/4*v**2 + 1\/4 + h*v = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*r**2 + r**2 - 1 + 546*r**3 + 68*r**2 - 548*r**3 as h*r**3 + p + b*r**2 + i*r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f**2 + 3*f**2 - 19*f**2.\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q + 2794 = -71*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260832 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 9. Let n be u(17). List the prime factors of (-90)\/n*(-140)\/8.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Is k < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0, 5 in descending order.\nAnswer: 7, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + 5*c**2 - 6*c - 1. Let g(p) = 5*p**3 + 4*p**2 - 6*p - 1. Calculate -4*d(k) + 5*g(k).\nAnswer: k**3 - 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-24)\/(-15))*-2. Suppose 5 = -s*u + 20. Determine g so that 29*g + 18*g**2 - g**4 + 4*g**4 - 41*g + 3 - 12*g**u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 83 = -5*t, 3 - 7 = -2*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*x - 54 = 0, 5*q + 1356 - 1326 = 4*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 399 + 25 = 0. Let u(l) = -13*l + 99. Give u(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:19 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*l = 3*i - 81, 0 = 19*i - 19*i + 2*l - 0*l for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32310272 and 3859?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59237, -118473, -177709, -236945, -296181, -355417?\n\"Answer: -59236*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 15. Let c(t) be the first derivative of t**3\/3 - 206. Give h(c(g)).\nAnswer: 3*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g + 5. Let y(p) = -2*p + 2. Let c(w) = -13*w + 30*w - 4 - 13*w. Let u(l) = -3*c(l) - 5*y(l). Calculate 2*n(s) - 5*u(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298904901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143, -285, -427, -569, -711?\n\"Answer: -142*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 78 + 95)*(-c**2 + c**2 + 3*c**2) - 4*c**2 - 4*c**2 + 0*c**2.\nAnswer: -137*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -26204 > -26199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15930 and 19272645.\nAnswer: 115635870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 - -148. Calculate the highest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 7*q + 20 = 3*q, -2*i + 397 = 5*q + 389 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 2*i + 3*i + (-1 + 1 - 1)*(-i + 4 - 4) - 2*i + i + 2*i + 0 + 0 + 3*i + (-22 + 20 - 26)*(-8*i - 21 + 19 + 22*i).\nAnswer: -385*i + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38936846 or -38936847?\nAnswer: -38936846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 132 = -21*z, -n - 148*z = -146*z - 4 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - h + 45*t + 470 = -7*h, -60 = 2*h + 3*h + 4*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 4*h. Suppose h = 2*c - 3. Suppose -3*z = 3*i - 14 - 10, -c*z + 12 = -i. Solve d - o - 8 = 4*d, 2*d + 3*o + i = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 1. Calculate the remainder when t is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kayakyykk. Give prob of sequence aa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = 4*q, 0*f + 2*f - 19 = 5*q. Suppose -f = y + 3*b - 4, 3*b - 16 = -2*y. Solve -y = -9*r + 16*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from wgnnqlgpqggwnl.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 2*x - 68 + 0*x.\nAnswer: -2*x - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:30 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a minute in milliseconds?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227595584.\nAnswer: 2, 37, 223, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, 2, -4 in descending order.\nAnswer: 311, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 994 and 22?\nAnswer: 10934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 23500*p - 633773. Determine n(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 288 = -m, 2*m + 3*m - 72 = -g. Suppose -b + g = 2*b. What is the units digit of 0 + b + (-3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 1 + 18*b**2 + 23*b**2 - 8*b**2 + 8*b**2. Suppose -r = g + 4, 4*g + 9*r - 4*r + 19 = 0. What is the units digit of w(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - c**2 + c**2)*(2*c + 3 - 3)*(-1 + 6 - 10).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v + 10. Let b be l(-2). Suppose b*h - 135 = -47. Calculate the least common multiple of 60 and h.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 51*c + 52*c + 1.\nAnswer: 103*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 4*a - 3*a + a - 3*a + a + (3 - 5 + 1)*(4*a - 2*a + 0*a) - 3*a - a + 2*a + 5*a - 4*a - 3*a - 2*a + a - a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 14 = 10*r. Let o be 12\/(-14) - r\/49. Let b = -3.1 + 3. What is the third biggest value in 3, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**0)**24\/(d*d**(-3\/4))**(2\/159) assuming d is positive.\nAnswer: d**(15263\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-168))\/(9\/20).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -115321339344 and 0.52?\nAnswer: 115321339344.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116 - 44 - 37 + 3 - 3 - 2 + (2 + 1 - 4)*(2 + 0 - 1))*(-2*c**4 - 3*c**4 + 3*c**4).\nAnswer: 400*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.2, -4\/30669, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 841 divided by -29.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6390639 to 4 decimal places.\nAnswer: -0.6391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2) + -2 - (-49 + 46). Do 12\/89 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - h - 3 + (-1 + 6 - 4)*(2*h - 1 + 1) + (-52 - 73 - 28)*(0 - 4 + 2)*(h - 2*h + 0*h) to the form p + j*h and give j.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118875*-0.039.\nAnswer: 4636.125","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.41476032 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/7)\/q*q*q*q**14*(q\/(q*q*q**(2\/9)*q*q*q*q))**(4\/25) assuming q is positive.\nAnswer: q**(21634\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18135 rounded to the nearest one hundred?\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8352729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2. Let g(b) = 8284904*b**2. What is u(g(v))?\nAnswer: 343198171446080*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42611866 and 86727.\nAnswer: 127835598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -3, -187581 in decreasing order.\nAnswer: 1, -3, -11, -187581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 368190 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14704380 to the power of 1\/2, to the nearest integer?\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = v + 5*c - 105, -4*c = 3*v - 1160. What is the lowest common multiple of 588 and v?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9 = -2*l, -h + 3*l - l = 3. Let p(k) = h*k + 8 + 0 - 4*k - 3. Let r(t) be the first derivative of t + 4. Determine p(m) - 6*r(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3970 (base 12) to base 15.\nAnswer: -435b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20 - 11 + 15*d**2 + 33*d - 12*d + 3*d**3.\nAnswer: 3*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4, -346 = 4*y - 3*o - 338 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d. Let c(b) = -102*b**2. What is a(c(k))?\nAnswer: -306*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1091739 or -1091738?\nAnswer: -1091738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -18*g + 205. Let k(w) = w**3 - 8*w**2 - 66*w + 6. Let l be k(-5). Let j be f(l). Solve 8*s = j*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001024295 to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, -0.3, 0.7 in ascending order.\nAnswer: -0.3, 2\/3, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 55944*n - 3089020.\nAnswer: 4*(n - 14041)*(n + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/36)\/13*(-28336)\/(-462).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24236, -3, 2 in decreasing order.\nAnswer: 2, 0.24236, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3331705?\nAnswer: 5, 13, 51257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -164*y - 35. Let u(g) = -82*g - 19. Give -6*i(h) + 11*u(h).\nAnswer: 82*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*a - 4221 + 1766 = 4219 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1508 and 14664?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1686 - -5930. Suppose 0 = 7*w - z - 49005. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/2995 and -12\/87055?\nAnswer: 52145945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12334 = 5*a, 5*a + 3*n + 2*n = 12325. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1346524563 + -5?\nAnswer: -1346524601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(16\/5)*j)\/(j\/j**(-3\/4)))\/(j**(1\/3))**(13\/5) assuming j is positive.\nAnswer: j**(-169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h + 1. Let c(l) = l**2 - 5*l**2 - 5*l**2 + 5*l**2 + 2*l - 2. Let v(t) = -2*b(t) - c(t). Let x(u) = -25*u. What is v(x(z))?\nAnswer: 1250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w - 90. Let s(n) = -1 + 3 - 6*n**2 - n - 2 - n**3 + 1. Calculate the remainder when w is divided by s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 312537110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/48 and 133\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -794667?\nAnswer: -794667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 112*k - 413. Solve k*h + 34 = 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**2 + 0*a**6 + 4 - 2\/7*a**7 - 1\/3*a**3 + 0*a**4 + 0*a + 0*a**5. What is the third derivative of u(q) wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/28*29\/(-2). Put 1, 3, n, -1 in descending order.\nAnswer: n, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 522.\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d - 13. Give u(25).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050319 to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(5 + sqrt(1300)) - sqrt(1300)) + 5 + 1 + sqrt(1300))**2.\nAnswer: 3100*sqrt(13) + 33461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 5*u + 9, -2*u + 6 = -l. Suppose 6 = 5*i + 1. Let m = 2.2 + -2.7. What is the nearest to 4 in m, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by 18260\nAnswer: 73\/9130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:08 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 8*v**2 + 8*v + 6. Determine w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3 + 36*q - 16*q - 25*q. What is m(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488612 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 4. Let v be u(3). Suppose -136*j - 9110 = -146*j. Suppose v*y - 771 - j = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 941\/23 + -41. What is the biggest value in m, 0.2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11097 or 7932?\nAnswer: 7932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 510751 - 348721. Round z to the nearest 1000.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**10\/75600 + s**9\/10080 + s**8\/5040 + 2*s**5\/15 - 8*s**2. Let h(x) be the third derivative of t(x). Factor h(b).\nAnswer: 2*b**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let u(l) = -49*l - 60. Let x(z) = -u(z) + 4*y(z). Find the first derivative of x(m) wrt m.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.06 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17*a**(-2\/7))\/(a**(-8))**(1\/7) assuming a is positive.\nAnswer: a**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68558*x**4 + 3*x - 4*x**2 - 2*x - 68557*x**4 + 7 to w*x**4 + h + f*x + t*x**3 + a*x**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r + 3*r + 23*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90840873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/((-26)\/8 - 0). Suppose 3 + 0 = -3*l. Do c and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40032316 divided by -38\nAnswer: -1053482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-33))**2 assuming a is positive.\nAnswer: a**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3237*x + 16711 = -34159 - 65662 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fici. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d - 3 + d**3)*(-1 + 1 + 2*d).\nAnswer: 2*d**4 - 4*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745 - 743 = -6*s. What is the least common multiple of s and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-270)*(-5)\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*o = 12592 + 344 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 21, 16, 11, 6, 1?\n\"Answer: -5*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + l**2 - l**3 - 7*l**4 - l - l - 10*l**4 + 18*l**4 + 24*l**4 in the form q*l**3 + k + v*l**2 + m*l + p*l**4 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*l**5 - 8811*l**2 - 8*l + 61362?\nAnswer: 1940*l**3 - 17622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.01813\nAnswer: -0.09065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**5\/20 + h**4\/4 - 15*h**2 - 20. Let o(k) be the second derivative of u(k). Factor o(d).\nAnswer: 3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -311 - 87?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 10 - 10)*((d**3 - 2*d**3 + 0*d**3)*(-2 - 3 + 3) - 2*d**3 + 5*d**3 - 4*d**3 + 2*d**3 + 0*d**3 - d**3).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022161 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24703, 49379, 74071, 98791, 123551, 148363, 173239?\nAnswer: 198191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47767 is divided by 758?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3443209.\nAnswer: 7, 11, 97, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*v**3 - 13467792*v**2 - 2244590*v - 93524 = 0.\nAnswer: -46762\/7, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 440362 * -2.46\nAnswer: -1083290.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 1. Let a be r(7). Suppose 0 = -0*d - 4*d + a. Is (-2 + d\/6)*-518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5053 + -4?\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 36 = 42*v. Let x(h) be the first derivative of -3\/5*h**5 + 0*h**2 - 2 + 0*h - 1\/3*h**v + 0*h**4. Find the third derivative of x(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225.4 + 1192.4. Let r = 1760640.64391 - 1761607.64. Let l = k + r. Round l to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2878 + -2877.7. Which is the closest to 43? (a) 0.2 (b) p (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -29*z - 59 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1\/(-6 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0393 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101692 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134984 + 228954 = 283*h. Which is smaller: h or 9004\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -21 - (17 + (159 - (60 + -35)))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/u)**(-26)\/(u**(-8\/7))**10 assuming u is positive.\nAnswer: u**(-648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 637, 1553, 2843, 4501, 6521?\n\"Answer: -t**3 + 196*t**2 - 45*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 3\/6)*(-1305964)\/201?\nAnswer: 2, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Give i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -126*j + 4. Let z(o) = 502*o - 15. Calculate 22*w(q) + 6*z(q).\nAnswer: 240*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 27107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 125 + 172 + 72.\nAnswer: -5*d + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263025?\nAnswer: 3, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 28*a - 63. Let c be q(-27). Is 115764\/15 - (-3 - c\/25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 74.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128978137 to the power of 1\/2, to the nearest integer?\nAnswer: 46141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/77 + -229\/154. Suppose -4*r + 2*r - 2 = 0. Which is the biggest value? (a) 2\/7 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*h**3 + 1 + h + 192*h**3 + 1072*h**3.\nAnswer: 2076*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3577 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 9*b**2 - 12*b - 11. Let k be i(11). Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 13*i - 30 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46\/5 of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 4*y, -l + 12 = -5*y - 0*y. What is the smallest common multiple of 3 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f32bc (base 16) in base 6?\nAnswer: 33203124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*n = -0*q + 6, -2*n = 2*q + 4. Suppose -4*r + 12 = 0, -34 = -h - 5*r - q*r. Suppose 18*c + 33 = h*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 - -257. Sort -5, 1, -2, z in descending order.\nAnswer: 1, -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*u**2 - 1)*(2*u + 0*u - 4*u + (-3 - 4*u + 3)*(4 - 1 - 1)) to the form b*u**2 + s + t*u**3 + m*u and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179, -183, -189, -197?\n\"Answer: -l**2 - l - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/4))**(-9))**(-1\/12))**38 assuming s is positive.\nAnswer: s**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -577 + 585. Let a(b) = b**3 - 12*b**2 + 33*b - 8. Let f be a(p). Solve -4*j + f*j = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 24*a - 12*a + 3 to t*a + q and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -6*u - 32*u - 43 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = -1 + 61 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 5*u = 2*k + 981, u - 489 = -2*k. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f = 42*f + 16. Calculate the remainder when 9 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1421039, -2841553, -4262067, -5682581?\nAnswer: -7103095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 364*m**2 + 377*m**2 - 43208*m**3 - 1.\nAnswer: -43208*m**3 + 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -13242?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 40 = -5*w. Let g(r) = -r**2 - 9*r - 7. Determine g(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109049 bigger than 1109049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 102?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-23 - -13) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/5 + 256*s**2\/5 + 644*s - 5880.\nAnswer: 4*(s - 6)*(s + 35)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose g*u = -2*u + 2040. Suppose -2*r + u = -126. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 2. Determine y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*w**3 + 22021*w**2 - 40358*w - 5568.\nAnswer: -(w - 96)*(w - 2)*(225*w + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(2 + -2 + sqrt(2057)) - (sqrt(136)\/((sqrt(32)*-1)\/sqrt(4)) + 4)).\nAnswer: 8 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -44*a + 11. Let x(j) = 9*j - 2. Give -2*l(q) - 11*x(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 4*d - 672 = 0. Let i(b) = -73*b - 5*b**2 + 38*b - b**3 + d*b. Calculate i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.32? (a) -4 (b) 1\/7 (c) 2 (d) 0.5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f + 47620*f**2 - 99*f.\nAnswer: 47620*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284035058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -107*u**3 - 2*u + 2999. Let t(g) = -35*g. Give o(t(m)).\nAnswer: -393225*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 48224?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 3*h - 1474 = -1361, x = 2*h + 79 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156043151 divided by -1.\nAnswer: 156043151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14064 and 9600.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32340493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116645\/177 - 659. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10829 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.874591 days?\nAnswer: 1259.41104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*g + 4*g**2 + 354*g + 41*g in the form t*g + j + r*g**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 5*b + 105235. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 4\/7, 0.142, -144, -3\/5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (13440\/(-266))\/(-5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = h + 260, 3*h + u + 1105 = -h. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2071 + 391 = -30*f. Suppose -4*b + 14 = 3*y, 3*y + 0*b - 5*b - 50 = 0. Calculate the least common multiple of f and y.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u = 6. Calculate the smallest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-88)\/(-11) + 0 + (-195)\/25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65113 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - j - 95, 7*q + 65*q + 34*j = 35*j + 162 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114650 (base 10) to base 12.\nAnswer: -56422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 9 = -4*t + 10*t + 2*l, 5*t + l + 24 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -45. Let l(a) = a + 9. Let f be l(-5). Solve -q*t - 2 = -f*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54257*i**3 + 4*i**2 + 6*i + 381.\nAnswer: 325542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:32 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19080, 17200, 15320, 13440, 11560?\n\"Answer: -1880*f + 20960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 78. What is the nearest to -0.1 in n, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 180 = 5*i, -3*k + 5*i + 180 = 0. What is the remainder when 298 is divided by k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21+-5849249\nAnswer: -5849270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from {a: 6, x: 13}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -7, 1\/2, 0.4, -5 in increasing order.\nAnswer: -7, -5, 0.2, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 71.95?\nAnswer: 215.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-7)\/(-2))*6. Does 6 divide 3 - (-3 + (3 - i))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -399, -389, -343, -249?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-864)\/306)\/(-4))\/((10 + -8)\/(-4 - -3)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 113 - 122. Suppose 2 = -3*p + 5. Let v = 17 - p. Calculate the remainder when u is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + 2.67?\nAnswer: 2.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {t: 2, k: 4, m: 1, e: 1, h: 3, g: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13948, 14861, 15788, 16735, 17708?\nAnswer: 18713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 29*t**2 - t + 40. Give b(-29).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 712\/17 + 8\/68. Suppose 4*t + 3*t = u. What is the third derivative of 4*v**t + 5*v**6 - 4*v**2 + 2*v**4 - 2*v**4 wrt v?\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3053, 124, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 35 - 25. What is the units digit of (-21760)\/(-60) - 8\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 7. Let f be v(-3). Calculate the remainder when 108\/8*f\/3 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*f + 6455, 2*u + 4*f = 7200 - 754. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-298 - 7*p - 7*p + 300)*(2*p**2 - 3*p**2 + 3*p**2) to i + x*p + a*p**2 + z*p**3 and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*x = -241 - 363. Let v(k) = k**3 - 5*k**2 + 9. Determine v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 109937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -7*c**4\/24 + 17*c**3 + c**2 - 29*c. Calculate the remainder when x(6) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -28*p + 3219. Give d(115).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 908000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-2\/7))*r\/(((r**19\/r)\/r)\/r)*(r\/r**(1\/3)*r)\/(r*r**(-3\/4)))**(9\/7) assuming r is positive.\nAnswer: r**(-3495\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2005 + -1261. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84620142 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: Let s(t) = -54*t**2 + 156*t - 2. Let i(w) = w**3 + 40*w**2 - 156*w + 3. Let k(x) = -2*i(x) - 3*s(x). Solve k(y) = 0.\nAnswer: 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(3872\/(-48))*(1 - ((-3)\/(-3))\/3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - 1255178289.\nAnswer: -1255178289.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -7872 = -181052\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = -34. Suppose n - 6*n - 4*k = -w, 0 = 4*n + k - 17. Suppose 3*i + 0*i = -3*d - 12, -2*i - 8 = 0. Put n, -1, d in decreasing order.\nAnswer: n, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {o: 2, f: 3, i: 3, x: 1, v: 9, h: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33322 - -1850256878.\nAnswer: 1850290200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 610412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/o**(-2\/7))\/(o*(o*o**2*o)\/o*o*o\/((o**(-2\/25)\/o)\/o*o)*o) assuming o is positive.\nAnswer: o**(-139\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmarmjarrmhhmhhhaash. What is prob of picking 2 h and 1 j?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53843 or -161530\/3?\nAnswer: -161530\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 20*s**2 - 19*s + 3. Let c be h(19). Let b(w) = -4*w - 4 + c*w + 27 - w. Let m be b(9). Solve -m + 1 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**2)*(989382*v**2 - 989382*v**2 - 5687*v**3).\nAnswer: -11374*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s - 4. Let b(f) = 35*f - 15. Calculate 4*b(t) - 15*j(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*x + r + 58, -4*r = 3*x - 28. Let o = x - 7. Suppose o*m - 4*m + 49 = 0. What is the common denominator of m and 16\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 331 = -74. What is the units digit of 18\/k - (-1606)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002395 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwyywwwwwwwgyj. What is prob of sequence yg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79851, -79852, -79853, -79854, -79855?\n\"Answer: -q - 79850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 90 + 26. Suppose 2*a = i - 8. Solve -4\/7*x + 0*x**2 + 4\/7*x**3 - 2\/7 + 2\/7*x**a = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*d - 38*d**2 + 21*d)*(5 + 1 - 1) to v + z*d**2 + n*d and give z.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489\/14 - 14551\/420. Let h = 1\/20 + n. Which is the closest to 0.2? (a) -2\/13 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46357, -46360, -46365, -46372, -46381, -46392?\n\"Answer: -y**2 - 46356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -26\/24233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21743, 43446, 65151, 86858, 108567, 130278, 151991?\nAnswer: 173706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen tenths of a litre in millilitres?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)\/(1\/(-4)). Is 1*2\/f*106 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*q = 5*n + 108, -3*n - 4*q = -116. Calculate the least common multiple of 36 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -52. Suppose 0 = 2*c - o*t - 256, 0*c - 5*t = -4*c + 497. Let v = -48 + c. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 7*j**2 - 11*j + 10. Let z(p) = 2*p**3 + 6*p**2 + 10*p - 10. Let l(b) = -3*g(b) - 4*z(b). Is l(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Let n = 5 + -5. Suppose n = -2*w + k - 1. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004187284 rounded to six decimal places?\nAnswer: -0.004187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c12 (base 13) to base 4\nAnswer: -133323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 8946.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 951072 and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 313?\nAnswer: -6\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(567)*-3)\/((sqrt(432)*3 + sqrt(27))\/sqrt(3)).\nAnswer: 54*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, b: 5}. What is prob of picking 1 b and 3 n?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 317, 1031, 2427, 4733?\nAnswer: 8177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 7. What is the units digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 1755.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150537 and 722.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d - 24. Let l be h(10). Suppose 2*x = -5*b - l, 2*x + 0*x = -4*b - 174. Let r = -8 - b. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*o = 34, -4*s + o + 19 = -57. Let c be -1 - (-1)\/2*2. Let h = c - -6. Calculate the highest common divisor of s and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 53*f - 208. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4\/9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 7. What is the tens digit of n(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38311039 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3 (b) 0 (c) 1\/5 (d) -3\/4 (e) 7 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 70*z**2 + 8*z + 11898. Give u(39).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:46 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*q**5 + 18*q**5 - 25*q**5)*(-1 + 1 - 2)*(2 - 5 - 7).\nAnswer: -560*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 10.89?\nAnswer: 0.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10064 = -5087*m + 4791*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24605 and 0.107.\nAnswer: 2632.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-5) + 8 - (-3956)\/(-667)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**2 - b - 1. Let n be g(-1). Let p be (-26)\/(-8) - 2\/n. Let s = -1 - -1. Solve s = r - 4*r + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5*d - 6)*(68 - 11 + 20 + (6 + 0 - 4)*(6 - 2 - 2)).\nAnswer: 405*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -118. Let x = j + -247. Sort 5, 1, 3, x in increasing order.\nAnswer: 1, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1260, -1261, -1264, -1269?\n\"Answer: -u**2 + 2*u - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59219, 59252, 59293, 59336, 59375, 59404?\nAnswer: 59417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10992 = 10992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/13 (b) 8 (c) 0.2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 2998?\nAnswer: 2997.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1614425.4113 and 40.\nAnswer: 1614465.4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 42. Let h be s(-22). Suppose -3*d + 30 = h*d. Suppose 0*c + 3*c = d. Calculate the least common multiple of 11 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*p - 1687 = -133*p + 3613. Solve -l + 13 = p for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200928 divided by -312\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.0022, 4, -400?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 280*h + 11. Let d(q) = 140*q + 5. Calculate -13*d(n) + 6*v(n).\nAnswer: -140*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8*(-140)\/1. Suppose -2*i - v = 21. Calculate the common denominator of (-147)\/(-9)*(-6)\/i and 45\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/951605739 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5580, -10437, -14572, -17985, -20676, -22645, -23892?\nAnswer: -24417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let b(c) = c**2 + 1. Let o be b(1). Suppose 0 = -o*i + 6 + 12. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6460*w + 2868250. Determine j(-444).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*l + 4 = 0, 2*j - 296*l - 7 = -141*l - 156*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/6))**(-1\/64) assuming d is positive.\nAnswer: d**(-7\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and 774 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -11*t + 13*t - 41, -16*l + 15*l = -t + 2 - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233\/4 + -58. Factor 3\/4*i**3 + 0 + 1\/4*i - w*i**4 - 3\/4*i**2.\nAnswer: -i*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x - 35*x + 2940. Which is bigger: x or 981?\nAnswer: 981","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 40 = 56, -j = 3*y - 11632. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.295 (c) -2\/15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/3 - 64*z**3 + 5672*z**2\/3 - 3520*z = 0.\nAnswer: -120, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8300001*j**2 + 1. Suppose 0 = 2*x + 2*x. Let l = x + 1. Let a be q(l). What is a rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -1472, -4203, -8254?\n\"Answer: -660*x**2 + 569*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/11 - -1\/22. Put z, 2, -1.1 in increasing order.\nAnswer: -1.1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40582 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 b = -1 + 4. Calculate the smallest common multiple of 8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.92 - 16.32. Let l = f + 29.6. Round l to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:18 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11201672 by -2800418.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. What is the smallest common multiple of v and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1065 + 1066. Let h(x) = x**2 + 1. Let w(r) = -3*r**2 + 4*r - 8. Give j*w(v) + 6*h(v).\nAnswer: 3*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 + 3*i**2 - 2. Let o = 108 + -109. Let w be s(o). Solve -2*a = -4*l + 12, l - w*l = -2*a - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from wvenznrwzeevwezveev?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = 5*v, -5*i + 5*v + 13 - 33 = 0. Let f = -7164\/11 + 652. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 601 (b) 5 (c) 0.4 (d) -3 (e) -4\/5 (f) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.185 (b) 13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5563*l - 22230. Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4305906 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9038 (base 10) to base 9.\nAnswer: 13352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*u**2 - 12*u - 659 + 659 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n**(3\/8)*n)\/(n**4\/n**3) assuming n is positive.\nAnswer: n**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*m + 15 = -0*m - 2*m, 206823*s - 5*m - 9 = 206826*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 52. Solve z*y + 5*r - r - 12 = 0, 3*r = 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625226*u - 40820 = -627267*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 101 + 58 + 273)*(-3*m**2 + 0*m**2 + 4*m**2).\nAnswer: 382*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*w + 16*w - 154 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 3)*(582*u + 580*u - 1165*u + 50).\nAnswer: -15*u + 250","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p**2)*(2 - 3 + 0) + (-3*p**2 + 4*p**2 - 5*p**2)*(-1 + 11 + 3 - 3 + 4 + 1 + (1 + 0 - 2)*(-4 + 2 + 4)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 4. Calculate v(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/((-8)\/(-6)))\/(-12) and 214\/(-60) - 2\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 15*h - 5\/2*h**4 + 37 + h**5 - 20\/3*h**3 + 5*h**2. Find r, given that s(r) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjnnnj. Give prob of picking 1 n and 1 j.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Differentiate -30*z**4 - d*z**4 - 136*z**4 - 173 with respect to z.\nAnswer: -688*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 - y**4\/3 + y**3 + y**2\/2 - y. Let b = 194 + -199. Determine p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2979440442 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -25339?\nAnswer: 12669.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 44. Let b be p(23). Suppose -b*n = -5*n - 2*f + 2284, -4*f = n - 748. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 8. Let u be b(-5). What is the greatest common factor of u and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/3*(23 + -20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 7. Let b be r(-3). Sort b, 4, -62 in increasing order.\nAnswer: -62, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12363360 - 26463360. What is j rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3841\/15 - -1237\/5. Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275038026 = -125*l - 275019776 for l.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.1, 1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 4*k - 4*k. Let n(g) = g + 11. Let f be n(-6). Let v(l) = 5*l - f*l + l**2. What is v(b(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**2 - 10*w**2 + 7*w**2.\nAnswer: 61*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 8. Let l be h\/6 + 59\/3. Suppose 2*n + 3*n - 28 = -3*g, 0 = g - 4*n + l. Which is smaller: 1\/4 or g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6647, -6454, -6129, -5672, -5083?\nAnswer: -4362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 - 4671*x**2. Let v(u) = -3*u - 48. Calculate v(f(m)).\nAnswer: -3*m**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = u - 43, -5*i + 101 = 5*u - 54. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l + 80*l + 12*b + 8 = 0, l = -3*b - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -21. Suppose -q + 17 = -14. Solve -4*r + q = 3*n, d = -4*n - 4*r + 43 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - (-3)\/(-4)*4. Let p(j) = 13*j**3 + 2*j**2 - 2*j + 13. Let l(f) = 7*f**3 + f**2 - f + 7. Let o(n) = k*p(n) - 11*l(n). Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550529 by 301.\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 27*f + 12. What is the smallest common multiple of 153\/34*((-8)\/(-3))\/2 and b(-26)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 + 6*m + 4. Let r be o(6). Let t be 1 + 3\/((-6)\/r). Let a be ((-2)\/4)\/(t\/(-88)). What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 128*d**4 - 70*d. Let k(i) = -256*i**4 + 141*i. Let m(s) = 4*k(s) + 7*l(s). What is the second derivative of m(r) wrt r?\nAnswer: -1536*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -540022 - 4?\nAnswer: -540026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:17 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -2, -1 in decreasing order.\nAnswer: 3, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5 + 2) - 13. Let l = r + 40. Let h = 30 - l. Solve 2*q = h*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 122017*c. Let k(j) = 4*j. Give k(y(i)).\nAnswer: 488068*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -132211 (base 4) to base 10\nAnswer: -1957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) + sqrt(56)\/(sqrt(4)*1)))\/((sqrt(70)*-3)\/sqrt(10)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 396196.2 days?\nAnswer: 34231351680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 - 5*m + 4. Let w(n) = -3*n**2 + n - 1. Let t(y) = 2*l(y) + 9*w(y). Let v(g) = g**3 - 3*g**2 - g - 1. Let h(b) = t(b) - v(b). Factor h(k).\nAnswer: -k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2\/3*r**3 - 1\/2*r**4 + 0*r**2 - 2 + 0*r. Factor f(q).\nAnswer: -2*q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0779 + 346.9221. Let l = -348.97 + x. Let w = l + -0.03. What is the nearest to 0.1 in w, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 q when four letters picked without replacement from {q: 5, s: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101011111002 (base 3) to base 14\nAnswer: 52ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - q + 6*q + 2*q + 8*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3222 and 71242.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*g - 27 = g, 2*u = -5*g - 5. Suppose -u = -5*p + 5. Suppose -10 = 5*v - 25. Calculate the remainder when v is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41930 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3177394.\nAnswer: 5\/3177394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 68*n**2 + 72*n. Let b(f) = -f**3. Let p(q) = -3*b(q) - u(q). Factor p(t).\nAnswer: 4*t*(t - 18)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218 + -215. Factor 0 - 1\/2*g**z + 0*g - 1\/4*g**4 + 0*g**2.\nAnswer: -g**3*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -9)*5\/35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3093 = 119*v + 2857 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 15*s + 26. What is z(-13)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406933 and 1453586.\nAnswer: 332871194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((sqrt(108) - (sqrt(108) + 2*sqrt(108) + sqrt(108)))*-1)\/(sqrt(96)*-1 + sqrt(6))*-2*-3.\nAnswer: -54*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**4)\/(v**(1\/4)*v))\/((v**(-6)*v)\/v**(-5)))\/((v**(1\/2))**(-12\/13)*v**6*v*v**(2\/9)) assuming v is positive.\nAnswer: v**(-5153\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 888.4495s in milliseconds?\nAnswer: 888449.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-5)\/3)*-3. Suppose -2*w + z = -w. Let c(q) = 6*q. Determine c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*v - 121*v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 8*t**2. Suppose 11*p - 219 = 56. Calculate the remainder when s(-7) is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2377 divided by -27384\nAnswer: 2377\/27384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/(-28)) + -4. Suppose u + 0*u - 5 = 0. Suppose u*v + m = 63. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 614205 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:30 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhxxx. What is prob of picking 2 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l = 44*l - 31801. List the prime factors of l.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 42 + 7*w**3 - 4*w**3 - 5*w**3.\nAnswer: -2*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3834*h - 3837*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:31 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1765*z**2. Let h(s) = -1 + 1627*s + 1 - 3250*s + 1625*s. What is k(h(u))?\nAnswer: 7060*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/16177 and -71\/38?\nAnswer: 614726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010101110000110 (base 2) in base 12?\nAnswer: -3845a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3468\/5 - 339709\/490. Find the common denominator of f and 79\/42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*a = 422 - 2002 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/14 + (-13)\/(-13). Let a = -1 + -4. Put w, -2\/13, a, 0.5 in descending order.\nAnswer: w, 0.5, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 10*r**2 - 11*r - 11. Let k be q(-9). Suppose k*w + 31 = 3*p + 5*w, -p - 3*w = 8. Let m be 2*((-3)\/6 + 2). Solve -5*t + p = -m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**3\/7 + 7794*h**2\/7 + 1516320*h\/7 - 912600\/7 = 0. Calculate h.\nAnswer: -390, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/81*-12*(-1)\/4 and 69\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*y + 6688 = 111*y. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 490 - 1027 = 0. Let v = 182 + k. Let 0 - 4\/3*r**2 + 4*r**v - 8\/3*r = 0. What is r?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - 51\/(-9). Let x be 0 - 3\/(3\/(-4)). Solve -3*s - 10 = d, -r*s = -3*d - x + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 603 - 207 = 0. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*i - 1. Let w be (-52)\/(-10) - i\/(-5). Suppose -5*j + 95 = 2*v + 3*v, 17 = 2*j - w*v. What is the remainder when 31 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 19*z**2 + 738*z - 14036. What is f(19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -10.35\nAnswer: 10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33151, 33165, 33189, 33229, 33291, 33381?\n\"Answer: y**3 - y**2 + 10*y + 33141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**3*z - 354*s**3 + 2*s**2*z + 5*s**2 - 66532*s*z - 13*s + 2*z + 46 wrt z.\nAnswer: 3*s**3 + 2*s**2 - 66532*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*d - 42, 18*p - 21*p + 2*d = -54. Solve -20*h + p = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Calculate the greatest common divisor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74669 = -524*x + 1309 for x.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*n + 148*n = -161*n - 12258 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-28) + (-60)\/(-140) + 793\/2. Calculate the highest common divisor of u and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 2*t**2 + 5*t**2 + (-2*t - 4*t + 3*t)*(3*t + t - 5*t) - 3*t**2 - 1 - 5*t**2 + 6*t**2.\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -70*o**2 - 9*o + 45. Let a(q) = -38*q**2 - 5*q + 23. What is 11*a(p) - 6*m(p)?\nAnswer: 2*p**2 - p - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 376 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:25 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12)\/sqrt(54) - sqrt(2))**2.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42053.9341485 - -42054. Let o = 0.4658593 - q. Let g = -0.4 + o. What is g rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*p = 14, -3*f + 35 = 562*p - 567*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -0.4, 2\/5, 7\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 96, 231, 422, 669?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 15 - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -32. What is the remainder when 36 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86641324)\/2113716 + (-4)\/402?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -816, -1645, -2486, -3345, -4228, -5141, -6090, -7081?\n\"Answer: -i**3 - 822*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 + 11)\/(-6)*0. Let s(x) = -x + 33. What is s(z)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-5))\/(-3))\/(40\/150).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 32*v**2 + 124*v + 88.\nAnswer: -4*(v - 11)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1993, 7977, 17953, 31915, 49857?\n\"Answer: -t**3 + 2002*t**2 - 15*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4771 - -7164. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 385.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/5 - 6*w**2\/5 + 8\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 - 5*w - 4. Does 18 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -24496 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0109 - 0.9891. Let s = 0.5 - 2.5. Let w = 3 + s. Which is the closest to f? (a) 2\/5 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*v - 9541 = -34, 4*v = -12. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a factor of 272034840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110111010111 (base 2) to base 13.\nAnswer: 5459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17.1, -4, 5, 10, 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19908.8 micrometers?\nAnswer: 0.0199088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 25. Let x(q) = -q. Let d(m) = 4*x(m) + y(m). What is the remainder when 24 is divided by d(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 45.2, 0.3, 3, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 511*i + 2065. Let x be v(4). Let k = -5 + 0. What is the fourth biggest value in -2, 0, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643 = 4*b + 6*u + 659, 8 = -4*b - 4*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4.6, 9, 5.1?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 398*v - 9147. Calculate h(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286 + -286. Let v(w) be the third derivative of 0*w - 1\/10*w**5 + 0*w**3 + 0*w**4 + 6*w**2 - 1\/120*w**6 + r. Find the third derivative of v(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3 - 5208\/(-1581)) + 3\/(3978\/(-1172))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826837401 to the power of 1\/2, to the nearest integer?\nAnswer: 53168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829449.\nAnswer: 3, 11, 206953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 4*s - 2*i + 78, i = -3*s + 106. Suppose 5*v - s - 14 = 0. Let h = v + 16. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -1\/6*g**4 - g**2 - 30 + 5\/6*g**3 - g. What is b(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 77, 177, 317, 497?\n\"Answer: 20*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 20 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/90 and -95\/504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/33 and -50\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l, -4*y + 4*l - 10 = -6*y. Let s(x) = 3401*x**2 + 12*x - 13. Let m be s(y). What is m rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 5*v - 2, 2*m - 12 = 2*v. Let x = m - -1. Solve -u = -3*q + 13, -u + 10 = 4*q - x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 129*n + 292. What is the units digit of z(58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/62489 and -11\/20566.\nAnswer: 1624714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 1. Let u(m) = -11*m**3 + 2*m**2 - 5. Let j(n) = 5*h(n) - u(n). What is the third derivative of j(c) wrt c?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2137.338633 to the nearest 10.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1498 and 2534?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 7*d + 13. Let p be t(5). Put p, 2, 38, 1 in ascending order.\nAnswer: 1, 2, p, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.044 - -0.041. Let n = r + 0.303. Let f = n - 3.3. Are -0.03 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 81. Let w = -82 - i. Solve 4*r - w = -4*k - 10, r = -4*k - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*c**2 - 311*a**2 - 3*a*c**2 + 2*a*c - 118*c**2 wrt c.\nAnswer: -4*a**2 - 6*a - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4824, -38510, -129942, -307992, -601532, -1039434, -1650570?\n\"Answer: -4812*h**3 - h**2 + h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -66. What is the derivative of -g*t - 29 - 13*t + 18*t wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 20*q**2 + 96*q - 7. What is t(11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 16*w**2 + 5. Let p be f(16). Let x be 1 - (-3 + 2\/1) - -2. Suppose -x*v + 11 = -p. Solve v*m = -8, 0*z - z = 5*m + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 20*l. Let a be f(-6). Let y = -25 + 19. Find the common denominator of 54\/a - (-2 - y) and 67\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 8*g**2 - 2*g - 4. Let d be w(-8). Suppose 5*q + 4*i + 4 = 3*i, 4*q + 3*i = -d. Which is greater: -10\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p**(-2\/7)\/p))\/p)*p**(-3\/13))\/(p**(-28)\/p)**23 assuming p is positive.\nAnswer: p**(60741\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 3, -3\/7, -3.95, -3, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3*k*y - f**3 - 2*f**2*k*y + 3*f**2*y - 8*f*k + 4*f + k*y - 2*y wrt f?\nAnswer: -30*f*k*y - 6*f - 4*k*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 41. Suppose -b + i = 1, -3*b - b - 1 = -l*i. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341815?\nAnswer: 5, 137, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + -7 + 3 - 3) - (-16 - -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**2 + 84*n + 7. Let f be k(8). Let b(r) = r**2 + 24*r - 12. Calculate b(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -6, 0, 3\/7 in descending order.\nAnswer: 78, 3\/7, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a**2 + 12*a + 3. Give z(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20106, 20106, 20102, 20094, 20082, 20066, 20046?\nAnswer: 20022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1287)\/(-286)*(-24)\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -372347?\nAnswer: 37234b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6937*w + 10097*w - 10922*w = -24858*w - 2911180 for w.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142.9 - -144. Which is the nearest to 1? (a) 2\/25 (b) 3 (c) -0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13655, -27230, -40837, -54494, -68219, -82030?\nAnswer: -95945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m**3 - 114*m**2 - 331*m - 161. Let p(l) = 18*l**3 - 112*l**2 - 334*l - 162. Let h(a) = 13*p(a) - 14*v(a). Find r such that h(r) = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*4\/(-2)*(-1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let u(s) = s**2 + 2*s. Suppose 3 = 5*o + 8. Suppose -5*d + 1 = -9. Let v(q) = d*t(q) + o*u(q). Factor v(g).\nAnswer: g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/(-3))\/5)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 - 7*v**3\/6 - 5*v**2 - 12*v. Calculate b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lzoyzoyyyxyxl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22179671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i - 13*i + 100*i.\nAnswer: 113*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 48. Let a(y) = 9*y**2 + 396. Let q(n) = -4*a(n) - 33*g(n). Let b(w) = 9*w**2 - 3*w. Give q(b(p)).\nAnswer: -243*p**4 + 162*p**3 - 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(-5)\/((-20)\/3). Suppose -4*t = -t - 6. Let b = d + t. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14\/(h\/(h*h**(-17)\/h)) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-37 - -5)) + 11 + 1 + -20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70) - sqrt(70))*1)\/(sqrt(100)\/(sqrt(20)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 10*b - 11. Let u be t(-7). Let n be (u + -6 - (-14)\/(-4))*18. Solve 4*w + 25 = -s, -3*w + s - 1 - n = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165700426 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + a + 20, 3*h + 4 = h - 2*a. Let y(q) = -q**3 - 5*q**2 + 4*q - 6. Calculate the smallest common multiple of y(h) and 22\/3 - 1\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 7*c - 5*c)*(3 - 3 - 2*c**3)*(-2 + 2 - c).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/14)\/((-12)\/212) and -93\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*l - 320*l + 51*l**3.\nAnswer: 51*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/2)\/((g*g\/g**24)\/g) assuming g is positive.\nAnswer: g**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(99) - sqrt(11)) + 3 + 4*sqrt(11)*-2*-5)*1.\nAnswer: 2 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 10*n + 11. Let d be p(-9). Suppose -d*w - 111 = -5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {r: 6, w: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from {a: 1, e: 8, o: 4}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 3. Calculate the remainder when 37 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-16))\/5)\/((-20)\/(-1040))*(-890)\/(-267)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 41945731 = -5*q, 16*k = 13*k + 3*q + 125837211. Suppose -233254264 - k = -4*y. What is y rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -92, -186, -280?\n\"Answer: -94*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3966486?\nAnswer: 2, 3, 71, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43963*z + 420 = 43943*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/3 + 3*a**2\/2 - a. Let g(n) = -4*n + 6. Let q be -4 + 6\/8 + 315\/(-84). Calculate q*d(j) + 3*g(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92.6 * 0.4.\nAnswer: 37.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 91, 290, 683, 1336, 2315, 3686, 5515?\n\"Answer: 11*z**3 - 2*z**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:26 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/710796126 and 137\/30?\nAnswer: 3553980630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Suppose u - 1 = y, -u = -5*y - 7 + g. Suppose u*h = -h. Which is greater: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 18 = 6*k, 5*k = -0*d + d - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -13, 6, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 18*x. Let r(p) be the first derivative of -6*p**2 + 0*p**2 - 8*p**2 - 163 - 60 + 16*p**2. What is r(b(w))?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from thtcccctttstchhettch?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*j = 7342 + 7148 - 1893 - 2311 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853694 is divided by 832?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25592*j + 12944 = 13847*j + 13363*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 1220 = -4*s. Let z = 203 - s. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115.8754 + 115.7754. Let d = 2 - 0. Which is the closest to -12? (a) 5\/4 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14337941297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + -2 - sqrt(76)\/sqrt(4)*1.\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73155 + -659033\/9. Let n = v + 883\/18. What is the common denominator of n and ((-6)\/27)\/((-4)\/69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y - 9. Is 16 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.1962 - 0.0438. Let c = 1.56 - q. Round c to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 90*q - 474 - 1038 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14120200 rounded to the nearest 100000?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 0*z = 90. Let q = z - -8. What is the remainder when 68 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 + 102 = -4*c, -c = -5*v + 541. What is the greatest common divisor of v and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/((-4)\/(-3 + 19)). Let n = -291 - m. Suppose -2*b = b - n. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267449 is divided by 789.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(35\/(-27)))\/((-6)\/(-4))*(-15)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90216 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: Let u(y) be the third derivative of y**4\/24 + y**2. Let f(o) = -17*o. Let m(j) = -253*j - 264*j + 524*j. Let k(p) = -4*f(p) - 10*m(p). Give k(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15571\/6 + 2616. Let v = -2\/3821 - -286607\/61136. Calculate the common denominator of v and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 6, q: 2, l: 1}. What is prob of sequence ooq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 4 - 6*c - 269*c**2 + 1 + 8 + 95*c**2 wrt c.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 12, -72 = 2*o - 5*o + 3*u. Suppose 4*l - 5*w - 30 = 3, -4*w = -4*l + o. Suppose -l*a + c = -153, 5*a - 227 = 2*a - c. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24432 + 43079. Suppose -6*o - 5141 = -u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + -6. Let l = 37 + r. What is the nearest to 2\/11 in l, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = o - 36, 30780 = 5*o - c + 30768 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158010 is divided by 197?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/116 and -65\/12789464.\nAnswer: 12789464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/160 and 143\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012500 (base 6) to base 11.\nAnswer: 3353a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18277?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338\/3 + 114. Let t(m) be the first derivative of 1\/4*m**4 + i*m**3 - m + 1\/2*m**2 - 1. Give t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**2\/2 - m + 6. Let q be k(6). Suppose 1 + 14 = 5*i - 5*h, 0 = i + q*h - 21. Let x(z) = -z**2 + 5*z + 7. Determine x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w - 49. Let j = 40 + w. What is the remainder when j is divided by 0 + 2 + 12 + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 15*s - 179*s**3 + 107*s**3.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/60 and 17\/216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -155080, 4, -38?\nAnswer: -155080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1514455 (base 7) to base 3\nAnswer: 101110011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8211685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.6*1358347.\nAnswer: 8965090.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*n**4*u**2 + 3*n**2*u**3 - 182*u**3 wrt n?\nAnswer: -184*n**3*u**2 + 6*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409303 is divided by 88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12238, 24715, 37186, 49651, 62110, 74563, 87010?\nAnswer: 99451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 368194911 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -2\/3, 0.1, -15\/13?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 4*l. Let w = 4 + -2. Let o(h) = h**3 - 3*h**2 - 4*h + 5. Let p be o(4). Solve -l*r = -4*q - 8, -q - p - w = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -270.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 795621865 + 0.304\nAnswer: 795621865.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119780.999937787 - 119781. Round p to seven decimal places.\nAnswer: -0.0000622","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6614 = 889*d - 4*k - 26283, -115 = -3*d + 5*k - k for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n + 89*n + 2*k - 22 = 0, -5*k - 15 = 0. Let b(h) = h**3 + 6*h**2 + 3*h - 1. What is the lowest common multiple of b(-5) and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*y + 527. Is y*(-5 + (-20)\/(-5)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -91 (c) 13 (d) -2\/5 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 520581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t + 15 - 42 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -124859, -124867, -124883, -124907, -124939, -124979?\n\"Answer: -4*k**2 + 4*k - 124859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 67*i + 715. Let g be n(55). Sort 1, -23, g in descending order.\nAnswer: g, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -25. Solve g*u + 6 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 5*r**2 + 2. Let l be c(-5). Suppose l*v - v - 4 = 0. Solve -2*u + v = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - (-65 - -1). Suppose -k = 2*i - 4*i. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, 2\/19, 0.7, 5.5, 0.5, -10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Suppose 5 + 1 = 3*h - 3*s, 3*s + 9 = 4*h. Let n(b) = 5*b - 2 - h + 5. Give n(m(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/16907840 and -139\/240?\nAnswer: 50723520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21558935 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + sqrt(1700)*-1 + -2)) + sqrt(1700))**2 - ((5 + sqrt(17) + -1 - sqrt(17)) + 2).\nAnswer: 80*sqrt(17) + 6798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d (base 14) to base 15.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-80)\/6)\/((-3)\/(-18)). Let i = 70 - q. Suppose 0 = r - 0*r + 5*o + 5, 0 = 2*r + i*o - 14. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**2*y**3 + 1379690*m**2 - 20138*m*y**3 - 2*y**2 wrt y?\nAnswer: -42*m**2 - 120828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + (sqrt(147)*-2*-6 - sqrt(147) - (5 + 1*sqrt(147))))**2.\nAnswer: -420*sqrt(3) + 14709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from ffdrsrfwrfsjsrd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -180. Find the second derivative of 1 - 2*w**3 - 71*w**3 - i*w - 15*w**3 wrt w.\nAnswer: -528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 26 = 2*n, 2310*n = 3*d + 2308*n + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 2. Let h(r) = 14*r - 1. Let o(q) = 15*q. Let u(n) = -4*h(n) + 3*o(n). Suppose -214*y - 6 = -216*y. What is y*u(j) - 7*g(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437504165 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 q when four letters picked without replacement from qyqffqqqyqqf?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 178150?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (0 + (2 - -1) + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 - 9*b**3 + 0*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 16. Let w be p(6). Let q be 0 + -4*12\/w. Let v(h) = h**3 + 6*h**2 - 2*h - 3. What is v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4) - (-9)\/(-2)) + (-9334 - -9322) - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 1. Let x be b(1). Suppose 512 = -x*k + 2227. Suppose 8*m - 2*l = 3*m + 425, 4*m = l + k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 3.3, -27, -1\/10, 1\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 57*t + 1352. Let b be c(18). Solve 2122 = -b*x + 2136 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-5) - (-2 - -4). Let o be 2 + 0*p\/(-6). Solve -4 = o*a - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkpkzarpr. Give prob of sequence zrrx.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 13*l**2 + 7*l + 7. Let s be v(7). Let x(z) = 71*z + 26. Let d(r) = 212*r + 79. Let f(b) = 6*d(b) - 17*x(b). Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 2*f - 1. Let i = 47 + -45. What is n(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 7. Suppose 3*h - 10 = -2*h. Let k(d) = -d + 7. Let s(q) = h*f(q) - 3*k(q). Let t = -8 + 13. Determine s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from ldldllllllll.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 7. Let c be h(-3). Suppose -2*d + 9 = n, c*n + 8 = -n + d. Let r(g) = -2 + 3*g**3 - 2*g**2 - g**3 + 3. Calculate r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -106638322?\nAnswer: 2\/53319161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12221 - 20958. Let s = 87289\/10 + w. Calculate the common denominator of s and 53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let i(y) be the second derivative of -y**3\/2 - y + 6. What is p(i(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - k**2 + ((15 + 50 + 0)*(3*k - 4*k + 2*k) + 2*k + k + 0*k)*(-5*k + 19*k + k).\nAnswer: 1019*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2166)\/(-208)*(-16)\/36. Let y = m + 63\/52. What is the common denominator of y and -11\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -57. Which is the smallest value? (a) -9\/11 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 141*r**2 + 667*r + 3124. Determine l(65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - r + 1. Let u(n) = -13*n**3 + 2*n**2 - 2*n + 2. Give 2*p(z) - u(z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 46. Let b(g) = 11 - 4 + g + 0. Let v be b(h). Solve 0 = v*w - 15 + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*w - 31. What is the least common multiple of 240 and w?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 520, -1057, -2 in descending order.\nAnswer: 520, -2, -1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 4 (c) -3 (d) 2\/5 (e) 286 (f) 5 (g) -21\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-2)*419)\/(4 - 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6*1737\/386?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614781 is divided by 2070.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*k + 101*k - 3224. Suppose 0 = 22*d - k - 3602. Is 236 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raau when four letters picked without replacement from aaarrayrayaauaaarya?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3\/2*s**4 + 0*s - 1 - s**2 + 4\/3*s**3. Let h(t) = 5*t**3 + 3*t**2 - 2*t. Suppose 16 = -a + 5*a. Determine a*g(z) - 5*h(z).\nAnswer: -z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 4) to base 15.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 10*b**2 + 10*b**2)*(-b + b - 2*b**2) - 190*b**3 - 21*b**5 + 190*b**3.\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Let d(z) = -z**2 + 6*z - 4. Let c be d(t). What is the greatest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 + 3*r - 3. Let y be p(-6). Suppose 3*n - 129 = -99. Calculate the greatest common factor of n and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a3c - -10d?\nAnswer: 12b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/41, -0.2, 0.2, -1 in decreasing order.\nAnswer: 0.2, 1\/41, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 58*d - 835. Calculate x(70).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*20552\/18816 + -44.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1186*n**4 + 24*n**2 + 38687 wrt n.\nAnswer: -4744*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/j)**28*(j*j\/((j*j**4\/j)\/j))\/(j*(j**2*j*j)\/j) assuming j is positive.\nAnswer: j**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + -15 - 2\/1. Suppose -46*v + 41*v + 75 = 0. Let f be (v\/6)\/1*2. Put u, -3, f, 20 in descending order.\nAnswer: 20, f, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = -42. Let g be 6\/i + 48\/21. Let w = g - -6. Solve 3*m + 16 = -3*t - w, -5*m = -4*t + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*g + 60\/7*g**3 + 52\/7*g**2 + 0 + 4\/7*g**5 + 4*g**4.\nAnswer: 4*g*(g + 1)**3*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 159 - 153 + 301)*(-5 - 1 - 6) + (-m + 2*m + 0*m)*(-4 + 0 + 6) - 2*m + 5*m - 4*m in the form t + x*m and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00559881 to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 7*b + 1. Let t be c(6). Let h(v) = v**2 - 6*v - 3. Let a be h(t). Is (81 - -2) + a + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -22*r**5 + 37404*r**4 + 293734*r**3 + 72404*r**2 - 1140384*r - 956480 = 0.\nAnswer: -7, -20\/11, -1, 2, 1708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29015 is divided by 76.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21300547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most -1321.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 350242033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*8\/(-3). Let t(h) = 6*h + 4. Let r(c) = -7*c - 3. Let m(f) = -6*r(f) - 5*t(f). What is the tens digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/120)\/(16\/10 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 74841.\nAnswer: 748410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -358 - -5?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736006883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.3 - -5.3. What is the closest to -1\/3 in y, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9977\/635 < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/12)\/(3\/132). Let g(j) = 105*j - t*j + 0 - 1. Give g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98205 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1400809 divided by -625\nAnswer: 1400809\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 21. Suppose 0*q + 4 = 4*q - y, 5*q + 4*y + j = 0. Solve q*i = 5*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1245 - -1247. Let i be 10\/2 + 0 + 0. Solve -i*y - 30 = -y - 2*m, -2*y = d*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -40. Let o be 1\/((-4)\/4)*-7. Let p = o + -2. Calculate the greatest common divisor of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185+-150108\nAnswer: -149923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15967849, -15967848, -15967847, -15967846, -15967845, -15967844?\n\"Answer: i - 15967850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 8. Let d be 4\/a + 3\/(-9). Let s(f) = f - 1. Let i be s(d). Are -1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from snnllnlns?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -29 - (-3 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z - 69 + 2*z + 6*z + 0*z + 0*z.\nAnswer: -7*z - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 98 = -2*k. Suppose 5*a = -4*x + 3*x - 13, -2*x + 5*a + k = 0. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-198)\/200)\/(3801\/(-12670))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3716, -0.4, 1\/5, 3, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -3857 - 643. What is the remainder when j is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*u - 76833 = -20268, -3*a = -2*u - 33939. What are the prime factors of a?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 49. Suppose -f + 91 = 3*f + p, -2*f - n*p + 41 = 0. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 32. Is 2\/135 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/3 - 384*j**4 + 96854*j**3\/3 - 262920*j**2 + 693056*j\/3 = 0 for j.\nAnswer: 0, 1, 8, 91, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169672 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1098)\/(-21))\/(-6 - 129\/(-21)). Let z = 934 - k. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**3 - 6*a**2 - a**3 - 9*a**3)*(0*a + 9*a - 2*a + (2 + 2*a - 2)*(-6 + 2 + 3)).\nAnswer: -5*a**4 - 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 + 235. Let x = a + -66. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5836.987014 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-42 + 24 - -42) + (-2 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -953063 or -953242?\nAnswer: -953242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874406129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -713*u - 5711. Determine a(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from oooaoaaamo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 348*d + 1872. What is o(64)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let b = 84 - 118. Let f = b + 33.8. Sort -1\/4, f, g.\nAnswer: -1\/4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oejn when four letters picked without replacement from noeooejeejojjeo?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a**2 - 32017294*a - 3766740 = 0. What is a?\nAnswer: -941685, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(165))\/sqrt(3))\/(-1*sqrt(396)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*m - 11, 4*m + m = 3*g - 7. Solve g*d = 27 - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -10, -2, -9\/4, -5 in ascending order.\nAnswer: -10, -5, -9\/4, -2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**2*p**2*u + 47*b**2*p + 2*b*p**2 + 8*b + 518*p**3*u + 3*p**3 wrt u?\nAnswer: -6*b**2*p**2 + 518*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 2*o + 5. Let l be f(0). Suppose -3*a + 6 = -3. Suppose -h + a + 0 = 0. Solve h*i = u + 1 + 7, 0 = -l*u - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 764293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose -h*x + 220 = -35. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-32)\/24)\/(2\/(-39)) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204343403 + -1?\nAnswer: 204343402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -598*u**4 - 6127 wrt u?\nAnswer: -2392*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.665 + 0.276. Let j = 2.4 + p. What is j rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80, -105, -154, -239, -372, -565, -830, -1179?\n\"Answer: -2*x**3 - 11*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -18 (c) 10 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3727 (b) -2\/17 (c) -3\/5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y - 2. Let b be z(-4). Suppose -5*g + 35 = 5*q, 0 = -q + b*g + 4 - 3. Calculate the lowest common multiple of q and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*t = -15, -v - 2*t = 4*v - 25. Suppose 0*f = -v*f + 590. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57502 greater than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let z(r) = -613*r**2 + 6*r - 10. Give z(k(h)).\nAnswer: -613*h**4 + 6*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65394.59 minus -36253?\nAnswer: -29141.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oollollllllollol. What is prob of sequence loll?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 1256?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssbbqbqsbb. What is prob of picking 2 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 560662 - 560662 - 26030*m to y + p*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**(-4\/5)\/a)\/a)*a**(-3\/4)*a**(-1\/2)\/(a**(-1\/6)\/a) assuming a is positive.\nAnswer: a**(223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 2*n - 4. What is the lowest common multiple of 14 and u(2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 49. Suppose 0*n + r = n. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 284696*n**2\/3 + 1138771*n\/3 - 284692.\nAnswer: (n - 284692)*(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/3 + q - 2\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/11)\/a*a)\/a**(3\/23))\/((a\/(a**(-24)\/a))\/a**15) assuming a is positive.\nAnswer: a**(-2793\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8272*a**2*h**3*n - 21*a**2*h**2*n + a**2*h**2 - 11*a*h**3*n - 143*h**2*n - n wrt h.\nAnswer: 49632*a**2*n - 66*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w - 1. Let i(j) = -13*j**2 - 10*j - 10. Let z(p) = i(p) + 6*y(p). Let d(n) = -n**2 - n. Let q(t) = 6*d(t) - z(t). Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3\/4 (b) -2\/15 (c) 45266 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 smaller than -8015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9\/(j*j**(-5\/3)))\/(j*j**(1\/5)*j\/(j\/j**(-2\/11))))\/((j*j**(-2\/5))**29*(j*j**(-2))**46) assuming j is positive.\nAnswer: j**(6146\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 5*f, -2*t + 25*f = 20*f + 10. Let w = 0.2 - 0.2. Let h = w - -2. Which is the smallest value? (a) -0.03 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/5)\/(1\/3). Suppose -3*d - 84 = d - 2*w, 5*w = 0. What is the tens digit of -104*(d\/6 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**6\/90 - 2*f**5\/3 + 19*f**4\/6 - 37*f**3\/6 + 3*f + 4. Let s(g) be the second derivative of d(g). Let s(r) = 0. Calculate r.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001100010 (base 2) to base 15.\nAnswer: -182d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113\/21 + 33\/7. Which is the closest to 2? (a) 0.1 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-533)\/(-492) + (-2)\/6. Sort t, -0.1, 16 in decreasing order.\nAnswer: 16, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -48) + (-24 - (-34)\/2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -225223.3 to the nearest 1000.\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 92\/3*3\/(-2). Let a(c) = -18*c + y*c - 16*c - 23*c. Let u(o) = -3*o. Calculate a(u(n)).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17603, 35205, 52807?\n\"Answer: 17602*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 12\/(-3) + (2 - 5). Let a be 2\/((-4)\/(-6)) - 15. Let c be ((-10)\/(-20))\/(10\/a). What is the closest to -0.1 in f, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 12, -w - 2*c - 24 = 2*w. Let a be (w\/(-32)*-2)\/1. What is the smallest value in 3, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 - 3334\/17. Let j = -796.27 + 791. Let o = -5.77 - j. Which is the smallest value? (a) -0.2 (b) o (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -150?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/4)\/((-24)\/5248).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3 - 5*f**3 + 43367*f + 6*f**3 - 43384*f + (-f + f - f**2)*(-2*f - f + 2*f).\nAnswer: 2*f**3 - f**2 - 17*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from xxffuuxxxf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-112)\/(-6) + (2 - (-8)\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 2*j + 1. Let c(f) = -f**3 - 4*f**2 - 5*f - 4. Let p be c(-3). Calculate the remainder when 66 is divided by y(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 9475*t**2 + 2367*t**2 + 2369*t**2 + 2370*t**2 + 2373*t**2.\nAnswer: 4*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 280*z - 553. Calculate p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 12*s + 49 + 12*s. Let b be y(-3). Sort -26, 5, b in ascending order.\nAnswer: -26, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 10*y**2 + 8*y**2 - 18*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and -5*6\/(-32)*42\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294.203035127 plus -3?\nAnswer: -1297.203035127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhp when three letters picked without replacement from {p: 2, h: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34926663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*r + 246 = d, 2*r = -3*d + 716. Suppose 17*o = 20*o - d. Suppose -o = 4*q - 6*q. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 156?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 14. Let i be l(11). What is the first derivative of 3 + n**2 - n**2 + 3 + 3*n**i wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from {t: 2, w: 1, u: 1, v: 2, e: 2, r: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 171539*x - 1 - 181944*x.\nAnswer: -10405*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, v: 2, b: 11}. What is prob of sequence zvt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7*b + 13*b - 12505, -r - b = -12525. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.68 + 2.08. Sort u, 0.5, 2\/13, 1\/15 in decreasing order.\nAnswer: 0.5, u, 2\/13, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 319, -1\/4, 0, -6, -0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 918958\nAnswer: 2\/459479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05636 + -4214.05636. Let h = -4234.51 - m. Let p = -19.7 - h. Round p to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54522926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/3 + 6*s. Let q(z) = -4*z**2 - 2*z - 2. Let m(t) = 9*t**2 + 5*t + 5. Let v(u) = 2*m(u) + 5*q(u). Calculate o(v(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let a be n(-8). Let q = -6 + a. Solve -5*j + q = -7*k + 4*k, -j = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -10. Let u = l - -8. Let q = 4 - 2. Which is the second biggest value? (a) q (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + -3 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 smaller than 300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 127773 = 35*t + 21*t + 122243 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5489385 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48290 divided by -5.\nAnswer: 9658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65002765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0*f + 0*f - f + 7*f - 5*f. Let v(j) = 184*j**2. Give v(g(x)).\nAnswer: 184*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53292, -106634, -159976, -213318, -266660, -320002?\n\"Answer: -53342*x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g + 72 = -200 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 585*t**2 + 78070*t - 666. Determine y(112).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260 - -1826\/7. Let n be 21\/(-24)*2 - -2. Let l = 13206 + -13205.76. Sort n, w, l.\nAnswer: l, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utj when three letters picked without replacement from ujujujuujjrjtjjujju?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 119*c = -2839 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) -1\/5 (b) -5 (c) -9\/4 (d) -314\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 + 2*r + 4. Let d = -183 - -187. Calculate l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 20708*x + 214410632.\nAnswer: (x + 20708)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186388 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3 + 3*z**2 - 18*z = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678*g - 1305 + 2597 - 1292 + 1679*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 187176994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1249 (b) -3\/2 (c) 3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let h = 4 - 10. Let q(c) = 7*c**2 - 6*c - 6. Let o(p) = p + 1. Let v(f) = h*o(f) - q(f). Give v(k(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 11. Let p = -4 + -9. Let m be u(p). Suppose -3*l - 4 = 4*o - l, 0 = -2*o + l + 2. Solve -m*x - 3*j - 1 = -14, 3*x + 2*j - 17 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, z: 4}. What is prob of sequence zyy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2464?\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16f (base 16) to base 12\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 262137 and 0.1?\nAnswer: 26213.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 6 + 20*g - 5*g**3 - 15*g + g**3 + 3*g**3 in the form n*g**3 + b + v*g + w*g**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2125348 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -38*u. Let q(h) = -h + 1. Let o(i) = -b(i) + 4*q(i). Let t be o(2). Suppose -2*z = -6*z + t. Calculate the highest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 - 7*q + 10. Suppose -2*l - 8 - 8 = 0. Suppose -66 = 2*t - 4*t. Calculate the remainder when a(l) is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17489, -17489, -17487, -17483?\nAnswer: -17477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/13 (b) -58 (c) -12.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k + 49*k + 51*k**2.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-8)\/3 + 2\/(-3)). Which is bigger: -12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - r**2 + 2*r + 31*r**4 - 2*r**3 - 32*r**4 to p*r**3 + d*r**4 + f*r**2 + k*r + a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2282, -9174, -20660, -36740, -57414, -82682?\n\"Answer: -2297*v**2 - v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 7*b - 5*b + 0*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 + 3*b + 3. Let m be c(-5). What is the third derivative of -v**3 - m*v**2 + 7*v**3 + 10*v**2 - 2*v**3 wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-12.3454\nAnswer: -8.3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 114?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4969399662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3264 times -5?\nAnswer: 16320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/430164 and 179\/180.\nAnswer: 2150820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from mgmigmimim?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 10*n**2 + 8*n - 4. Determine f(9).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 5*g**2 + 2*g + 5. Let l be m(-6). Suppose -4*v + 5*h + l = 0, -v + 0*h + 92 = 4*h. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -536.2 - -536. Which is the closest to -7? (a) -2 (b) -0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:52 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.1 (c) -19 (d) -12 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}