diff --git "a/data/dm_maths/full_data_1/10375_11255.jsonl" "b/data/dm_maths/full_data_1/10375_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10375_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m be ((-4)\/(-5))\/((-6)\/(-15)). Suppose m*a - 10 = 0, -5*a = -2*c - 0 - 17. What is the derivative of 9*y + 1 + 4*y**c + 0 - 9*y wrt y?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -104*d - 94. What is q(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68344*j*t**2*z**4 - 5*j - 5*t**2 - 89*t*z wrt z?\nAnswer: 820128*j*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*f - 4144 = 5226 - 1129 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/((-10)\/(-10)). Let l(w) = w**2 + 2*w + 1. What is the least common multiple of l(r) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34944 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26.01 times -0.028\nAnswer: -0.72828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7252*v**2 - 35*v + 14. Let r(m) = 3627*m**2 + 20*m - 8. What is -4*l(t) - 7*r(t)?\nAnswer: 3619*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 24 = -0*u - n, -3*n = u - 32. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1.98 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 1010010122120?\nAnswer: -1010010122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - -240. Let n = -310.0000294 + y. What is n rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -475.\nAnswer: -475, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110100110010111001111 (base 2) to base 5\nAnswer: -420324444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 999, -5, -4 in decreasing order.\nAnswer: 999, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2) + (-8 + 6)*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2904*g - 2902*g + 4*w + 26, -3*w = 3*g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 29*w + 19. Is 20 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307073860?\nAnswer: 2, 5, 15353693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 4*c + 23*c + 7*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q + 4. Let y(n) = -7*n - 7. Let g(j) = -5*v(j) - 3*y(j). Suppose -z + 14 = 2*w, 0 = 4*w - 0*w - z - 16. Is g(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - v + 11 = 0, 24 - 8 = -q - 4*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((87\/72)\/(205\/1230))\/(1\/(-4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -351, -526, -701, -876, -1051?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c**2 - 12*c + 2. Let s be l(-6). Let u = 4 - -4. What are the prime factors of (44 - -1) + u\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/33 - 7\/(693\/(-10508163)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.1 in 0, 0.051, 5.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -606 - -1285. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 8 + 42 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 4 (c) 143 (d) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 17*p**2 - 62*p - 32. Calculate the least common multiple of 8 and b(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 6*d + 2. Let r be c(-5). Factor -2*l**3 - r*l**2 + 2 + 1 + 3*l**4 - 2*l - 3.\nAnswer: l*(l - 2)*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18682577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*j + 689*j + 26253 = -6862 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -8892 + 23407. Does 37 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 12 + 5 = -3*p, -4*r - p = 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1280 - 14054\/11. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 13*u**2. Let h(p) = 90*p**2 + p - 20. What is h(m(g))?\nAnswer: 15210*g**4 + 13*g**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 199725 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3648)*-3 + sqrt(3648))*-3)\/((sqrt(3) - (sqrt(33)\/sqrt(11) - sqrt(3)))*3 - (sqrt(3) + sqrt(36)\/sqrt(300))).\nAnswer: -400*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ots when three letters picked without replacement from sllsttsotw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-40)\/25*(-2030)\/(-4). Suppose -2*y + 2 = -4. Suppose n = y*q + 64. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 4) + -1 + -1 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 39*x**2 + 32*x - 43. Give j(-38).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493440.2 weeks in days?\nAnswer: 3454081.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274755.\nAnswer: 5, 109, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 r when four letters picked without replacement from djjrjjzjjggjgzrgggr?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**2 - 33*a**2 - 5*a**2 - 17*a**2.\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -12. Which is the third smallest value? (a) u (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 2. Let l(q) be the first derivative of -q**2 + q - 2. Let x be 5 - (2 + -4 - -1). Determine x*t(c) + 14*l(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 3791040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 - 14*v**2)*(0 - 7 + 0)*(3 + 1 - 6).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5829, -11427, -16799, -21945, -26865?\nAnswer: -31559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from zhhhzhzhhhhzhz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = 2*p, -36 = 4*d - p. Let f(r) = -r**3 + 0*r**3 - 6*r + 2*r + 1 - 8*r**2 + 3*r. Calculate the smallest common multiple of 17 and f(d).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**2 + 8*w + 20. Let i(n) = -46*n**2 - 39*n - 101. What is 19*a(g) + 4*i(g)?\nAnswer: 6*g**2 - 4*g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -0.5, 1, -1\/156, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (420\/(-270))\/((-12)\/((-2592)\/8)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79500, 159001, 238506, 318015, 397528?\n\"Answer: 2*a**2 + 79495*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55*67\/5896*32\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34275903 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1457 rounded to one dp?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29610.\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 614 = -4*f - 761, 2*v - f = 60 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**2 - 3*l + 45. What is the hundreds digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:03 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 28347540.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (93 - (86 - 39)) + 5\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041215 not equal to 1041220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*3\/19 + 8\/8.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21154 is divided by 258?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 0 - 4*y + 2 + 0. Let g be o(-4). Let p = 3 + g. Solve 0 = -p*a + 6 + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 11. Let y(o) = -2*o**2 - 11*o - 24. Let n be y(-3). Calculate x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w, 7*w = 47*o - 50*o + 361. What is the remainder when o is divided by 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let r be (39\/(-12) + 2)*4. Which is the smallest value? (a) r (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305708244?\nAnswer: 2, 3, 4241, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(33)\/sqrt(3)) - ((sqrt(297)*-1)\/sqrt(9))\/sqrt(3).\nAnswer: -3*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 23 = -4*f - l, 0 = 5*f + 5*l - 20. Factor 2118*n - 5*n**2 - f*n**3 - 2118*n.\nAnswer: -5*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/(-7)*420\/630?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 391.8 and -1760.\nAnswer: -689568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001731036 rounded to six decimal places?\nAnswer: 0.001731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/19, 13 in decreasing order.\nAnswer: 13, 8, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803 divided by 4.\nAnswer: 803\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1098971 and 0.491.\nAnswer: -539594.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12731668 less than 0.017097192?\nAnswer: -0.110219488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(325) + -4*sqrt(13)*2)**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 - 329.011. What is the closest to -0.1 in 2\/19, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-4 + -2 + -2*(-5 + (sqrt(1539)*-5 + -3 - sqrt(1539) - sqrt(1539))))**2).\nAnswer: -1206964 - 10080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*f + 516 = 629*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 + 57*i - 97. Give l(5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11559, 12720, 13881, 15042, 16203?\n\"Answer: 1161*c + 10398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75, -390, -891, -1554, -2355, -3270?\n\"Answer: 4*w**3 - 117*w**2 + 8*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 47) + (-4 - 0) + (10 - -4) + -41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/192840774 and -109\/9182894.\nAnswer: 192840774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.663844 kilograms?\nAnswer: 0.001663844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4780, -9192, -13606, -18022, -22440, -26860, -31282?\nAnswer: -35706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4 - 0. Suppose 10 = 2*y - 14. Let p be x\/6*9\/y. Which is the second smallest value? (a) -4 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 44 = 60*l + 39 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) - (-175)\/15. Let o(q) = 3*q - 30. Let y be o(w). Let a be 3\/y*-6 - 1. What is the closest to a in -2, 0, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-9\/11)*(m**0*m)\/(m*m*m\/m**11*m) assuming m is positive.\nAnswer: m**(106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*g - 9087 = -815 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-47 + -38 - -33).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -10, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 5. Suppose -3*r = 10 - 19. Let k(z) = 5*z - 9. Let d be k(r). List the prime factors of f(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180) - (sqrt(180) + sqrt(180)*-3) - sqrt(45))\/(sqrt(63)\/sqrt(567))*-6.\nAnswer: 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*b = 81, -3*f + 3*b = f - 79. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*t**3 + 37*t**2 - 37*t**2)*(-2*t - 5 + 5 + (2*t + 9*t - 3*t)*(0 + 1 + 1)) as v + o*t + g*t**4 + p*t**3 + l*t**2 and give g.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7)\/z)**(11\/6))**27*((z**1\/z)\/z)**(2\/17)*z**(2\/13)\/z**0 assuming z is positive.\nAnswer: z**(21935\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3439.44 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 17 + 28 + -43 + 4 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -1\/26, -4, -5, 2\/7, -1\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**5\/20 + 13*w**4\/12 - 37*w**3\/6 + 9*w**2\/2 - 33*w. Let n be q(9). Suppose n = 3*h + 187 - 838. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1110 and -11\/2670840.\nAnswer: 98821080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4343, -4344, -4369, -4436, -4563?\n\"Answer: -3*x**3 + 6*x**2 + 2*x - 4348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/60 + 5*j**4\/24 - j**3\/2 - 2*j**2. Suppose 2*m + 0 = 10. Suppose m = 2*f - f. Calculate c(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118442.\nAnswer: 2, 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(3 - 2 + 1) - 4 - 14 + 0)*(-5 + 2*b**3 + 5)*(8 + 3 - 4 + (-1 - 5 + 2)*(-2 + 3 + 2)).\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 - s**3 + s**5 - 4*s**2 - s**4 + 2*s**2 + 2*s**4 = 0. What is s?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 148\/(-28). Suppose -5*n = 5*j - 0*j + 60, n = -4*j - 36. Let y = s + j. Let h(i) = i**3 + 5*i**2 + 3*i + 3. Determine h(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 + 463*b - 2788. Give w(6).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*v - 6, -3*v + 2*i = -8 + 2. Suppose -4*q + q = -5*u + 55, -4*q - 8 = -v*u. Suppose 103 = 3*n - u. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 119*z - 303. Let c be o(-3). What is the greatest common divisor of c and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55354965900 plus 45?\nAnswer: -55354965855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456528643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 15. What is a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*t = -d + 2, -5*t - 2 = -d. Let k be (-8)\/(-36) + d\/(-9). Suppose 2*x - 14 - 2 = k. What is the least common multiple of x and 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28 and 1.7716?\nAnswer: 29.7716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345\/28 - 75\/4. Find the common denominator of -6\/49 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 32. Let p be k(-17). Differentiate 5*d - 4 - d - p*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -2, -11, -1 in ascending order.\nAnswer: -217, -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 - k - 6. Let m be t(-2). Solve -c + 4 - 1 = m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 159\/1647406?\nAnswer: 159\/1647406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/93 and -32\/1023.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106224022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109436 = 16*d - 15*d. Let w = -25564 + d. What is w rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 10. Which is bigger: -2\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 66559.023 minutes?\nAnswer: 46.22154375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 56. Let d be -1 - ((-58)\/f - (-4)\/18). Let m(c) = 15*c - 10. Let p be m(1). What is the second smallest value in p, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1079 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101 + -110411?\nAnswer: -112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 3. Let p = 24 + -4. Let l = z + p. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (2 + -3)*2 - -7. Let l be 10\/25*5 + (3 - v). Which is greater: 5\/4 or l?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(1 + 14\/(-8)). Let o = 0 + b. Let n(k) be the first derivative of -k**2 + k + 1. Give n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -3*d - 594. What is the remainder when d is divided by 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*n + 33*n + 15*n + 27*n - n + 16*n + 1.\nAnswer: -27*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/800 and -137\/133440?\nAnswer: 667200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.06 + -0.06. Let y be ((-3)\/(2 + 10))\/1 - 8\/32. Let v = -178\/63 - -28\/9. Which is the nearest to y? (a) v (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z + z - z to c + o*z and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a factor of 15999282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 59*n**2 - 25*n + 26. Let y(p) = -29*p**2 + 10*p - 12. Determine 3*l(a) + 7*y(a).\nAnswer: -26*a**2 - 5*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*g + 372*g - 121*g - 109 - 187 - 125*g.\nAnswer: g - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 5*b**2 + 4*b - 9. Let z(m) = m**3 + m**2 - 2*m - 3. Give -2*g(u) - 4*z(u).\nAnswer: 2*u**3 - 14*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, -246, -982, -2410, -4758, -8254, -13126?\n\"Answer: -38*w**3 - 4*w**2 + 6*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 5*j**2 + 0*j**2)*(j - j - 2*j) - 4*j**3 - 2*j**3 + j**3 + 12*j - 12*j + 7*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2) - (-2 - 5\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:11 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.101, 2\/7, -2\/5, 0.2, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 14*d - 9585 = 0. Let g = d + 1360. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 17*g**2 - 20*g + 35. Determine z(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose 6*p - 4*p + 4 = h. Let y = 1 - 5. Sort y, 3, p in descending order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - ((252 - 255) + -1 + 6).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 14. Suppose o = -0*o + x. Find the common denominator of -37\/8 and 146\/(-4) - o - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 41517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -47. Sort 475, r, -2 in descending order.\nAnswer: 475, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-f + 2*f**3 + f) + 5*f**3 + 0*f**3 - 3*f**3 + (-f - 2*f + 5*f)*(5*f**2 - 4*f**2 - 2*f**2).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2169991 + -3180886. Let m = 1010852.9981 + r. Let q = 42 + m. What is q rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9 - (-4)\/6. Find the second derivative of 0*p + b*p**4 - p - 3*p**4 wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3) + 2 + 0. What is the first derivative of 2*m**3 - 2 + 0 - 2*m**3 + v*m**4 wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 + -2.7. Let i = x - 2.5. Let b = -2.4 - -2. What is the third smallest value in b, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*v = -110, 50*v - 52*v = 2*z - 216. What is the remainder when 2008 is divided by z?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 646769*c*f**5 + 54*c*f**3 - 384*c*f**2 + 2*c*f + 8*c - 56*f**2 + 2*f - 2 wrt f.\nAnswer: 38806140*c*f**2 + 324*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/20 - t**4\/24 + t**3 - 113*t**2. Let a(b) = -b**2 - 2. Give 7*a(f) + 2*s(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-280)\/3*4\/((-4)\/(-21)). Let a = b - -3677. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -44*w**2 - 9890*w + 2237. Give c(-225).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001563863217 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030242120 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044 divided by -2?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 (base 12) in base 5?\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57744 - 28818. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let n(y) = 126*y**2. Give n(g(z)).\nAnswer: 126*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 56 = 7*n. Let q(y) be the second derivative of 1\/4*y**4 + 0 - 1\/6*y**3 + 0*y**2 - n*y. Find the second derivative of q(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3859, 3817, 3743, 3631, 3475?\nAnswer: 3269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 65*n**2 - 9*n - 11. Let g(l) = -32*l**2 + 5*l + 6. Determine -6*c(x) - 11*g(x).\nAnswer: -38*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1096 = 4*l - 5*l, 2*l = -5*n + 2166. Find the common denominator of 466\/374 + 0 + 128\/l and -23\/156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64042 micrometers in millimeters?\nAnswer: 0.00264042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 - -248.3. Let s = -85 + j. Let b = -7 - s. Sort b, -0.1, -3\/5 in increasing order.\nAnswer: -3\/5, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130394051859 from -23.9.\nAnswer: -130394051882.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 41*w + 2518. What is i(-31)?\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4462 (base 7) in base 12?\nAnswer: -b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2725 - 0.0725. Which is the nearest to y? (a) -1\/36 (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000083620728 to 6 dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + k + 15 = 4*l, -k - 5 = 4*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o + a + 3*a, 0 = -4*o - 4*a - 8. Let m = 43 + -25. Let f(g) = -g - 14*g**2 + 28*g**2 - 2*g - 2 - m*g**2. Calculate f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = t - 154, -4*t + 148 = -3*t + o. Let r = t - 35. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*b - 17, -4 = 2*b + 5*i + 2. Let r(o) = b*o + 0 - 4*o + 0. Let q(u) be the second derivative of 11*u**4\/12 - 7*u. What is q(r(g))?\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88019 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 158.67 and -0.011.\nAnswer: -1.74537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 4*-29*-2. Let m = 361 + -359. Suppose -27 - k = -m*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/20 - (-119)\/4 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1779715, 1779714, 1779713, 1779712?\nAnswer: 1779711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 11. Let x be k(0). Suppose -45 = z + 4*z - 2*i, 0 = -z + 2*i - 1. Let r = z - x. Solve -3 = 3*m - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -445, -888, -1331, -1774, -2217?\n\"Answer: -443*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(3\/(-9) - 47\/(-114)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179.84 - -176. Let s = 0.16 - z. Let x = 1\/47 - -139\/94. Which is the closest to -2? (a) x (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 217. Let k be f(0). Suppose 0 = 5*r - 0*v + 4*v - k, -2*v = -5*r + 229. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848368.\nAnswer: 2, 115523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**2*h**3 + 2*d**2*h**2 + 72*d + 5*h**4 - 2*h**3 + h**2 wrt h?\nAnswer: 36*d**2 + 120*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0619 - -4.0619. Let n be 6\/(-16)*(-14)\/(-3). Which is the third smallest value? (a) -4 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/234*-18)\/(((-24)\/(-17))\/4)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + 5017\/261 - -4. What is the greatest common factor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151452000 to the nearest one million.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -2.8, -403\/4, 1, 2\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*x**2 - 452*x**3 + 247*x**2 - 79*x**2 - 4*x**4 - 85*x**2 as k + g*x**2 + v*x + y*x**4 + c*x**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*v - 65514 = -301*v. Is v a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5900, -5907, -5916, -5927, -5940, -5955?\nAnswer: -5972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r**2. Let g(n) = -n. What is y(g(i))?\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 348.2851 micrometers?\nAnswer: 0.0003482851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 21*h + h + (-3*h + 3 - 3)*(2 + 2 - 6).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-16))\/((-12)\/8)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + ((3 - -3) + -4 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 27 - 51 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1091 (base 10) to base 16.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, 0.04, -2\/711, 5, -4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = -3*k - 3, -5*k = -3*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -x - 2*x - 5*m, 4*m + 20 = -5*x. Let p be (-8)\/(-14) - 0\/(-1). Is x less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59e69e (base 15) to base 5.\nAnswer: 2100114444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/20 + a**2 + 267*a. Give i(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 41*a - 5. Let m be k(5). Let t(o) = 200 - 10*o - m. Let i(c) = -22 - c**2 + 22. Determine i(t(y)).\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4*-2)\/(-12*(-4)\/600144). What is y rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/18*46240\/289000.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -3, 5, -2, 80711, 4 in ascending order.\nAnswer: -5, -3, -2, 2, 4, 5, 80711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45444052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -a03b3c?\nAnswer: -a03b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.842 + 0.132. Let i = y - -1.813. Let s = i - 0.1093. Round s to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 27*y**3 + 20*y**3 - 1 + y.\nAnswer: 47*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.18956 grams to nanograms.\nAnswer: 7189560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*1\/(-3). Suppose -5 + 1 = -4*h. Are y and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -15*o**4 + 139761*o**3 + 83868*o**2 - 55908*o = 0?\nAnswer: -1, 0, 2\/5, 9318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14.07. Let d = l + 0.23. What is the second biggest value in d, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 3*f + 1. Let c be l(-2). Let s(v) = v**2 - 5*v - 9. Let d be s(c). Solve -2*q = -0*o + 4*o + 12, -5*o - 15 = -d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*v = -724385 - 2315011. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -1\/6, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*b - 31510 = -2176*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 18 - 3*c + 29*c**2 - c.\nAnswer: 29*c**2 - 6*c - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39963 and 60753?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3443371137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100001 - 101011112201?\nAnswer: -101011212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8181\/57316 - 1\/8188. Let y = 0.9 + -4.3. Let d = y - -3. Which is the smallest value? (a) d (b) 0.07 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from flff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhsgnghhhhhhhhsshs. Give prob of sequence hhgs.\nAnswer: 275\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.71 in 20, -1, 0.4, -38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 41*f**2 - f - 37. Let n be b(-41). Is 5 a factor of (n\/(-4))\/((1 - 5)\/1940)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343586?\nAnswer: 2, 171793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let i(t) = -6*t - 6. Let j(q) = -i(q) - 5*v(q). Let h = 14 + -25. Let k(m) = m**2 + 10*m - 13. Let y be k(h). What is j(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223300 and 182700?\nAnswer: 2009700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3327, -6657, -9987, -13317?\nAnswer: -16647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 62?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30542835831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s - 3. Let h be u(6). Suppose -4*t - 10 = 2*b, -8*b + h*b - 4*t = 7. Let c = 93\/356 - 1\/89. What is the second smallest value in -1\/3, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - 0.28. What is the second biggest value in 1\/5, v, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3222420 (base 5) to base 7\nAnswer: 315402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1435 - -1435.01518. Round b to four dps.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - b + 2*b. Let i(z) = -2*z**2 + 6. Let w(k) = k**2 - 2 - 6*k**2 - 4 + 8*k**2. Let u(x) = -5*i(x) - 4*w(x). What is f(u(g))?\nAnswer: -4*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -69 - (-200 + 134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136))\/sqrt(4) - (sqrt(68)*-2)\/sqrt(2))\/sqrt(288)*-3.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137\/9 - -203\/18. What is the common denominator of 29\/23 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c**2 - 356*c + 782. What is y(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-87)\/((-16731)\/(-22836) + (-6)\/8)?\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/176 and 57\/896.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb (base 16) in base 11?\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*d + 1785 = -0*d, 0 = -w + 5*d + 903. Calculate the lowest common multiple of 222 and w.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/33*(-15)\/(-60).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(190) + ((sqrt(190)*-1 - sqrt(190))*-1 - sqrt(190) - sqrt(190)))\/((sqrt(300)\/sqrt(5))\/sqrt(6) + (sqrt(50) + sqrt(450))\/sqrt(5)))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 50340?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 98*m - 10*m + (0 + 0 - 1)*(5 - 2*m - 5) + (-m + 8*m - 3*m)*(2 - 2 - 1) to b + r*m and give r.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 49000 = 86*l + 39*l. What is the least common multiple of 441 and l?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 80.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 2*z - 4*z)*(-2 - 8 - 4) in the form g + v*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from ootz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 15. Let h(f) = -m*f + 0*f - f. Determine h(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-3 - -6)) + -7 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2996635*p**4 + 4*p**3 + 62321572 wrt p.\nAnswer: -11986540*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72\/169 in -2, 3, 0.5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8326 - 5405. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -9*k + 733. Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139760 and 4560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - o)*(16*o**2 - 1 - 3 + 2 - 13*o**2 + 2 - 2 + (26 - 14 - 17)*(3*o**2 - 5*o**2 + 0*o**2)) in the form w*o**3 + n + v*o**2 + y*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*l**3*t**6 + 2053*l**3*t**3 - 4*l**3 - 162048*l**2*t**2 wrt t?\nAnswer: -21360*l**3*t**3 + 12318*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -247 (c) 4 (d) 1\/10 (e) 728\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*n - 11*n - 11*n - n**3 as a*n**3 + m + r*n + q*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22178 - 22175. Let f(x) be the third derivative of 0 + 0*x**y + 0*x - 2*x**2 + 1\/12*x**4. Let v(k) = -32*k**2 - 2. Calculate f(v(n)).\nAnswer: -64*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -4*h + 3*x + 172, -5*h + 202 = 3*x. Let o be (-6)\/4*h\/228. Suppose 7*w - 4 = 5*w. Which is the nearest to o? (a) w (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7334 and 4304754.\nAnswer: 830817522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 294 = -14586. Solve 379*y - w*y + 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3770400 (base 8) to base 9\nAnswer: -1862087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, d: 2, b: 1, l: 3, c: 4, o: 2}. What is prob of picking 1 b, 1 l, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*f - 141*f**2 - 28*f)*((0*f + 10*f - 3*f)*(2*f**2 + 3*f**2 - 3*f**2) + 5*f**3 - 3*f**3 - f**3) + (2*f**3 - 4*f + 4*f)*(-f + f - 2*f**2).\nAnswer: -2119*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 - 120. Let q be (4 - j)\/((-60)\/(-210)). What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 10. Let b be t(11). Let y = b - -13. Let r be 8*(y\/(-16) + 1). Solve 5*w + 6 = 3*j, -3*j = r*w + 21 - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)\/((-686)\/137 - 10\/(-2)). Is -138 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -1135, -1145, -1151, -1153, -1151?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1236563 - 5?\nAnswer: 1236555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/3 + 27*z. Let o(f) = -24*f**2 + 8. Let h(m) = -m**2 + 2. Let g(w) = -4*h(w) + o(w). Give g(s(c)).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.8409 microseconds to milliseconds.\nAnswer: 0.1468409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576636?\nAnswer: 2, 613, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.052005584 and -1.102.\nAnswer: -1.049994416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w = 8*w - 9. Suppose 0 = -3*b - 0*b + 51. Calculate the greatest common divisor of w and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-2)\/(-12)). Let b be (-8)\/j + (-4)\/(-12). What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/20 - 13*g**4\/12 + 13*g**3\/6 - 2*g**2 + 2*g. Let b be n(12). Suppose -b - 5 = -p. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45\/4, -1\/6, 1\/21, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 306.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 794421994 - 109087644953648\/137317. Let n = -4902898730\/876219777 - h. Let k = -10\/709 - n. Find the common denominator of k and -1\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2379 and -37\/169.\nAnswer: 30927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 3*l**5\/10 - l**3\/6 + 14*l - 22. Let k(s) be the first derivative of u(s). Find the second derivative of k(z) wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {k: 3, y: 1, v: 3, p: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -359 + 2*v - 10*v + 327. Suppose -n + 0*n - 5*q = -73, 235 = 3*n - q. Calculate the remainder when n is divided by b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p = -10. Suppose -p*n - 95 = 2*b - 7*b, -2*b - 4*n = -68. Suppose l + 18 = 4*l. Calculate the highest common factor of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - o + 2258 = 2*o, 2*v + 4*o - 906 = 0. List the prime factors of v.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 2. Let h be f(-2). Let r(o) = o**3 + 4*o**2 + 2*o - 1. Let d be r(-2). Let y be (-1 - 1)\/(d\/h). Solve -y*z - z = -3*c + 5, 3*c - z = -11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + t = 1, -2*t = -5*z + 2*t + 30. Suppose -3*x - 4*m = 22, -4 = -3*x + 3*m + z. Suppose -4 + 0 = -g. Put -3, x, g in descending order.\nAnswer: g, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 162000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2 + 63*p - 21. What is a(14)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-20))\/(-3*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*g = 542*g. Is g greater than -6\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.10432 - 0.10432. Which is the second biggest value? (a) -1 (b) 4\/15 (c) i (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1130250*v**2 + 8240*v + 20 + 51425000*v**3 - 103984375\/4*v**4.\nAnswer: -5*(v - 2)*(275*v + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 306.13 - 305. Let u = s + -3.13. Let t = -10 + 6. What is the nearest to -1 in t, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(1*3\/(-2)). Let q be (j*1)\/((-3)\/(-2)). Suppose -3*k - 4*t + 165 = 0, k + 3*t - q*t = 55. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 28 = 0. Let l be (-4)\/5*(-385)\/2. What is the greatest common divisor of l and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302132 (base 5) in base 14?\nAnswer: -3747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 76\/140. Let s be 0 + ((-8)\/10 - -1). Which is the second smallest value? (a) z (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 86*s + 31 = 339. Let o(v) be the third derivative of -1\/2*v**s + 0*v + 27*v**2 + 0 + 9\/2*v**3. Differentiate o(h) with respect to h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 303.8 + -304. Which is the biggest value? (a) -11 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 11*y**2 - 6*y + 66. Let w be h(11). Solve 2*u - 4*z - 20 = w, 10 = -3*u + 8*u - 2*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 4:08 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 2*f - 1. What is q(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/4 - 6*l**2 - 285*l\/4 - 225\/2 = 0.\nAnswer: -5, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/24 + 11\/4. List the prime factors of -38*((-3)\/2)\/u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 * 70.29\nAnswer: 14901.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 141443 and -2.5668.\nAnswer: 141440.4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 0 = 3*n, i - 1 - 3 = -2*n. Calculate the least common multiple of 2 and (2\/i)\/(d\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613 + -590. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l + 1. Let w = 7 - 11. What is the remainder when b(w) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -27. Let c = -13 + b. Let y = c + -3.6. What is the smallest value in y, -1\/3, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3144*z**6 + z**3 - 128781*z**2.\nAnswer: -377280*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (952\/(-238))\/((-376)\/4).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:59 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/6 + -1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvv when four letters picked without replacement from wvvwvvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = -73*v + 289 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -73, -172, -309, -484?\n\"Answer: -19*z**2 - 4*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.49999402 - 0.5. What is j rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 8*q**2 + q + 9. Let j be m(-8). Let g(t) = j - 4*t + t - 2*t + 4*t. Let u(n) = 6*n - 4. Let z = 18 + -13. Give z*g(d) + u(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -5, 12, 15, -20 in descending order.\nAnswer: 15, 12, 11, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1c0 (base 16) to base 4\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/72 and 149\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3\/5))\/z**7)**(-1\/5)\/(z**(-2\/15)\/(z*z*z**(-6))*z**(-2)*z**5) assuming z is positive.\nAnswer: z**(-434\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100110 - -1?\nAnswer: -10100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 0.087, -0.3, -1?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/24*25\/((-225)\/(-216)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 4*q**3 - 13*q + 14*q.\nAnswer: 4*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-4) + (-2)\/(-1). Suppose -r + 2 = -5*z. Let k(o) = -o**2 + 2*o**z + 2 - 2. Let q(p) = 3*p**2. Calculate q(k(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - i + 4. Let j be a(0). Suppose -5*r - 13 + 3 = 0. Let x(y) = -8 + 3*y + 2 + 3. Let h(q) = q - 1. Give j*h(z) + r*x(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3899 = 3889. Let f(a) = 14*a - 13. Determine f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15194727 and 1494.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 659*k**2*l**3 - 4*k**2*l**2 - 53*k**2 + 2710*k*l**3 + 2*l**3 - 362*l**2 - 1 wrt l.\nAnswer: 3954*k**2 + 16260*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3677 - 7?\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359497 is divided by 13803.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3599\/(-1239) - (-8)\/420*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127602, -255206, -382810, -510414?\nAnswer: -638018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 14, 5, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 + 7*i - 12. Give d(5).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:12 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3094 and 7956.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8335?\nAnswer: 5, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3540*y**2 - 4144*y**2 - 8325*y**2 - 5246*y**2.\nAnswer: -21255*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -k + 3*l - 16, -3*k + 4 = -4*l. Find the common denominator of -3 + (-110)\/6 + 2\/k and 109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3357, 26938, 90945, 215592, 421093, 727662, 1155513, 1724860?\nAnswer: 2455917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1386 + 311. Let i be (k\/(-645))\/(1\/((-12)\/(-5))). Let u = -4 - -7. Solve -i = u*o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 18930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 249. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 * 0.3.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -391 (c) -0.1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + -4))**2 - sqrt(2299)) + -2 + (1 + sqrt(2299) + 1)**2 + 4*1*sqrt(2299) + (((1 + sqrt(2299))*2)**2 - sqrt(2299)).\nAnswer: 154*sqrt(19) + 11517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14539004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211336*u**2 + 2*u**3 - 211336*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32008 - 15507. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*r - 428787, 2*w + 3*r = 6*r + 285841. Let f = -73425 + w. Round f to the nearest one thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 25 = -4*z - 0*z, -3*y + 9 = 2*z. Let i be (-3)\/9 + (-166)\/z. Let a = -18 - i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(1\/3). Calculate the remainder when 169 is divided by -19 - -32 - (q - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, 7, 169, 331, 493, 655?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 6:33 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31817 is divided by 1223?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 - 18?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14352)\/(-80))\/((-4)\/(-60)). Suppose -t - c = -1353, t - 3*c = -t + b. Does 45 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 717.37 + -711. Let c = h + -6. What is c rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 + 1598882*s**3 - 5787*s + 277?\nAnswer: 20*s**3 + 9593292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42551 and 22.08?\nAnswer: 939526.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 2 + 2 - 1)*(28*i + 149 - 149).\nAnswer: 140*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*t**6 + 2*t**4 + 10*t**2 + 2?\nAnswer: -7200*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g - 61. Let c be p(-4). Solve -17*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -205474558531 and -188.\nAnswer: -205474558719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.694 + -13.594. Let h = -95.9 + a. Round h to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 4. Let k be w(-2). Let g(f) = f**2 + 38*f - 27. Let b be g(-39). What is the highest common divisor of k and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*v - 54. Let c = -1163 + 1163. Suppose -g = -c*g + v. Which is smaller: g or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -5 (b) 4 (c) -2\/3 (d) -2\/5 (e) -1032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 0 + 0)*(-4*a**2 + a**2 + 4*a**2) + 62 + 35 - 95 + 141*a**3 as f*a**3 + d + s*a + l*a**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225 * 7.70276.\nAnswer: -1733.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2\/3 - 2836*y\/3 - 1896 = 0. Calculate y.\nAnswer: -2, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -5557?\nAnswer: -555.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*n - 2 = 0, -13 = -5*p + n - 3. Suppose 3 = -c - p. Let d be (c\/15)\/((-1)\/12). Solve -g + 0*g = d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14948858861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4160175 - 0.0998.\nAnswer: -4160175.0998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x - 3*x - 2*x)*(-x + 0*x - 2*x) - 16*x + 10*x**2 + 16*x)*(52*x**2 + 29*x**2 + 10*x**2).\nAnswer: 1456*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.24, 5, -2\/19, -542.9 in decreasing order.\nAnswer: 5, -2\/19, -1, -1.24, -542.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*s = -75*s + 1094*s + 816*s - 115520 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -31.4 (c) -670 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (-219)\/(-9). Let l be g\/132 + (-31)\/11. Let x(a) = -a**3 - 2*a**2 + a + 4. Let j be x(l). Solve j*n - 5*n = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnammaummcmmmmmmcma. Give prob of sequence mc.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 349139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 4*p. Let w be (-4)\/18 - 76\/(-18). Does 12 divide f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4472*s + 9922*s - 5019*s - 4 in the form p + b*s and give b.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/2052672 and 137\/1152?\nAnswer: 12316032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3) + 6 + -5. Suppose -7*c = -p*c - 48. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22655081.\nAnswer: 47, 509, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95175841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 8, 750, -4, -9 in decreasing order.\nAnswer: 750, 8, 3, -1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200)\/sqrt(4) + sqrt(50)) + sqrt(400)\/sqrt(72))\/(2*(sqrt(490) - (sqrt(490) - sqrt(490)*2))).\nAnswer: 19*sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 4 - (3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -394*h**3 - 7*h**2 + 5*h. Let p(q) = q**3 + q**2 - q. Give 5*p(i) + x(i).\nAnswer: -389*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -926837\/30 + 30891. Find the common denominator of -19\/50 and h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4076 - -5851. Calculate the greatest common divisor of 71 and d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 64 - 10 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -2\/3*l**4 - 2*l - 7\/6*l**3 + 0 - 1\/10*l**5 - 1\/2*l**2. Let r be s(-5). What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/28996 and 35\/3344.\nAnswer: 2203696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 - -939. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3ac6?\nAnswer: 3ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4 - 65 + 15 - 8*i. Let c be u(-7). Let w = 30 + -19. Sort 4, w, c in decreasing order.\nAnswer: w, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/18)\/(749\/(-321)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1\/2 (c) 224692 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from {k: 1, z: 3, a: 1, x: 2, d: 10, w: 2}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-183)\/(-1952) - 3471\/(-2912).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 51919*c**4 - 4*c**3 - 385*c**2 + 165.\nAnswer: -120*c**2 - 1246056*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -51*m**2 + 8*m - 2. Let a = -138 - -89. Let p = a + 55. Let i be k(p). Round i to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*f**5 + 148*f**4 + 292*f**3 + 268*f**2 + 112*f + 16.\nAnswer: 4*(f + 1)**3*(f + 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 5*w + 4. Let o be h(-5). Let b = -0.00982 + 0.10982. Sort 0.2, -0.5, b, o in ascending order.\nAnswer: -0.5, b, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14883\/9 + (-136)\/(-102)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g - 880. Let a = -20 - g. Suppose -a = -2*t + 4*u, 4*t - 3*u = u + 404. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkv when three letters picked without replacement from uvvvukvvuvvuv.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3 + 794*a**2 + 75110*a - 741762 = 0?\nAnswer: -203, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -544.262\nAnswer: 560.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(501\/1670). Solve -2*v + 2 = -k - m, 2 = 3*k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 2*c - 4. Let p(k) = -5*k**2 - 2*k + 5. Let i be (-12)\/(-20)*(1 - -9). What is i*p(x) + 7*m(x)?\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -3 in decreasing order.\nAnswer: 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/9 (b) -8907 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.3, -9164\/13, -0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -32132 and 13.\nAnswer: -417716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzijzozzzzzzzi. What is prob of sequence jii?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14 + (3 - -19)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 75, 45, -3 in ascending order.\nAnswer: -4, -3, 45, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 236, 1704, 5674, 13394, 26112, 45076, 71534?\n\"Answer: 208*i**3 + 3*i**2 + 3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1366\/22539*33*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-56) + 3\/(-20)*1. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:23 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567104349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10139 + -9295. Which is bigger: c or 2534\/3?\nAnswer: 2534\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6668 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.447 - 0.153. Round g to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 2*c - 4*j, 177 + 222 = 3*c - 4*j. What is the remainder when 2738 is divided by c?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (21 - 12) + -38 + 2 - (56 - 54)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 170749a + 0?\nAnswer: 170749a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n - 71. Let j be y(-8). Suppose -j*q + 3 = 246. Put 2, -5, 5, q in descending order.\nAnswer: 5, 2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590241 divided by 543.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14551 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114.8 - 10.8. Let z = v + -103.154. What is z rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8081 - -8081. Let y = -5 - -3. Which is the closest to i? (a) -0.3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + 521537?\nAnswer: 521616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - -307. Let u = -115 + o. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, 6.\nAnswer: 3, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14106 - 14030 - (0 - -13 - ((-4 - -2) + 2))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/91364 and 27\/482456.\nAnswer: 847675192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/6 + (-143)\/66. Let p(m) = -m**2 - 8*m - 15. Let q be p(y). Let w be (-1)\/(-11)*(0 - -1). Which is the closest to 0.2? (a) -2 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*v + 771 - 775, 0 = 3*v - 2*i + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 + 34 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 8 = -16*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*q + 5 = 269*q - g, -4*q - g = -13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r**3 - 2*r**2 - 40*r - 5. Let a(v) = -10*v**3 - v**2 - 32*v - 4. Let k(b) = 5*a(b) - 4*c(b). Solve k(o) = 0 for o.\nAnswer: 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 29. What is j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121760408 to the nearest integer?\nAnswer: 33493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**16\/n)\/(n\/(n\/(n**(-13)*n*n))))**(-13\/5) assuming n is positive.\nAnswer: n**(-338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 3\/16, 0.5, 2, 4, 1 in increasing order.\nAnswer: 3\/16, 0.5, 1, 2, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:55 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4138*b**2 + 251*b + 9. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t + 10. Let s(r) = -32*r + 28. Determine -8*k(f) + 3*s(f).\nAnswer: -8*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 5*d**2 + 2*d**2)*(-d - 5*d + d**2 - 3*d**2).\nAnswer: -22*d**4 - 66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -694 - -699. Suppose -8 = -2*p - 4*f, 0 = 3*p - 8*f + j*f - 21. Solve 6*w = 12 + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158810715 divided by -5?\nAnswer: -31762143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223*0.0976463.\nAnswer: 21.7751249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000558 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 3\/40*t**5 + 0*t**2 - 159*t + 0*t**3 + 1\/20*t**6 - 1\/8*t**4 + 0 - 1\/28*t**7. Find v such that q(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -59*h + 72*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10616 and 269680902?\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1413 - -999. Let z = 414.0000187 + q. What is z rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) 4 (c) 8 (d) -0.3 (e) 0.5 (f) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 8. Suppose f = t + t. Is 27 a factor of ((-344)\/(-2))\/(10\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257266210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15572136884245920.0000053 - 15572138008475807. Let g = u - -1124229949. Let l = -62 + g. Round l to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -13, 0.122 in decreasing order.\nAnswer: 67, 0.122, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28563262 = 126*v + 2039884. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:04 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1241\/5 - 248. Which is greater: -23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w - 23*w + 10 + 8*w**2 - 19 + w**3 - 9 to the form j*w + b*w**3 + t + n*w**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477982?\nAnswer: 2, 238991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 37. Let t(c) = c**2 - 1. Let y be t(-4). Suppose 4*v - y = 25. Calculate the smallest common multiple of b and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(28)\/sqrt(2) - sqrt(14)))\/(sqrt(96)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -199*w - 16. What is the tens digit of i(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6442272 by -536856.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(6*(-3)\/(-9)). Suppose -4*p - 5*c + 87 = 0, -p + 3*c + 0*c + 9 = a. Solve 0 = 4*d + t + p, -3*d - 2*t = -6*t + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10007, 5, 3, -5 in descending order.\nAnswer: 18, 5, 3, -5, -10007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p**2 - 101*p + 15. Give h(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 13*c + 6. Let s be j(-13). Suppose -5604 = -3*w + 3*r, 0 = 3*w - s*w - 4*r + 5618. Round w to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3 + 2589*m + m**3 - 2589*m - 3*m**4 + 6*m**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 5179*b**5\/5 - 493*b**2 - 4574. What is the second derivative of t(q) wrt q?\nAnswer: 62148*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -197, -483, -887, -1415, -2073, -2867, -3803?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1\/(2*-2)). Let i(g) be the second derivative of g**5\/20 - 5*g**4\/12 + g**3 - 5*g**2\/2 + 16*g. Determine i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t*t\/t**(-3)*t))\/t))**(15\/7)*(t\/t**(2\/9))**(2\/17))**1 assuming t is positive.\nAnswer: t**(13868\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2\/(f\/(f**0\/f*f)) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309947?\nAnswer: 11, 19, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2120751 divided by 3\nAnswer: -706917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 101 = -3*z. Is z <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 27.3, 0.26, -5, -60?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/61, -1\/9, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147922 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwppwppplwp. Give prob of picking 2 w, 1 p, and 1 l.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9338118 or -9338119?\nAnswer: -9338119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 258330*c - 1033240.\nAnswer: -5*(c + 4)*(c + 51662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -1, 1870, -4, -5 in descending order.\nAnswer: 1870, 2, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35478116 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 71*v**2 + 198*v + 55. What is g(68)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*d + ((0 + 0 + 1)*(0 + 3 - 4) + 1 + 1 - 4 - 18 + 1 + 3)*(-2*d + d - d).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*-1)\/(sqrt(180)*-3).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6*d - 3*d - 691902 = 0, 3*k - 691867 = 2*d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4450396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4037*x = 4034*x + 4*r - 37, 0 = 3*x + 3*r - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 8*j + 5. Let b be h(4). Let l be 18\/(-30)*(-5 - 0). Suppose -4*r + 316 = -2*u - l*u, 5*u - 395 = -b*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21386309 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1936 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**4 + f**2 - f. Let i(g) = 3*g**4 - 2*g**2. Let d(t) = -i(t) - 2*k(t). What is the second derivative of d(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2059*m**2 - 4124*m**2 + 2066*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.5, -2897, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/5)\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852 is divided by 193?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s. Let y(u) = -72*u - 6191. Let p be y(-86). Put 2, p, s, 3 in ascending order.\nAnswer: s, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6025 + 6228. Suppose 3*h = 112 - 25. What is the highest common factor of h and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Suppose 1 = 5*l - p. Sort 3, l, 0.\nAnswer: 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Suppose -12*h - 6 = -15*h. Let k be 8*h*(70\/(-4))\/(-7). Let i(z) = k*z**2 - 82*z**2 + 41*z**2. Determine w(i(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/9, 1.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 - (7 + -4 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-3)*4\/14. Suppose 9239832 = i*q + q. Suppose 2*y + q = -4720056. Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + ((-33)\/10)\/11. What is the nearest to m in -9, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 - 31*k**3 + 106*k**2 + 124*k - 408 = 0 for k.\nAnswer: -34, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/((-1)\/(-20)). Let k = 17 + -53. Let c be 572\/18 - j\/k. What is the greatest common factor of c and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777539?\nAnswer: 2777539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24336?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1570 + 1584. What is the remainder when 26 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**2 + 235*a - 87 = 0. Calculate a.\nAnswer: 3\/8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868437559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*z - 596 - 1180 = 0, 4*k - 5*z - 3549 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 - 18 - (-2 - 4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d - 6 = 57*d. Find the third derivative of -2*y**3 - 2*y**2 + 10*y**d + 5*y + 115*y**5 - 8*y**3 wrt y.\nAnswer: 6900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7596.6 to the nearest 10.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 1. Let k(q) = -5*q. Give 2*k(c) - 3*o(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/13 + 6*u**3\/13 - 64*u**2\/13 + 120*u\/13 - 64\/13 = 0?\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14583\/46 + 317. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -19*m**3 + 324*m**2 - 69*m + 1432. Determine h(17).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/880 < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 31144*c - 342590. Give u(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 - (0 + -1 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13ad - -5?\nAnswer: 13b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -7*m**2\/2 + 2*m + 29. Let h be r(0). Suppose z - 10 = h. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.028, 1\/10, 1, 5 in ascending order.\nAnswer: -3, 0.028, 1\/10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 27593.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 28 = -18*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r. Let k be 0 - -11 - 3\/1. Let c(w) = -2*w**2 - 3*w - 3. Let v(j) = 5*j**2 + 8*j + 8. Let p(n) = k*c(n) + 3*v(n). Give p(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/11))\/(w\/((w\/w**(-1\/4))\/w))*((w\/(w*w*w**2))\/w)**(1\/70))**(8\/19) assuming w is positive.\nAnswer: w**(34\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**1))**(-7\/6)*(r**(-1))**8)**(6\/19) assuming r is positive.\nAnswer: r**(-55\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.877965118 + -2.878. What is f rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = 0. Let f = 6 - y. Let i = f - 6. Solve -5*j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24797808 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10504325 + 2?\nAnswer: 10504330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19206, -19186, -19186, -19206?\nAnswer: -19246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 912347977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87009836, -348039357, -783088560, -1392157445, -2175246012, -3132354261?\n\"Answer: -87009841*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/(-636))\/(5\/(-2))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3600\/377881 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -44 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 7)*(0 + 1 + 1)*(-2*h - 12*h + h)*(-8*h - 8*h + 22*h - h + 4*h - 5*h + (-3 - 2*h + 3)*(4 - 3 + 1) + h - 2 + 2 - h + 6*h - 3*h).\nAnswer: 1014*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 - w**5\/12 - w**4\/6 - w**3\/2 - 4*w**2. Let x be i(-4). Let s = -9 - -5. Sort 1, x, s.\nAnswer: s, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s + 9. Determine u(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7615581*w**2 - 8387586.\nAnswer: 15231162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 5*a. Let z(j) = j. Let v(m) = -l(m) - 5*z(m). Let s(p) be the second derivative of -2*p**3 + 23*p - 2. What is v(s(d))?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 + 171. Is 7 a factor of m\/(-10) + (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let w(d) = -d + 23. Let p(n) = -3*g(n) - w(n). Give p(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -9. What is the units digit of ((-10)\/b - 2)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 90) + -1 + 2 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 32 = k. Let i = -4 - k. Let a be (-1 - 2) + 2*i. What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-183)\/122*14\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 110 = 4*w. What is the common denominator of 2\/5 and (-3)\/(21\/w) - 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -105*j + 74. Let k be u(4). Let h = -7268\/21 - k. Which is the second smallest value? (a) -0.2 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 1822 = 1792 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 56 - 12. Let b(k) = -4*k**2 + k**2 + 25*k**2. Let v be b(1). Calculate the highest common factor of j and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)\/(4\/266). Let z be 2 - 1 - (2 + v). Suppose -3*f = 5*c - 8*f - 250, 3*c + 3*f - z = 0. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 - 25 = 0. Let c = k + -9. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 - 7*l + 3. Let t(x) = -x**2 + 2*x. Let f be t(4). Calculate i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -411?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpp. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 3, -4, 201552?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 2. Let u(i) be the third derivative of -i**4\/8 - i**3\/3 + 160*i**2. Calculate -5*c(h) + 4*u(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - 2*j**2 - 1\/120*j**6 + 1\/24*j**4 + 5\/6*j**3 + 0*j - 1\/15*j**5. What is the units digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 + h**3\/6 + 11*h**2\/2 + 2*h. What is the remainder when a(0) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5720156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(32))\/sqrt(11).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 31*n**2 - 37*n + 173. Let g be s(32). Suppose g*u - 18*u = -250. Solve i + u = 47 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*z**4 - 1242681*z**3 + 4405869*z**2 - 5080203*z + 1917888 = 0.\nAnswer: -1427, 1, 448\/291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 11, 9, -16, 167, 1 in ascending order.\nAnswer: -16, -8, 0, 1, 9, 11, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397 a factor of 23807498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*y - 471*y + 229*y - 1659*y + 7*y**2 - 4 - 2*y**2.\nAnswer: 5*y**2 - 2736*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 128, 0.5, -3, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nom when three letters picked without replacement from rnamoarnrrmnroo.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let b(h) = 29*h**2 - 17 + 35*h**d + h**3 - 68*h**2. What is the remainder when 46 is divided by b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + g**3 + g**3 + (34 + 71216*g**2 - 1834 - 71217*g**2)*(-2*g + 3*g + g)*(-2 + 3 + 0).\nAnswer: -3*g**3 - 3600*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 2, m: 1}. Give prob of sequence kcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s - 3*v, -s + 7 = s + v. Suppose 0 = -0*y + s*y. Suppose -2*z + 33 + 75 = y. What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*i**3*n**2 + 12*i**2*n**2 + i**2 wrt i?\nAnswer: -1398*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 86072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1043\/6 + -174. Which is the biggest value? (a) -4 (b) -1\/5 (c) r (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*y - 12*y + 5*y) + y - y + 2*y + (4 - 4 + y)*(-4 + 4 + 1) - 4*y + 2*y + 0*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84702, 169378, 254054?\nAnswer: 338730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/60 - f**4\/24 - 5*f**3\/3 - f**2 + 36*f. Let g(p) be the first derivative of x(p). Does 23 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13203049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -104.8147?\nAnswer: 4.192588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.45 and 10348621597387.\nAnswer: 10348621597386.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1858*f**2 - 2*f + 2620?\nAnswer: 3716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 + 8*r**2 + 38*r**2.\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335 + 50*j + 335 - 2 + 2 + 3*j + (0 + 1 + 0)*(2*j + 3*j - 4*j) - j + j + 2*j)*(-3*j**2 + 6*j - 6*j).\nAnswer: -168*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, 32, -86, -7.\nAnswer: -86, -22, -7, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 828 = -4*v, -v + 3*l + 422 = v. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:56 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20*j**2. Let h be d(-1). Suppose -7*p = -12*p - h. Let b be ((-3)\/(-27))\/((p + 1)\/(-18)). Sort b, -0.8, 4\/3, -3 in decreasing order.\nAnswer: 4\/3, b, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896858 is divided by 920?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860546.\nAnswer: 2, 3, 310091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 49*b**2 + 27*b + 36. Give r(-25).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107653, -107654, -107655, -107656, -107657, -107658?\nAnswer: -107659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = r + 222, -268*y + 238 = -r - 272*y. Which is smaller: -0.053 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.1 - -20.16. What is the nearest to 1 in y, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:12 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495819 and 100278?\nAnswer: 8924742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.999999939 + -42. Round c to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m + 1. Let b be a(-1). Let j = b - 0. Let o = -1 - j. Solve o = 3*l - 4 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r. Suppose p = 2*w + 19, 5*w = 10*w - 2*p + 45. Let l be w + (-3)\/(-3) + 8. Solve b - 3*j - 2*j + 12 = 0, -l*b + 2*j = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = -h - 0, 2*h = 4*a - 10. Suppose -v - 2 = 2*g + 3*g, -4*v + 2*g + 14 = a. Put 2, v, -3 in ascending order.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1188601745 to 4 dps.\nAnswer: -0.1189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 90*t = 389373. Which is smaller: t or 3638?\nAnswer: 3638","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0. Let h = 0.06 - -1.94. Let i = 4 - h. Which is the biggest value? (a) 1 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaittqqqaf. What is prob of picking 2 q and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/152490 and -75\/22?\nAnswer: 1677390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/26*-1)\/(84\/156*-13)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.000058 + 15. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14809*h**5 + 4*h**2 - 881*h wrt h.\nAnswer: -888540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -91. Let a(q) = q + 34*q**2 - f*q + 11*q - 15 + q. What is the units digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -44*b**2 - 359*b - 53. What is h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n - 2 = 104*n. Put -26, 0, n, 1 in descending order.\nAnswer: 1, 0, n, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1289, 4751, 21139, 53047, 105647, 184111?\nAnswer: 293611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -319 divided by -11\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6164079 + 4*a + a**3 - 6164079.\nAnswer: a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22022210 (base 3) to base 9.\nAnswer: -8283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 + f - 3. Let l be (4 - 1)*(-5)\/(-3). Let w be d(l). What is the third derivative of 9*t**3 - 9*t**3 + 2*t**4 - 2*t**w wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61523 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*w**3 + 109 + 25*w**3 - 66*w**3 wrt w.\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - 12)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k + 7. Let p(h) = -h**2 + 3*h + 8. Let m be p(k). Let d be (-16)\/14*(-5)\/m. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -97704692.\nAnswer: -97704695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 16*y = 6*y + 5*t + 42, -6*t = -8*t - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 16 = 0, 7*h = -5*m + 2*h - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k - 17*k + 7774822. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101037953 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -239?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*(-3 + -3). Let f = -5 + b. Suppose 2*n - 129 = p, -n = -f*n + 3*p + 123. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 402 and 58.\nAnswer: 11658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 310*q - 3348. Let r(f) = 2*f - 18. Let s(x) = n(x) - 186*r(x). Let i(d) = -31 - d**2 + 31 + 3*d**2. What is i(s(o))?\nAnswer: 7688*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 78*g. Let l(w) = w**2 + 66*w - 1. Let x(d) = -6*l(d) - 5*s(d). Determine x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 7. Let d = 14 - 7. Let q be h(d). Let f = -955 + 955.5. What is the nearest to q in 3\/7, 1\/8, f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2345742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 5. Let b be 8\/(-2) + -15 + 13. Let l(f) = -f**3 - 5*f**2 + 6*f + 5. Let z be l(b). Let w(d) = 6*d + 6. Determine z*r(o) + 4*w(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0*h)\/((h\/(h\/h**0)*h)\/h)*h*h**(-4)*h*h**(-1\/6) assuming h is positive.\nAnswer: h**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 7*v**3 - v**3 + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 237 = -129 - 131 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 298*w + 352. What is h(61)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.4 (c) -2385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 12\/(-18)*69. Let k = -29 + y. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 6086069?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27 - ((-40)\/(-1))\/5. What is the highest common factor of w and 2071?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3853920 and 1536?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79638398 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let s = -7 - -5. Sort -1, s, g in decreasing order.\nAnswer: -1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 982, -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3668548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28886*h**4 + 40381*h**2?\nAnswer: -693264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 173*u + 76. Give z(56).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0358969 rounded to three decimal places?\nAnswer: 3.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 121922?\nAnswer: 121922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12cdc8 + -11d?\nAnswer: -12cee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + -7. Let t = 42 + b. Let w = -12 + t. Calculate the lowest common multiple of w and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28897\/38476 - -10\/9619. What is the nearest to -0.1 in c, 143, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.066? (a) 1 (b) 2\/103 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/80 - 20995\/(-50). Let q = i - 232. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -235*u - 16*u + 11*u + 26668 for u.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003959221635 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 956473621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*r - 440 + 440)*(4 - 2 - 3)*(-5*r**4 + 5*r**4 + r**4).\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - (sqrt(49)*1 - sqrt(49))\/sqrt(7))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2144452182 to the nearest 100000.\nAnswer: -2144500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 9. Let k = -95.5 - -96. Which is the closest to 1? (a) k (b) j (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 105*t**2 + 50*t**2 - 1 + t + 52*t**2 as g*t**2 + b*t + r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.019, 585903, -1\/6 in increasing order.\nAnswer: -1\/6, 0.019, 585903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {k: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 722*t - 242*t - 18095 = 0 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - -2.5. Let h = 0.141 - 0.041. What is the second smallest value in -1, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/14*8\/4*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62 * 3.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/27*(-4)\/(16\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2951, 5904, 8829, 11720, 14571, 17376, 20129, 22824?\nAnswer: 25455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 3. Let d = 7 + -2. Let s(n) = 6*n**2 - 3. Let m(c) = d*y(c) + 6*s(c). Find the first derivative of m(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51568093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -1100, -1841, -2582, -3323?\nAnswer: -4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 5*k = -1, -k - 2 - 9 = -6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2.6, 2782, 0.3, 0.4 in decreasing order.\nAnswer: 2782, 27, 2.6, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/22*-160 - (-15035 - -15050)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 22. Suppose 0 = -0*y + y - 7. Let c(s) = -s**2 + 7*s + 11. Let f be c(y). Calculate the greatest common divisor of f and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 0*f + 2*f - 2*f**4 - 4*f**3 - 2*f**4 + 4*f**3 + (-f + 2 - 2)*(0*f + f**3 + 0*f) + 10*f - 10*f - 9*f**4.\nAnswer: -14*f**4 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2957, -3130, -3267, -3362, -3409, -3402?\n\"Answer: c**3 + 12*c**2 - 216*c - 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 22*a**2 - 68*a - 35. Does 8 divide c(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/8 + 5*m**3\/6 - m**2. Let t be i(4). Let w = t + -7. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177 + -40 + 37 + 119\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.5 less than -0.31234049?\nAnswer: -46.81234049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4524623*c - 2*c**2 + 4524623*c + 2220 to k*c + h*c**2 + m and give m.\nAnswer: 2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 10) to base 14.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 53, 843 in descending order.\nAnswer: 843, 53, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*o*p*y**3 - 5*o*p + 2*o*y**3 - 9*o*y**2 + 449771*y**3 + 14*y - 1629 wrt y.\nAnswer: 42*o*p + 12*o + 2698626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(339\/(-2260))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) 10 (b) 48\/11 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/33 + -1\/33. Let y = -582 + 396. Let v = y + 185. Which is the biggest value? (a) q (b) 1\/2 (c) v (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 523891*h. Let w(u) = -u + 20. Calculate q(w(l)).\nAnswer: -523891*l + 10477820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 36. Suppose h - 2*q = -0*h + 3, -5*h - 3*q + u = 0. Calculate the remainder when -1*(2 + -19 + -2) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 + 3*l + 5. Determine v(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.08. Let j = 0.08 - l. Which is the nearest to j? (a) 4 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2247 and 1680?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 7*l + 7 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 376*q\/7 + 54.\nAnswer: -2*(q - 189)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378234?\nAnswer: 2, 11, 13, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 11100302322?\nAnswer: -11100303020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 38)\/(5\/(-29)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2325.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 12*s**3 - 4*s**3 - 12239*s - 3 - 5*s**3 - s**3.\nAnswer: 2*s**3 + 9*s**2 - 12239*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*i + 88, 5*a - 4*i + 67 = 269. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 7 = -33*f + 31*f, 0 = 3*f + 2*v + 42 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111255 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 690?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064, 1529, 2304, 3389, 4784, 6489, 8504?\nAnswer: 10829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1243695*a**3*l - 2*a**3 + 1556*a wrt l?\nAnswer: -1243695*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/70 - 66\/(-14). Suppose w*g - 4*j + 15 = 0, 0 = -3*g + j + 2 - 4. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1650 and 5115?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(2\/(-21764)*4).\nAnswer: 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 11241800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 0*l - l)*(13*l + 10*l - 35*l)*(4 + 7 - 3) in the form m*l + h + j*l**2 and give j.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 10. Let f be s(5). Let i be (2\/(-2) - f) + 1. Solve i = 3*w + 5 + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480536 and 60648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 101295\nAnswer: -22\/101295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*((sqrt(605) + 0 + sqrt(605))*-4 + -5 + 0 + (sqrt(605) - 3*sqrt(605)*-4)))**2.\nAnswer: -727200 + 26400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b*b*b*b*b\/(b*b**(2\/5)))\/((b**(4\/5)*b)\/b**(1\/11)) assuming b is positive.\nAnswer: b**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*w - 86. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(2) + ((sqrt(2) - 2*sqrt(2)) + -3 + sqrt(2))**2)*2.\nAnswer: 2*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-54)*(24\/(-105))\/((-668)\/3507)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18520000 to the nearest 100000.\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 3\/5*n**5 + 0*n**3 + 0*n**4 + 4*n + 0*n**2 + 2. Find the first derivative of t(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546120557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/264 and -99\/8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*t + 2, 5*t - 3*b + 5*b = -4. Let k(v) = -v**2 + 5*v - 1. Let a(c) = c**2 - 6*c + 5. Let w be a(6). Let f be k(w). Sort 2, t, f.\nAnswer: t, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6045 + 0.4045. Which is the third smallest value? (a) -1.4 (b) -4 (c) -3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/((-1)\/(-12)))\/(30\/(-40)). Let v be (2 + -4)\/(6\/(-9)). Let z be (1 - 5) + v + 18. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*p - 18861 = -804*p - 2286 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 31 + j**3 + 1824*j**2 + 4224*j**2 as l*j + c*j**3 + x + n*j**2 and give n.\nAnswer: 6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(2\/3)*c**(-6)*c*(c**0)**(-12\/5) assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/123, -5, -2\/13 in descending order.\nAnswer: 2\/123, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6038691.3 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -1 + 11. Suppose 2*l = 4*l - g*f + 80, -3*f - 48 = 2*l. Let j = 43 + l. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-256590)\/(-630))\/(1\/14) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3)*1)**2 + sqrt(931) + sqrt(931) + 1)*4.\nAnswer: 80 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/15*(-12)\/(-8) + (-21)\/35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25039, 217 in ascending order.\nAnswer: -3, 217, 25039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 10*b + 10. Let i = b - -47. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 3*b + 4. Let s be p(4). Let y = 8 + s. What is the units digit of 4\/y*(13 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (183\/18)\/(7\/14)*51?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37809 = 1638*j + 13239 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + n + 962 - 4390 = 0, -24 = -4*n. What are the prime factors of w?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h**5 + 326*h**4 - 2234*h**3 + 3986*h**2 - 2504*h + 440 = 0 for h.\nAnswer: 2\/7, 1, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/8)*n)\/n**(2\/57))\/(n**(-4\/19))**(11\/4) assuming n is positive.\nAnswer: n**(989\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Let j = -13 + r. Let z = j - -16. Put -1, z, -3 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6615 + -6613. Solve -63*b + 67*b + 8 = -4*o, -3*b - 9 = u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 157\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1063*w**4 + 46*w**2 - 3*w - 24. Let s(l) = -2126*l**4 + 86*l**2 - 5*l - 50. Let k(d) = 5*h(d) - 3*s(d). Find the third derivative of k(z) wrt z.\nAnswer: 25512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7 + 3*n**3 + 489*n + 502*n - 9*n**2 - 2*n**3 - 971*n. Give b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -3, -15, -27, -39, -51?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let g = 17 - 8. Let l(b) = g*b**u - 4*b**2 - b + b. Let a(i) = -2*i. Give l(a(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2215 + 2240. What is the highest common divisor of 40 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -428*g - 1586. Let j be z(-4). Calculate the greatest common factor of 280 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117112\/5 - 23422. Which is the closest to -2\/25? (a) 1\/2 (b) -6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -11, 6, 0, 4 in increasing order.\nAnswer: -11, 0, 1\/3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -322486020, -322486019, -322486018, -322486017?\n\"Answer: r - 322486021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.6. Let v = 0 - 0. What is the biggest value in l, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-4) - (-102)\/24. Suppose -3*i - 460 = -l*m, -105 = -0*m - m - 2*i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 8*x**2 + 10*x - 4. Let o(d) = d**3 + 4*d**2 - 8*d - 6. Let w be o(-5). Is p(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -1 - -2)*1. Let j be 5\/((-280)\/16)*-7. Sort 4, j, 1, y in decreasing order.\nAnswer: 4, j, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from gaeaegggaezggaaagg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 4\/(16\/12). Let i(m) = -7*m - 24. Let n be i(o). What is the highest common factor of n and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/25)\/(h*h*h*h\/h**(-5)*h))\/(h**1)**21)**(4\/9) assuming h is positive.\nAnswer: h**(-1036\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -0.3, -8.565, 0.2 in decreasing order.\nAnswer: 0.2, -0.3, -8.565, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 6 = -2*s. Which is greater: -7\/3 or s?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/8*(4\/((-16)\/(-1)))\/(66\/396).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567761.\nAnswer: 3, 13, 61, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-42)*-2*(2 - 20\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from sbsvvpwx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-70)\/(-12))\/(-5) - (-78)\/468. Which is smaller: -1\/12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105872903 rounded to the nearest one million?\nAnswer: 1106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -576058*k - 20. Let x be s(11). Let p = 10651327 + x. Suppose -d - p + 114669 = 0. What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 26*p**2 + 785*p + 2 - 785*p. Let j(n) = -25*n**2 - 1. Let o(l) = -3*j(l) - 2*q(l). What is the tens digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4bc (base 15) to base 16\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecme when four letters picked without replacement from {c: 6, m: 4, e: 7}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*c - 849 + 848 = 0, -2*c - 32 = -4*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 9*a + 1. Let p(d) = -11*d + 1 - 2*d**2 + 4*d + d + d. Suppose -3 = -v - 6. Give v*f(o) + 5*p(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347367367?\nAnswer: 19, 23, 61, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w + 3. Let v be a(-3). Let b = v + 54. What is the remainder when b is divided by 94\/8 + (-3)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 1 + 81*t**4 + 0*t - 79*t**4 + 3*t**3 to c*t**3 + h*t**2 + m + f*t**4 + o*t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 535410?\nAnswer: 2677050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13166 + -7444. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -411 + 342. Which is bigger: w or -71?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 - 2102*l - 19411. Calculate u(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 5. Let d(z) = z**3 + z**2 + 1. Let j(b) = 6*d(b) + 3*k(b). What is the first derivative of j(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6466*v - 6883038 = -6484*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (8 - -22) + -14 - -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85980 + 24380. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*u + 21 = 4*k, 5*u + 5 = 0. Let g(s) = -2*s + 4*s - 3*s - 29 + 5*s - 2*s. Let r be g(k). Is -13 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - (-10 + 4)) + 2 - (936 - 1036).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-6 + -4 - -25) - -28?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50877, -101774, -152671, -203568, -254465, -305362?\n\"Answer: -50897*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.130936 + -0.069064. Let l = -1 + -6. Which is the closest to 0.1? (a) 5 (b) i (c) 3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/((-14)\/77).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -10560058125.\nAnswer: -10560058128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 98057.19 weeks?\nAnswer: 16473607.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*f - 11, -3*m - 8 = -m + 4*f. Factor 0 - 1\/5*p**3 - 1\/5*p**m + 0*p.\nAnswer: -p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*q + 5*h, -2*h = 3*q - h + 15. Sort -0.4, q, 0.2.\nAnswer: q, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3564 - -4357. What is the remainder when l is divided by 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*t**3 - 125207877*l*t**2 + 152*l*t + 2*t**3 - 837914*t wrt t?\nAnswer: 6*l*t - 250415754*l + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - q + 4404 = 0, -3*q + 4658 = 3*k + 260. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 6*j + 8. Let b be m(-7). Let l = b - -67. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35633 (base 8) to base 16\nAnswer: -3b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267073 is divided by 433.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 6 = 11*m. Sort m, -3, 7, 1.\nAnswer: -3, 1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggsxxsgpcbbg. What is prob of sequence sbs?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 133 + 8?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 3}. Give prob of sequence vn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 68*u**2 - 3*u + 57. Let s be j(13). Suppose 0 = -3*l + 17923 + s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 507436*i\/5 + 304458\/5.\nAnswer: 2*(i - 50743)*(5*i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 5*u - 40, 3*u = 4*u + 17 + 4 - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -462, -685, -908, -1131?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -24 (b) 96.3 (c) -41\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f**5\/4 - 6875293*f**4\/4 - 844095313767*f**3\/2 + 1386745098525*f**2 - 361759975254*f = 0.\nAnswer: -491094, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1218580, -2437204, -3655828, -4874452?\n\"Answer: -1218624*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.989268 and -56.\nAnswer: -55.399008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + -0.1. Let u = 9.4 + -9.9. Let d = 4 - 3.6. What is the closest to t in d, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = 2*s + 4*s + 10*s. What is the fifth biggest value in -3\/2, -7, 4, s, -8\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 332458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15) + (-35)\/(-25))\/(-1). Put 4, v, -3, 5 in descending order.\nAnswer: 5, 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-11)*44649\/(-12177).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 + 9*j + 3. Let x be 36\/15 - 4\/10. Let t be (-6)\/((-1)\/(x + -3)). Let r be p(t). What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 185*q - 189. Give x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-4 + 0)) + 4. Let y be 9\/x + 85\/(-50). Put 2\/11, y, 5 in decreasing order.\nAnswer: 5, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, n: 4, h: 3, p: 2, u: 2}. Give prob of picking 1 n and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343030246?\nAnswer: 2, 13, 13193471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004178 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1188)\/sqrt(3) - 2*sqrt(11)*-3.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 380 - (5 + -3). Let u = -258 + c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3441 = -2*x + 2*i + 4659, -3*i = 2*x - 8095. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -45, 2, 0 in descending order.\nAnswer: 2, 0, -11, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 32. Suppose m*b - 3*b + 3*g = 38, -124 = -3*b + g. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283 (base 15) to base 10.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5050 and 81890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171802 and 4238?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 5*d**2 - 2*d**2)*(-1714 + 2639 + 561 + 2467).\nAnswer: -3953*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and 565.4?\nAnswer: 15831.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 - (5 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2340003 (base 6) to base 8\nAnswer: 355743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/840 - d**6\/120 - 19*d**4\/24 - 30*d**2. Let r(s) be the second derivative of u(s). Solve r(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Which is the smallest value? (a) -2 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2 - d + 1. Let m(p) = p**3 - 8*p**2 - p - 2. Let h(k) = -m(k) + 2*v(k). Calculate the least common multiple of h(-6) and 136\/10 + 4\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 7.7, -0.3?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10 and -125\/241116.\nAnswer: 1205580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1827527 and 1.\nAnswer: 1827528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let h(g) = -4*g - 2069*g**2 + 4*g - 2137*g**2. Calculate a(h(o)).\nAnswer: 4206*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 1997*y + 44947. Give n(23).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341 = 284*l - 1544 - 239 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -924949 and 15.1.\nAnswer: -13966729.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0764 + 0.648. Let v = -0.41 - u. What is v rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/27970246 and 13\/2786?\nAnswer: 195791722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 4*h**2 - 2*h**2 + (0*h - 4*h + 6*h)*(4*h - h - h) + 8*h - h**2 - 7*h + 2 + 0*h**2 + 2*h**2 + 0*h**2 - h**2 + (-h + 0*h - h)*(3*h - 2*h + h).\nAnswer: 3*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - t)*(1 - 1 - 4*t)*(-4*t**3 - 5*t**3 - 4*t**3).\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*c**5 - 3*c**3 + c**2 + 97*c.\nAnswer: 480*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Let n = -27\/130 + -5\/26. What is the third biggest value in f, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20861 - 3\nAnswer: -20864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/72 + o**4\/24 + 2*o**2. Let a(h) be the second derivative of q(h). Let c(u) = 2*u**2. Calculate a(c(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/19 - 4908564*c\/19 - 196339360\/19 = 0. What is c?\nAnswer: -2454242, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**4 + 575*b**3 + 4890*b**2 + 12800*b + 8480 = 0.\nAnswer: -106, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/(55\/4))\/(1\/155)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29025, -30824, -32623?\nAnswer: -34422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3926611.\nAnswer: 13, 41, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let p be j(-11). Solve -g - g = -2*i - p, -i = -3*g + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 times -57?\nAnswer: -8778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.541 - -272.459. Let n = b + -405. Let y = 131.9995 + n. Round y to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2872*s**2 - 2*s - 14391?\nAnswer: -5744*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-18)*t\/(t\/(t\/t**0))*t*t**(-1\/21)*t*t**10 assuming t is positive.\nAnswer: t**(671\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - h = -105, 105 = 2*d + 3*d + 4*h. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94157 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 29322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.44222m to micrometers.\nAnswer: 81442220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -18. Solve 5*f + 13 = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 130 = -50. Suppose -17*d = 53 - b. Let c(i) = i**2 - i - 1. Let t(a) = 2*a**2 - 5*a - 5. Give d*t(o) + 4*c(o).\nAnswer: 2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (290\/(-290))\/(1\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/39)\/(980\/(-3640)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2249 + 13*l - 2204 - 4*l. Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maht when four letters picked without replacement from {t: 2, z: 4, a: 1, h: 2, m: 1}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 28250?\nAnswer: -28235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -25631*n + n**2 + 3*n**4 - n**3 - 2*n**2 + 25628*n + 2*n**4 + 7*n**2 as w*n**3 + m + z*n**2 + p*n + r*n**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15683 + -15701. Let k = 1 - 0.6. Let t = -2\/17 + -20\/119. What is the nearest to t in 0.5, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 19. Let i = -6 - f. Let c = -3.6 - -4. What is the smallest value in 1\/6, i, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6400*p**3 + 19520*p**2 + 964*p + 12 = 0 for p.\nAnswer: -3, -1\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from aaajjajjwaa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 - 5*p**3 - p + p - p**3 + (p**2 + p - p)*(2*p - 4*p + 0*p) + (2 - 2 + 2*p)*(p**2 - 4*p**2 + 5*p**2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25776*w**3 + w**2 + 563784*w?\nAnswer: 154656*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 147211b (base 13) to base 16\nAnswer: 636f0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v\/((v**(1\/3)*v)\/v)))\/v)\/v**(3\/19)*v*v*v\/(v*((v*v\/v**(-12))\/v)\/v)*v*v**19 assuming v is positive.\nAnswer: v**(580\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 6 - 17) + (1 - (-1 - -1)) + 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -858 at least -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 0. Let s = v - -4. Let m = 1 + 0. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - y + 8, -7*t = -8*t - y + 2. Find the first derivative of -715*l**t + 42 + 267*l**3 + 262*l**3 wrt l.\nAnswer: -558*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -197 - 27. Let z(t) = -31 - b*t + 17 + 16. Let f(w) = -w. Determine f(z(y)).\nAnswer: 16*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 223*z - 114*z - 6 = -336*z, -3*z - 42 = 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243 (base 9) to base 2.\nAnswer: -1110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 31, 4\/9, 3\/4, -5, -0.1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2325\/34 (c) 1\/4 (d) 0.1 (e) 2545\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j - 25*j + 0*j**2 + j**2 + 66. Does 20 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -21*m + 11. Let q be -4*2*1\/(-3)*-3. Let l be (((-20)\/q)\/(-5))\/(2\/(-52)). Let x(k) = 10*k - 5. What is l*x(o) + 6*t(o)?\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2250 and 200.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -474, -485, -500, -519, -542, -569?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 17*r**2 - 25*r - 93. What is d(-17)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -2, -3, 1151?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1666398089 to the nearest integer?\nAnswer: 40822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:59 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 102*j - 79*j - 73, -2*j = -3*w + j - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 221.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27623899 greater than -27623897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - l**3 + 4*l**2 - 4*l. Let t = 760 + -767. Calculate b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/14 - (-381806)\/2443. What is the greatest common factor of 7018 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529408783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfzh when four letters picked without replacement from {c: 2, f: 1, s: 1, z: 1, h: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(27)*-4 + (1*sqrt(216) + sqrt(216) + sqrt(216))\/sqrt(8))\/(sqrt(252)\/(-2*sqrt(1008))).\nAnswer: 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19722704 and 4512.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:32 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**2 + 88\/7*g - 90\/7.\nAnswer: 2*(g - 1)*(g + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17940 and 1581480.\nAnswer: 20559240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(115\/552*-8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v - 1. Let y = -490 - -494. Let u(j) = 6*j**3 + 9*j - 9. Calculate y*u(x) - 36*b(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuuultyyyr. What is prob of picking 1 r and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let u = 35 - 35. Suppose u*x - 3*v = -x - 1, -2*v + 14 = 2*x. Calculate the highest common divisor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7974 a factor of 1598462149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m**2 + 223*m - 3. Let i(k) = -k**2 - 9*k - 8. Calculate the remainder when h(7) is divided by i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8 + -85a?\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.23 + -67.1. Let g = -22.13 - -22. Let u = l + g. Which is the third biggest value? (a) u (b) -5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-3)*(0 - 1). Let k(h) = -h - 2. Let u be k(-7). Suppose s = -2*f + u*f. Which is the closest to -0.1? (a) 0.1 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/8)\/(185\/296). Determine f, given that w*f**3 + 42\/5*f - 21\/5*f**2 - 24\/5 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -23*s + 31. Sort 0, s, 14, 1.\nAnswer: 0, 1, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -62. What is the derivative of 30*o**2 + 3 - z*o**2 - 27 + 5*o**2 wrt o?\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.073, -1.2, -2\/7?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -53, -108, -163, -218?\n\"Answer: -55*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) -45 (b) -0.5 (c) 615\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let u = 0.4113 + -0.1113. Which is the closest to 0.3? (a) j (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 - 326. Factor o - u - 3\/4*u**2 + u**3 - 1\/4*u**4.\nAnswer: -(u - 2)**2*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3 + 18, 5*i + 3109 = 4*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.95 take away 202153?\nAnswer: -202120.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.39 and 0.051?\nAnswer: -0.42789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - t - 2. Let j = 2 - 2. Let w be o(j). Calculate the remainder when -4 + 2 - w*17 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11118 divided by 3\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 2*u + 105 = 4*y + 19, 0 = -w*u - y - 122. What is the tens digit of (-1)\/(-2)*2 - u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47932*c - 1680 = 47974*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109784598 - 4?\nAnswer: 109784594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 3. Suppose 2*c = 4*c + l. What is the units digit of (-1*4 - c)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -173840190*c**3 + 155431884 wrt c.\nAnswer: -521520570*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 + 0*h**2 + 3302 - 9913 + 3323 + 3306 as m*h**2 + v + t*h and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 + 2)*(-234 + 115 + 2*f + 112).\nAnswer: -8*f + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -11*k**3 - 17*k**2 + 14*k - 55. Let l(o) = -30*o**3 - 50*o**2 + 41*o - 164. Let n(x) = 4*l(x) - 11*v(x). List the prime factors of n(13).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 4*i**3\/3 + 35*i**2\/2 + 12*i + 873. What is u(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - 49?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**3 - 141*s*z**2 - 1966*z**2 wrt s?\nAnswer: -9*s**2 - 141*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5\/14, -0.1728 in ascending order.\nAnswer: -5\/14, -0.1728, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = y + 420. Let r be (-20)\/y + 10\/(-14). Let a be 1*r\/(-5 - -4). Solve -13 = -4*n - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/9 - 20*q\/3 + 200\/9.\nAnswer: 4*(q - 10)*(q - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(25)\/sqrt(5)*3 - ((sqrt(10)*-3)\/sqrt(2) + sqrt(5))).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:15 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037080 to the power of 1\/2, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -76*l + 955. Determine n(0).\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -107 + 8 + -28 + 0 + 1.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*18\/(-4). Let w be (-5)\/15 - (-2)\/x. Let t = 11\/20 - 4\/5. Is w greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2959\/1989 - -15\/221. Calculate the common denominator of (-3)\/((-2)\/(-9) - 226\/288) and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 20 = 6*o, 2*c + 258 = -9*c + 24*c - 15*c + 34*o for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33478079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*s - 174*s = -292518. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -22*n + 21*n - 1, 4*n - f = 15. Suppose 0 = 3*h - 2*h + n*q + 9, -h + 12 = -3*q. Solve -4 = -h*c - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714866536.\nAnswer: 2, 89358317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2 + l - 3. What is the units digit of v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 20*p - 15. Let i be t(-19). Suppose -3*u + 0*u + 39 = -i*j, -9 = 3*j. Solve -3*g + 0 = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 58 - 32. Let q = -12 - g. Let v(l) = -l - 5. Calculate v(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 16*l**2 - 17*l + 5. Let f be g(17). Suppose -u + 0*u - f*r = -38, -42 = -u - r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26*i - 7. Does 10 divide a(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, 2*v - q - 5 = -1. Suppose f + 22 = v*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 18, 0.1, -25 in decreasing order.\nAnswer: 18, 0.4, 0.3, 0.1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.63 + 64.11. Let y = n - 45. Round y to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/235)\/(3\/15)*-15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 8 + 10 + -1 + -5 - -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - sqrt(450)*1)\/sqrt(9) - (-2 + (2 + sqrt(50) - sqrt(50))) - ((sqrt(200)*-1 + sqrt(200))\/sqrt(4) + sqrt(50) + sqrt(350)\/sqrt(7) + 2))**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 y when four letters picked without replacement from {y: 3, c: 2, r: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 19*r**2 - 17*r + 18. Let k be o(-18). Suppose k = 5*t - 5*p + 4*p - 13, -4*t - 7 = 5*p. Suppose -548 - 296 = -t*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 42*u + 70326. Give c(287).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*y + 24 - 63 = 0, 0 = -y - 3. Suppose o - 2 = 3*v. Let 4*q**2 - q - 2*q**v + 3*q = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by -3?\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1900) - (sqrt(57)\/sqrt(3)*3 - sqrt(19))) + (5*(2 + sqrt(76)))**2.\nAnswer: 208*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let y(r) = 34521*r + 1554. Let u = 68 + -73. Let c(v) = -222*v - 10. Let p(m) = u*y(m) - 777*c(m). What is p(q(t))?\nAnswer: 222*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)\/u**1)\/(u**4\/(u**1*u))*((u\/u**(-4))\/u*(u*u**4)\/u)\/((u*((u*u**(-2\/9))\/u*u)\/u)\/u**(-5)) assuming u is positive.\nAnswer: u**(-85\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 2*s + 0*s)*((3*s + 2*s - 2*s)*(3 + 0 - 2) + 1 - 1 + 5*s) in the form h*s + c*s**2 + w and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 - 4*h**4 + h**4)*(705*h + 128 + 134 - 262).\nAnswer: 1410*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9358*j**3 + 196*j**2 - 4*j + 9 wrt j?\nAnswer: 56148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356736 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 3*(0 + sqrt(931) + sqrt(931)) - sqrt(931) - (sqrt(19) - sqrt(171)\/(sqrt(27)\/sqrt(3)) - (sqrt(171) + -1)))*-2)**2.\nAnswer: -360*sqrt(19) + 153904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/45)\/((-49)\/((-588)\/(-16))). Let s = -3 + 2.8. Which is the fourth smallest value? (a) s (b) 3\/7 (c) h (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6084 * 959.1.\nAnswer: 5835164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 13*n**5\/20 + n**4\/6 + n**3\/3 + 95*n**2\/2 + n - 42. Find the second derivative of l(i) wrt i.\nAnswer: 78*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 s, and 1 f when four letters picked without replacement from {f: 3, s: 1, z: 3, y: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729756.216ms to weeks.\nAnswer: 0.0012066075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 613*n**3 + 166*n**3 - 2046*n**3 + 2*n**2.\nAnswer: -2493*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2*-1 - -4. Suppose -w*c - 2*p = -c - 128, 0 = -c + p + 54. Suppose -2*r = -c + 19. Solve 5*n + 12 = -3*h, -n + h + r = -4*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 2*q**5 + 8*q**5 - 2*q**5 - q**5 + 4*q**5 + (3*q**2 - 2*q**2 + q**2)*(2*q**3 - 2*q**3 - q**3).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**6\/2 + 4*b**5 - 5*b**4\/4 - 25*b**3\/3 - 8*b - 26. Solve q(k) = 0 for k.\nAnswer: -2\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (1*sqrt(1216))**2 - (2 + sqrt(1216)*1)) - 2*((sqrt(475) - (sqrt(475) + (1*sqrt(475) + 4 - sqrt(475)) + sqrt(475))) + -1*(sqrt(475) + 1))**2.\nAnswer: -2638 - 208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 29216*h - 1730706.\nAnswer: 2*(h - 59)*(h + 14667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76733 - -76733.2. Suppose -z = -0*z + 25. Sort z, 5, i in descending order.\nAnswer: 5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -17. Solve -v*p = -0*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by 165.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.3 + -16.8. What is the closest to 2\/9 in 1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:02 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b01470 (base 13) to base 11\nAnswer: -2341845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*m + 3*d, 0 = -4*m - 5*d + d - 8. Let z(w) = 10*w + 6. Is 12 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**8\/336 + h**6\/72 + h**3\/2 - 6*h**2. Let t(b) be the first derivative of m(b). Find the third derivative of t(p) wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*x = 393*x - 924 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(475)*2 + -2 + 5 + 6*(sqrt(475) - (sqrt(475) + sqrt(475) + 0 + -4)))*4)**2.\nAnswer: -19840*sqrt(19) + 136976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 5\/(10\/(-44)). Let d = 25 - y. Let u(p) = -3*p**2 + 6*p + 2. Let a(b) = 1. Let s(k) = d*a(k) - u(k). Factor s(n).\nAnswer: 3*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-6)\/32*2. Let w be ((2\/22)\/((-29)\/(-9454)))\/4. Let n = w - 87\/11. What is the second biggest value in 0.3, -2, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c - 15*c + 9*c)*(-c**2 - 5*c**2 + 3*c**2)*(0 + 5 - 3) + 3 + 3*c**3 - 3.\nAnswer: 141*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/7 + 24*l**2\/7 - 8*l = 0.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 2) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138227\/423 - (1 + 11\/(-9)).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2236 and 28028.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/((-8)\/(88 - 8)). Sort -2, b, -30, -1 in increasing order.\nAnswer: -30, b, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + 32. Let o(d) = -169928*d**2. Calculate r(o(z)).\nAnswer: -679712*z**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1452199859 to the nearest one hundred thousand.\nAnswer: -1452200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 11 (c) 5 (d) -2\/257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87 - 86 - (1 - -2)) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/120)\/((-1)\/(-33)*-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47.4 - 47. Which is the smallest value? (a) 3\/2 (b) -3\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 43 = k, -s + 0*s = 4*k - 36. What is the remainder when 47 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*c + 4*u, 0 = c + 3*c - 2*u - 26. Let s = c - 4. What are the prime factors of s\/7 + (-54)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0.20886787.\nAnswer: 4.79113213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 = 5*a, 2*a - 136*m - 8 = -137*m. Find the third derivative of -11*b - 240*b**a - 86*b**5 + 240*b**4 + 92*b**5 - 4*b**2 wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -137*v**4\/12 - 144*v. Let t(h) = -h. Give t(y(b)).\nAnswer: 137*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a + 63 = -37*a - 52 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -57. Suppose -5*b = 5*b - 800. Calculate the lowest common multiple of f and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1239\/(-84) - -16 - (-687)\/(-12))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + 6*u - 8. Let m be h(-7). List the prime factors of 26\/(-1 + 3) + m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 2531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 15 - 2*a**2 - 2*a + 13. Let b = 6 + -3. Give r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 37*x + 756\/5.\nAnswer: -(x - 189)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*x - 15, -5*x + 7*x - 6 = 4*i. Suppose -15 = -z + 4*k, -5*z + 6*k + x = 10*k. Suppose z*g - 85 = 77. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 5*g + 5, o - 21 = -4*g. Suppose -v + 7 = 2. Let l = v - o. Solve 4*i + 9 - 1 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 1.9. Let a = -9 - u. Let k = 3 + a. What is the biggest value in k, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26039 = -22*x - 6239. What is the greatest common factor of x and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 324113203?\nAnswer: 324113212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-1 + -4 - 0) + (-44 - -54)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*j - 55. Let f = 21 - j. Solve 3*v - 16 = -f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/4 - 1946454*d**2 + 38929023*d\/4 - 23357403\/2 = 0. Calculate d.\nAnswer: 2, 3, 2595267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**7\/105 - 2*z**6\/75 + 4*z**5\/25 + 8*z**4\/15 - 16*z**3\/15 - 32*z**2\/5 + 3*z. Factor n(v).\nAnswer: -2*(v - 2)**2*(v + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97.1 times 19.5\nAnswer: -1893.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 e when three letters picked without replacement from {b: 2, p: 1, c: 6, e: 2, y: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180\/(-54)*21*3051\/(-6).\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 7*y**2 + 13*y - 16. Let q be s(3). What is the greatest common factor of q and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 3*u**2 - 7\/20*u**5 + 2\/3*u**3 - 5*u + 0 - 1\/4*u**4. Does 26 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -6) + 37 + -25 + -20?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686313 is divided by 228744?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26120248, -26120246, -26120244, -26120242, -26120240, -26120238?\n\"Answer: 2*n - 26120250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9748.\nAnswer: 2, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*l**4 - 21 + 69601*l - 4*l**3 - 69602*l + 5*l**3 to the form c + s*l**4 + m*l**2 + d*l + f*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.091 (c) -0.0114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) -53 (b) 27105 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46, 0.3, 2\/15, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -88300 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469516581.\nAnswer: 3, 19, 101693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = -105. Suppose -8*d + 7*d = 80. Let j = d - -87. Calculate the highest common factor of j and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2 + 3921030*m + 768723813045 = 0.\nAnswer: -392103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 8. Let k(f) be the second derivative of -f**3\/6 + 3*f**2\/2 + 902*f. Calculate -10*k(p) + 3*t(p).\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11819 - 11825. What is the nearest to -1 in -1, 3, u, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 23*k**2 - 48*k - 47. What is o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733 (base 13) in base 7?\nAnswer: 31534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10 + (-1 - (-82)\/20))\/((-10920)\/16380)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 0 (c) 1 (d) 400.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58904, 235651, 530230, 942641?\n\"Answer: 58916*y**2 - y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let t(n) = -81104*n**2. Determine y(t(u)).\nAnswer: -162208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11125 divided by 5?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from lulluu.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (408*s**2 - 58*s**3 - 408*s**2)*(-1 + 1 + 2*s) + 0*s**3 + 0*s**3 - s**4.\nAnswer: -117*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233082 (base 9) in base 14?\nAnswer: -1369d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110)\/sqrt(5))\/sqrt(2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 426\/(-1008)*2*75\/(-275) and -85\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14317 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*t + 15, -3*c + 12 = -4*t + 2*t. Let x = 12 - c. Solve 2*l + 12 = x*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130031323003 (base 4) to base 14\nAnswer: da7a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.78 + 89.78. Let k = g + -297. Let b = k - -205.97. Round b to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 5246*s\/7 - 12064.\nAnswer: 2*(s - 16)*(s + 2639)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 332466732.2 rounded to the nearest one million?\nAnswer: 332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -40?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**5 + i**4\/2 - 42*i - 146. What is the first derivative of u(v) wrt v?\nAnswer: -20*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 4590 (b) -3\/4 (c) -0.5 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from thpthhth?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 + -124. Suppose 0 = 5*w + u, 3*f + 7*w = 6*w + 443. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240305 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -5*(4*sqrt(171) - sqrt(171)))\/sqrt(9).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*i*n**2 + 16*c**2*i*s - 695*c**2*n**2*s - 2*c**2*n - i*n*s + i - 1 wrt n.\nAnswer: -6*c**2*i - 1390*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)\/(3\/(15\/5)). Suppose 5*r - a + 18 = q, 0 = a - 3*a + 6. Let n be r + -6*6\/(-9). Calculate the greatest common divisor of n and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + 1*sqrt(44).\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 68. Let s be r(-26). Suppose -s*h = -1269 - 1291. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 29 + 29.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from gwg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.472 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(((sqrt(96) - 1*sqrt(96)) + sqrt(96) - sqrt(96)) + sqrt(96)))\/(5*(sqrt(8) + sqrt(24)\/sqrt(3))))\/((sqrt(484) + 1*sqrt(484) + sqrt(4)*2*-6)*-2).\nAnswer: -sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p)**(2\/7)\/((p*p\/(p*p**(-9)\/p*p))\/(p\/(p**(-2)\/p))) assuming p is positive.\nAnswer: p**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -50800953 take away 6.977307?\nAnswer: -50800959.977307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12) + 0 + -6 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 36830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 4 (c) -345 (d) -5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245\/9 at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 2*j + 2. Let u be v(-2). Solve 0 - 2 = -u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2223 + 749 = -i, 2*f - 1468 = 2*i. Suppose 7*g + g = f. Let d = -92 + g. Solve b - 2*b - 5 = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7348*i - 1960*i = 98347 + 204947 + 245878 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2034 = -3*v - 4*c, 0 = -4*v - 5*c + 3718 - 1005. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103132 (base 4) to base 16\nAnswer: 14de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 22 = 2*w, h - 5 = -2*w + 1. Let s be (-2 + w)*(-2 - 0). Let y(r) = 4*r + 2. List the prime factors of y(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/13 + 16*x**4\/13 + 24*x**3\/13 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1556709, 3113418, 4670127?\nAnswer: 6226836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 + q**4\/4 - q**3\/3 + q**2\/2 + q. Let p = -52 - -49. What is the lowest common multiple of m(p) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - (-1 + 0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -32. Let y be 3 + 2 + -1 - n. Suppose -3*l = -2*k - 3563, -y*l + k + 1186 = -2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/3)\/1)\/((-25)\/(-15)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3067 - 3066.5. Let f = -24.44 - -0.44. Sort 5, -5, p, f in ascending order.\nAnswer: f, -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 733.2.\nAnswer: 1246.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6804498*o**3 + o**2 - 35872305*o wrt o.\nAnswer: 40826988*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 124. Let g = 38.99906 - f. What is g rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2. Let a(y) = 12*y + 1. Let d(b) = 308*b + 99. Let h(p) = -198*a(p) + 2*d(p). Determine h(w(t)).\nAnswer: 3520*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 99, -117, -333, -549, -765?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10593 = -68*m + 71*m - 5*z, z = 3*m - 10605. Which is greater: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 - 1.9. Let r = -5 - z. What is the nearest to -0.1 in 0.1, r, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = -61*k - 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 4. Let x be w(5). Let u(o) = -o**2 - 3*o - 7. Let l be u(-2). Sort 0, l, x.\nAnswer: l, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(12\/7))\/l**0)\/(l**(-1\/7)*l**(-1\/4)) assuming l is positive.\nAnswer: l**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4)*1) + -5*sqrt(2)*-2.\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o + 15*o - 9*o to the form h + m*o and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16855, 33708, 50561, 67414, 84267, 101120?\nAnswer: 117973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-12)\/42)\/(14\/49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -64\/43, 2\/123, -2, -3?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(102)\/(sqrt(6) - sqrt(6)*2) + 3 + 3).\nAnswer: -5*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 10*y + 2*y)*(-2 + 7 + 12)*((2 + 3 - 7)*(-4 + 3 + 0) + 5 - 4 - 6)*(0 - 5 + 7) to v*y + o and give v.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.551136l?\nAnswer: 551.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6, b: 3, e: 3, j: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8110736 and 653744.\nAnswer: 7184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 713459.93 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - -57. Let h = -49 + g. Calculate the remainder when h is divided by (-8)\/3*9\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -54. Suppose b - 1139 = -3*l, -4*b = -f + 3. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 46 = 318 + 544 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 180, 473, 872, 1371, 1964, 2645?\nAnswer: 3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -79.8107*0.82\nAnswer: -65.444774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-seven fifths of a millimeter?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 0. Suppose q*y - 2*y - 4*k = -34, 5 = y - k. Calculate the least common multiple of 4 and ((-6)\/y)\/((-4)\/324).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -13086\/5, 4, 232?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -762*j - 10891. What is the thousands digit of n(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12 - 9*w**2 + w**3 - 5*w**2 + 9*w**2 + 7*w**2 + 7*w. Is 16 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhb. What is prob of sequence hbh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/23, -0.2, 1\/7, -4, -1229 in increasing order.\nAnswer: -1229, -4, -0.2, -1\/23, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38408 + -19437. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 + 436*w - 436*w.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jah when three letters picked without replacement from njhhhqnjhnah?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 <= -7656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Suppose 4*y - 2*z = -4*z + 190, -m*z - 65 = -y. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssknskssnknksn. Give prob of picking 1 k and 1 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5696 and 2048.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6*h - h - 1)*(92 + 106 - 30) as r + p*h and give p.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - x + 4. Let o(q) = -2*q**2 - 3. What is 4*o(p) + 5*t(p)?\nAnswer: 2*p**2 - 5*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.1. Let g be 175\/(-315)*6\/5. Which is the smallest value? (a) 7\/3 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 9*m + 11. Let d be p(-7). Let t(j) = -2*j**2 - 4*j + 1. Let y be t(d). What is the smallest common multiple of (-60)\/35*(-2 + y) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/11 (b) 80 (c) 13 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6dd829 (base 15) in base 2?\nAnswer: -10100000100001100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3 + 1674*a**2 - 196443*a - 10728120 = 0.\nAnswer: -40, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 93, 191, 0.14?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(154\/245) - 4\/22. What is the second derivative of -5*d**3 - 48*d - 6*d**q + 35*d - 6*d**3 wrt d?\nAnswer: -102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 40, 96, 168, 250, 336, 420, 496?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 8. Let t(o) = 2414291*o**2. What is z(t(u))?\nAnswer: -2414291*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 62*s = -144 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 3*b - 7*b. Let s = b + -50. Factor s*c**2 + 3*c**3 - 35*c**2 + 24*c**2 - 3*c - 3.\nAnswer: 3*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 4)*(-26 + 2 + 320*z + 24)*(2 + 4 + 1 + 0 - 1 - 1 - 2 + 0 + 4 + (-1 + 2 + 0)*(2 - 4 + 0)) in the form w + k*z and give k.\nAnswer: 9600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72908*x*y**3 + 2*x*y - 30671*y**3 wrt x?\nAnswer: -72908*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 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: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4279\/4 + 1070. Which is the second smallest value? (a) -10 (b) -60 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1773 or -354?\nAnswer: -0.1773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o + 9 = 0, 5*r - 3*o = 34. Suppose 12*z - 2*x + 744 = 14*z, r = -5*x. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/59 - 3265\/2596. Calculate the common denominator of d and -13\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10497, 3, -2, 7, -5 in decreasing order.\nAnswer: 10497, 7, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20\/70)\/(((-3)\/14)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123332 (base 5) to base 8.\nAnswer: -11352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2)\/l)**(-35)\/(l*(l*l*l\/l**(-1\/4))\/l*l**5) assuming l is positive.\nAnswer: l**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 4*u + r, -21*u - r + 826 - 1038 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 21 + 7 = 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 57962.\nAnswer: 1333126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-608)\/2508*(9\/(-4))\/3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 131*o + 189. Let x be r(-64). Let g be 1410\/(-600) - 1*3\/(-12). Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3828 + -2594. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5403*z - 5403*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 8*t - 36. Solve -4*d = -d - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 1459 - 12004 = 5265. Which is smaller: m or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322015289\/4 + 795699859945\/9884. Let b = 13\/353 + h. Calculate the common denominator of b and 7\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 4*u - 26. Suppose 3*z - 4 = -z. Suppose -u = -p + z. Solve 0 = -0*g + p*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 17*m**2 + 24*m - 51. What is o(-15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*c = 5*q - 130*c - 791, -4*c - 492 = -3*q. What is the highest common factor of q and 1640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -224*x**2 + 4. Let t(r) = -225*r**2 + 3. Calculate -3*a(z) + 4*t(z).\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2 and 127\/522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksss when four letters picked without replacement from ssssskkssskskk?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, b: 2, e: 11, k: 5}. What is prob of picking 1 k, 1 q, and 1 b?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -123. Let m be 128\/28 + h*(-4)\/(-84). Calculate the highest common factor of 45 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2121121 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k)*(-74*k**2 - 5 + k**2 + 53*k**2).\nAnswer: -40*k**3 - 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 438, 462, 508, 582, 690, 838?\n\"Answer: v**3 + 5*v**2 + 2*v + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*i - 162. Let a = i + -35. Suppose 0 = 5*f + 4*n - a, -6*f + f = 5*n - 45. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-6))\/((-845)\/(-5070)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.416561 or 2\/15?\nAnswer: 0.416561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441300951 - 0.095.\nAnswer: 441300950.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 22*i - 54. Let v(j) = 2*j**2 - 22*j + 53. Let a(k) = 6*v(k) + 5*x(k). Factor a(h).\nAnswer: 2*(h - 8)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -17, -82, -205, -404, -697, -1102, -1637?\n\"Answer: -3*d**3 - 2*d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.33 (c) -2 (d) 226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10471, 10333, 10195, 10057, 9919, 9781?\n\"Answer: -138*i + 10609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c = 173, v = -4*v - 5*c + 295. Let g = v - 36. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54167*g**2 - 4519*g?\nAnswer: -108334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*y**2 - 225*y**2 - 204*y**2 - 214*y**2 - 240*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6\/11*t**3 - 1110\/11 + 2226\/11*t - 102*t**2 = 0.\nAnswer: 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h. Let q be (6\/7)\/(((-40)\/35)\/(-8)). Let f(a) = 21*a - q*a - 21*a. Determine f(r(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1, 4*s - a = -0*s + 1. Suppose 3*f + 15 + 12 = s. List the prime factors of -3*(1 - (-33)\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -58*r + 57*r - 4, 2 = t + 2*r. Suppose -5*b = 8 - 23. Solve -b*h + 19 = -0*g + 4*g, -t*g = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -4, -0.2, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -3, 12\/29, 6, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -280420 - -40?\nAnswer: -280370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2639\/819)\/(20\/(-180)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -50 + 3 + (2 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -2*g, -g + 5 = 5*n - 14. Solve 2*d = n*x - 14, -7*x - 4 = -9*x + 4*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(112) + -2*sqrt(1008) + sqrt(1008).\nAnswer: -8*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5096 = 22*u - 1136. Let d = -1553 - -1370. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 81?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.077564 rounded to one dp?\nAnswer: 190.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 44. Let o be ((-90)\/21 - -4)*-7. Suppose 0 = -5*t + 3*h - 0*h + 1, -w = -2*t - o*h. Is t at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 2. Give w(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:07 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4\/4 - 2*c**3 - 2*c**2 + 4*c - 7. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l**2 + 11 + 28*l**2 + 43*l - 43*l to the form y*l + d*l**2 + r and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 343, 829, 1291, 1729, 2143, 2533?\n\"Answer: -12*w**2 + 522*w - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhk when four letters picked without replacement from kaaaxhhhkyp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0*c + c + 0 + 5 + 6. Let z be m(-7). Suppose z*a = k + 2*k + 86, k = -2. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 32 - 32)*(-1 - 3 + 5)*(m + m - m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -10*(-75)\/(-18). Let k = d + -43. Suppose 152 = 34*s + 4*s. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*f - 3. Suppose -11 = -o - f. Let b = o - 2. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17359 is divided by 412.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 307890331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -707233.\nAnswer: 212169.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*((0*z + 0*z + z)*(-2*z**3 + z**3 + 0*z**3) - 2*z**4 + 0*z**4 + 0*z**4).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16804658 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**2 + 4*h + 10. Let l(j) = -7*j**2 + 2*j + 5. Suppose 3*t + 0*v = v + 20, -3*t + 10 = 4*v. Let m(k) = t*g(k) - 13*l(k). Give m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.37 - -104.37. Which is the nearest to w? (a) -1\/2 (b) 2 (c) -5\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3492 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.988535 hours in days?\nAnswer: 0.707855625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s**(2\/21))**(1\/2) assuming s is positive.\nAnswer: s**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503512 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 l(g) = g**3 + 39*g**2 - 1431*g - 276. Determine l(-62).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163*c**2*t - 4*c**2 + 387*c*t + 21*c + 315111701*t wrt c.\nAnswer: -326*c*t - 8*c + 387*t + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Suppose -3*v = -m*v. Suppose 3*u - u + 104000 = v. What is u rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + sqrt(55)\/sqrt(5) + sqrt(11) - sqrt(1408)\/sqrt(2)) + 5.\nAnswer: -5*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 60*c + 3. Let q(l) = -25*l**2 - 181*l - 8. Give 11*d(u) + 4*q(u).\nAnswer: -u**2 - 64*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 96. Give o(21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12240 = 173*g + 167*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 270 - 4937*v**4 - 3*v**2 + 2466*v**4 + 2472*v**4 + 135*v**3 - 403*v.\nAnswer: (v - 1)**2*(v + 2)*(v + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -11. Let d be (c*2)\/((-2)\/5). Suppose 0 = -3*x - q + 148, -x + d*q + 36 + 8 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 5*j. What is t(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.223 - -0.777. Which is the closest to o? (a) -0.7 (b) -0.04 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 0 - (-1 - (-21 + 3 + (149 - 137))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 minutes after 4:42 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q)**(-35)\/(q**36\/q**14) assuming q is positive.\nAnswer: q**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 15\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1080\/(-110) - -10)*(-5)\/10. Let q(f) = f**2 - 6*f + 3. Let a be q(4). What is the second biggest value in 1\/9, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.6. Let s = b - 1.2. Let l be 2*(-1)\/(-2)*-4. Sort l, -3, s in ascending order.\nAnswer: l, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*z + 68. Let l = z + 57. Solve 4*s = y - 7, -s + 3*y = 4 - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 120120?\nAnswer: -120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 - 323*b + 410. Let p be m(-82). Let t be ((-52)\/(-6))\/(10\/15). Suppose 3*i - 8 = -3*s + t, 0 = 5*s - 2*i. Solve -s*k + 5*k + 12 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*(3*y**2 + 3*y**2 - 16 + 17)*(188*y**2 - 64*y**2 + 235*y**2) to w*y**3 + h*y + i + u*y**2 + q*y**4 and give u.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 825 = 3*x, -33*k + 1357 = -28*k + x. Differentiate -256*s - 276 + 14*s + 777 - k wrt s.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + y**3 + 7*y**3)*(-3 - 1 + 2)*(1 - 4 + 4) - 1 + 1 - y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32740418 and -4.\nAnswer: -130961672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 79 = 79. Let k = -1260 + 1259. What is the nearest to p in -5\/6, k, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h + 12. Let u be c(-5). Suppose -t + 4*t + 18 = -3*w, -5*t - u*w - 39 = 0. Let n(s) = -s**2 - 6*s - 2. Calculate n(t).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o + 5. Let c(l) be the second derivative of -7*l**3\/6 - 3*l**2 - 6*l. Give 6*b(s) + 5*c(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfpz when four letters picked without replacement from {s: 1, p: 2, f: 1, n: 1, z: 2, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 + 1471385*b**4 + 8327244*b.\nAnswer: 40*b**3 + 17656620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -12*j**3 + 47*j**2 + 15*j - 28. Calculate q(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223232583 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(95)*3*-3 + -4*(sqrt(95) - 2*sqrt(95) - sqrt(95)))\/((1*sqrt(3645) + sqrt(3645))\/(sqrt(9) - sqrt(9)*1*-2)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 75. Suppose 3*d - 2*d - y = 0. What is the common denominator of -67\/21 and (6\/(-14))\/(d\/21)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2191299059 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d2 - -4?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = 0, 51*x + 23065 = 53*x - 5*o. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(2*3\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 9 = -8*t + 22. Suppose 2 + 13 = 5*r. Solve -r = -3*x - t*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/15 - 15*v**2 - 33*v. Let m(o) be the first derivative of j(o). Let b(u) = -6*u. What is b(m(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(-1 + sqrt(475)) + (sqrt(114) - (sqrt(114) - ((sqrt(114) - (-6*(sqrt(114)*2 + sqrt(114)) + sqrt(114))) + sqrt(114))))\/sqrt(6))*-5.\nAnswer: -60*sqrt(19) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1 + j**2 - 4 + 5. Let b(g) = -5*g + 4*g - 5*g. Determine b(f(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95452516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113176*v**2*z**3 - 4*v**2*z + 44867*v**2 + 2*v*z + 7*z**3 - z**2 + 6 wrt z?\nAnswer: 679056*v**2*z + 42*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + i + 2. Let w(u) = 66*u**2 + 6*u - 8. Let f(x) = w(x) + 4*z(x). Suppose -3*p - 8 = p. What is the hundreds digit of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 6619620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, o: 7, w: 3, q: 4, e: 1}. Give prob of picking 2 q and 2 w.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uku when three letters picked without replacement from kkkkuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l\/l**(2\/27))\/l*l*l*l*l))\/(l\/l**(-5)))\/(l**(2\/5))**42 assuming l is positive.\nAnswer: l**(-3743\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:49 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -263829, -263816, -263803?\n\"Answer: 13*f - 263842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932338615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 11. Let l be g(5). Suppose 33*c - 112 = l*c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-220)\/14)\/(324\/(-21546)). What is the highest common factor of 220 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*i - 7*i. Suppose 5*z - 545 = -i. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*q - 726, -2*l + 6*q = 3*q - 1474. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 5*j + 14, 2*m - 3*j = 2. Let r = 17 - m. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -204938?\nAnswer: 2\/102469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3154, 1460, -234?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwgwccgwwwwwggcgw. Give prob of picking 2 g and 1 w.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/49*7*15\/(-70). What is the smallest value in 5, 0.4, 0.6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1540\/330*(-6)\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*s - 2*o - 11, -5*s - 2*o + 28 = 0. Is s at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10111 is divided by 406?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001*n - 188771 = 3454*n - 663356 for n.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 41 - 352*u - 18*u + 41.\nAnswer: 3*u**2 - 370*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1 (c) -1335274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204763187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 5}. Give prob of picking 2 h and 2 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 120*u + 11523. Let l be z(-95). Is l greater than 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.2 - 9. Let g = d - -1.1. Let l = 4.12 + -0.12. What is the biggest value in 0.4, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 3, w: 10, e: 4}. Give prob of sequence wwj.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17.1 (b) 0.03 (c) -0.4 (d) -5 (e) -1\/5 (f) 4.1 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1014 - -3011\/3. Let h be (-1 + 89)\/2*2. What is the common denominator of h*(2 - 6\/4) and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1103 + -43333?\nAnswer: -44441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9213913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 234\/((-1)\/1) - 1*2. Let t = -116 - n. Calculate the highest common factor of 200 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 2658*c**4 - 561618*c**3 - 11995020*c**2 - 71588043*c - 99731574 = 0 for c.\nAnswer: -9, -2, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**3\/3 + k**2 - 3*k + 46. Let d(o) = -2*o**2 + 5*o - 8. Calculate -3*d(c) + 8*l(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 120 = -p. Suppose -6*f + p = -2*f. Find the common denominator of 65\/22 and (151\/(-18))\/((-20)\/f).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 13*y - 3. Let v(f) = 0 - 3 + 2 + 2. Let z(c) = -v(c) + x(c). Let m be z(12). Calculate the highest common divisor of 32 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573081945 divided by -1255\nAnswer: 456639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = f + 79, 3*a + a + 2*f = 162. Suppose k - a = 5*q + 6*k, -6 = 2*k. Sort -2, q, -1 in descending order.\nAnswer: -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -266.\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -18. Let i(f) = -f**2 - 4*f - 5. Let v be i(-3). What is the closest to 0.02 in 5\/6, n, v?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -116. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.196 - 73.804. Let j = f + 74.2. What is j rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.3. Let z = -2.46 + -110.54. Let w = 112.85 + z. What is the third biggest value in -4, w, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 278 + (2 - (-4 + 7)). Suppose -2*o + s = 3. What are the prime factors of o?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = 13*y - 4*s + 54, -3*y + 4*s - 42 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -39. Let z(k) = -11 - 5*k**2 - s*k - k**3 + 6*k**3 - k**3 - 3*k. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {y: 3, f: 9, o: 5, n: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, l: 1, k: 1, h: 1, x: 1}. What is prob of sequence jx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -142145.\nAnswer: 56858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.705807 * -3.\nAnswer: 2.117421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 3. Let c(m) = 7*m - 5. Let j(z) = 3*c(z) + 5*x(z). Let o = -6 - -8. Let u(l) = 2*l**2 - 3*l**o - 2*l**2 + l**2. What is j(u(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2\/7, 3\/2, -4, -1.314, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 5*r = -18*s + 110, -80*s - 320 = 2*r + 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 4) to base 6.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 6430478 + 2319522. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 49*i**2 - 46*i + 119. Let l be j(-48). Let w(b) = 11*b**2 - 2*b. Let t be w(-4). Calculate the greatest common factor of l and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 75. Let r be t(27). Let m = 1108 + -1094. Let b(n) = 2*n**3 - n**2 - 3*n. Let d(s) = 5*s**3 - 3*s**2 - 7*s. Determine m*b(j) + r*d(j).\nAnswer: -2*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26.2*-2\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1062715 and 52785?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 822 and 2131.7?\nAnswer: 1309.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000471149728 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q, -r - 5*q + 10 = -2*r. Let a be 574\/(-819) + r\/(-45). What is the closest to 1\/3 in -7, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/28 and 151\/2854032.\nAnswer: 19978224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-30)\/z**(2\/19)*(z**6)**(2\/11) assuming z is positive.\nAnswer: z**(-6064\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2109 and 976809.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/390 and -19\/67995018?\nAnswer: 339975090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49732 divided by -2?\nAnswer: -24866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaoraxoxopaxoo. Give prob of picking 3 x and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 9)*(-5*p + 1 - 1).\nAnswer: 50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 13874016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttz when four letters picked without replacement from tmzmtmttmmztmztmtm.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + t - 12. Let o(h) = -2 - 4*h**2 + 10 + 3*h**2 - h - 2. Let d(w) = -5*o(w) - 2*y(w). Let x be d(-5). Solve 0 = -x*i - 0*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 43*p**2 - 11*p**2 + 60*p**2 - 7*p**2 + 53*p**2.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a. Let h(d) be the second derivative of -293*d**4\/12 - 169*d. Calculate h(t(s)).\nAnswer: -7325*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6*w + 40. Suppose 0 = w*v - 13*v + 18. Which is greater: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 - 27 - -50)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(891) + 1 + (sqrt(11) - (sqrt(11) + -2))*-2)*1)**2.\nAnswer: -864*sqrt(11) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11526 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2\/5, 4959, -1, -0.03, 0.2 in descending order.\nAnswer: 4959, 21, 2\/5, 0.2, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 32*n**2 + 4*n - 1. Let p be x(3). Let i = p + -88. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11, 1, 2, -5, 5 in descending order.\nAnswer: 10, 5, 2, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23967 is divided by 1185.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 5*i + 6*i**2)*(2*i - 22 + 8 + 36)*(3 - 4 + 3) to the form y + n*i**2 + p*i + r*i**3 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 159, -1, -5, 1.\nAnswer: -5, -1, 0, 1, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21571741 to the nearest integer?\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 397562813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:42 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8532 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + 2*g**2 + g. Let t be o(-1). Suppose 0 = -4*x - v + 10, 4*x = 8*x - t*v. Put 0, x, 33, 1 in decreasing order.\nAnswer: 33, x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m + 1. Let g(i) = 29*i - 2. Suppose -25*h + 7 + 5 = -19*h. Determine h*g(o) + 5*y(o).\nAnswer: -17*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 538 and 998.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + s)*(-s**2 + s**2 - s**3)*(41 + 19 - 24).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(18\/(-3)) - 65\/(-26). Let m be (-2 + 11)\/(2\/2). Let b = 5 - m. Put -3, b, u in increasing order.\nAnswer: b, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6522862 to the power of 1\/2, to the nearest integer?\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -22*m + 20. Calculate the remainder when 15 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1522*v + 6411. Let s be g(4). Calculate the highest common divisor of s and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 - -10526.29156.\nAnswer: 10528.59156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38872634*m*n**3*x**2 - 28*m*n*x**2 - 4*m*x + 122*m + n**2*x**2 - 16*n*x**2 wrt n.\nAnswer: -233235804*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 16, -24 - 3 = -3*p + 3*c. Suppose 4*t + 0 - p = -3*j, -5 = 2*t + 3*j. Suppose -41 = -t*h + 199. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.652 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85577468 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -420*i + 1263. Let t be z(3). Let d = 25 - 15. Solve -y + 3*r = d, -y = t*y - 4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2*y**3 - 2762*r**2 + 1015*r - 2*y**3 - y + 2 wrt r.\nAnswer: -6*y**3 - 5524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-24)*(-2 + 56\/12). Let r(n) = -45*n + 12. What is r(u)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(360) - sqrt(360))*1 + (sqrt(360) - -5*(-2*sqrt(360) - sqrt(360) - sqrt(360))))\/(-4*sqrt(40)\/sqrt(5)*-2).\nAnswer: -57*sqrt(5)\/8 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -6. Let j = -14.07 - s. Let n = j - 0.93. Sort n, -1\/5, 0.\nAnswer: n, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -758003*z**4\/12 + 5*z**3 + 38*z**2. Let s be q(5). Round s to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35969*a + 32*a**3 + 30*a**3 + 3*a**2 - 36157*a wrt a.\nAnswer: 372*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -115, -281, -513, -811, -1175, -1605?\nAnswer: -2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 943, 1673, 2391, 3097, 3791?\nAnswer: 4473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/(-18) - (-8838)\/9396 and 45\/2.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609309947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*w + 663 - 279 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 7*j**2 + 6*j + 6. Let h be m(5). Suppose -y - y = -h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42646709*u**2 + 41343183 wrt u?\nAnswer: -85293418*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5 (c) 268 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 3668984700?\nAnswer: -3668984695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 divide 10796362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Add together 644 and 5548096309.\nAnswer: 5548096953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 403201032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143355 + 2?\nAnswer: 143357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*17\/(-340) - (-3)\/(-15))\/((-9)\/(-612))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73004253.\nAnswer: 3, 7, 1097, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4703 = -5*o, 3*l = 7*l + o - 9433. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/175 and 79\/110?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*w - 3*w - 8, -w - 4*s - 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -160 and 294962.\nAnswer: 294802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62445471 and 119765?\nAnswer: 312227355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1124, 2263, 3402, 4541, 5680?\n\"Answer: 1139*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/28*(69\/(-90) + (-48)\/(-480))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7611 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 4 + (-2028)\/216 and 31\/94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006042418 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 57717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**7\/210 - o**6\/90 + o**3 + 3*o. Let k(d) be the second derivative of h(d). What is the third derivative of k(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 4. Factor -2*v**2 + v**4 - 2*v**5 - 3*v**4 + 4*v**t - 3*v**3 + 5*v**3.\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 25. Let n = 27 + -19. Solve -w + p = -4*h + 2, h - w = -n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*v**2 - 207*v**2 - 206*v**2 - 207*v**2 - 210*v**2 + 1045*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + o**2 - 3. Let v(z) = -z**2 + 1. Let q(t) = -t**2 - 3*t - 4. Let c be q(-3). Let i(r) = c*f(r) - 12*v(r). Let i(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 - (-4 + 1 - 8\/(-2)). Let g = 18 + h. Let c(v) = v**2 - 6*v + 4. Determine c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 3*w**3 + w**3)*(-w - 2*w + w) + (0*w + w - 4*w)*(-2 + 2 - 2)*(215*w - 215*w - 57*w**3).\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 23. Let q be w(14). Suppose 0 = 4*x + q*m - 5, 2*m + 26 = 5*x - x. Solve -5*r = -4*r + x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 11*s + 29. What is the hundreds digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -33793 and -0.1.\nAnswer: -33793.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 11. Suppose 5*i - 3*d - 2*d - 65 = 0, -4*i + 2*d + 54 = 0. Let b be g(i). Solve -4*n - 3*o = -b*n - 1, 4*o - 13 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 201, 210, 219?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*y**4 - y**2 - 162*y + 2 wrt y?\nAnswer: 2736*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 121 + (-3 + 4 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x**2 + 6*x - 7. Let h be l(1). Suppose 1732 + 1718 = h*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-1 - 9) + 5 + -16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543666 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30220711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 7*d + 3*d + 792, -3*n - 4*d = -594. Calculate the common denominator of (-3 - 2) + 663*2\/n and 79\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/210 and -127\/22722?\nAnswer: 113610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/6 - 4*w**3\/3 + 7*w**2\/2 + w. What are the prime factors of h(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 23*m**4\/12 - 23*m**3\/6 + 8*m. Let i(o) = 8*o**2 - 8*o. Determine 17*i(d) - 6*k(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89497 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/(-32))\/(129\/(-39)) + (3 - 0)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1996 and 2618.\nAnswer: 2612764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1044552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3164, -13494, -30670, -54698, -85584, -123334?\n\"Answer: -f**3 - 3417*f**2 - 72*f + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 11. Let x(y) = 11. Let h(a) = d(a) + x(a). Let q(u) = 3*u**2 + 142*u. Calculate q(h(m)).\nAnswer: 27*m**2 - 426*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**2 + 9*w + 1. Let r(k) = 5*k**2 - 4*k. Let n(u) = -2*f(u) - 5*r(u). Let q(l) = 48*l**2 - 33*l + 33. Give -66*n(g) - 4*q(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m + 5*m**5 + 50*m**4 + 30*m**3 + 50*m**3 + m.\nAnswer: 5*m**3*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 7. Let i be a(9). Solve -i*n + 10 = -0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -4\/3*h**4 + 0*h**5 - 2*h**2 - 61\/120*h**6 - 80*h + 0 + 0*h**3. What is the second derivative of o(y) wrt y?\nAnswer: -366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4)**(-3\/8)*(w\/w**3)**(-41) assuming w is positive.\nAnswer: w**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 2*h**2 - h + 2. Suppose -4*l - 4 = -12. Let x be c(l). Suppose 61 = 5*b - p + 76, -21 = 4*b + p. Put x, b, 5, -1 in decreasing order.\nAnswer: 5, x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1446, 1429, 1402, 1365?\n\"Answer: -5*d**2 - 2*d + 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x**2. Let f = 96 + -56. Let v = f - -286. Let q(t) = 2*t + 326 - v. Give i(q(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1470 and 252.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*i**3*s + 5094*i**2*s**3 - 6198879*i*s**3 wrt i.\nAnswer: -264*i*s + 10188*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -35\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k + 10. Let a be u(-3). Let q be 2*(a\/(-8) - 0). Suppose -5*m + 65 = -3*s, 13 + 87 = q*m + 4*s. Calculate the remainder when 77 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54524393 to the power of 1\/2, to the nearest integer?\nAnswer: 7384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 5*a)*(-20265*a - 20326*a + 40344*a + 4*a**2).\nAnswer: 4*a**3 - 247*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 69. Let v = 881\/18 - 287\/6. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -2*f - 60, -2*f = 10. What is the remainder when r is divided by (-1 + 14)\/(-99 - -100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 80, -4 in decreasing order.\nAnswer: 80, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 6877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -152939 divided by -3\nAnswer: 152939\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -71. Suppose o - 5 = -3*t + n, -2*o = t - 72. Calculate the remainder when 133 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -1 - (-2 - -2). Suppose -f*a = 2*a - 10. Let y be ((-1)\/(27\/6 + -4))\/(-1). Solve -3*o - 2*l = a, -o = o + 2*l - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-1 + 1)) + (18 - (15 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16700243.\nAnswer: 7, 41, 58189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = m - 5*m + 643, -4*m + 3*x = -641. Suppose -5*r + m = -474. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5393 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.487085 to 3 dps.\nAnswer: -7.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5984 and -104.01998414?\nAnswer: 6088.01998414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 931664, 931742, 931820?\n\"Answer: 78*h + 931586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e7ce (base 16) in base 11?\nAnswer: 28a017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/198 - -1 - (10 + (-327)\/33)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 5 + 3228841*y**2 - 2*y**3 - y**4 - 3228852*y**2 + 3*y - 2*y as v*y**4 + q*y**2 + u + s*y**3 + f*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -17*r**2. Let n(t) = -t - 2. Let y(f) = 37*f + 10. Let q(u) = 5*n(u) + y(u). What is i(q(c))?\nAnswer: -17408*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.265571 - 3.\nAnswer: -2.734429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 2290992?\nAnswer: 2290992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2 - 2 + 0 + 8*s + 3*s**2 - 2. What is the tens digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10829 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u + 1. Let i be y(-4). Suppose 4*x - 4 = 0, 0 = -i*z - x + 10 + 16. Let p(b) = -b - z - 2 + 0*b. Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7410, 7417, 7438, 7479, 7546, 7645?\n\"Answer: f**3 + f**2 - 3*f + 7411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 12*v**2 + v - 12. Suppose 4*l + 2*p = 50, 0 = -l - l + 2*p + 22. Let n be t(l). Which is bigger: n or -6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 562540813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Let f(r) = -r - 5. Give -f(p) - 4*z(p).\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -3.4.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -338 divided by -74482\nAnswer: 169\/37241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2809*h + 6*h**2 + 12 + 1402*h + 1407*h to k*h**2 + t*h + o and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*r - 80 + 22, 0 = 4*d - 3*r - 98. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 16 = -3*j, -1632 + 1564 = -4*j + 8*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 + 5*r**2 + 4*r - 7. Let z(y) = 6*y**3 - 6*y**2 - 5*y + 8. Let j(v) = 7*d(v) + 6*z(v). Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67714 (base 15) to base 5.\nAnswer: 41011334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - n - 2*n + n + 177 - 743*n**2 + 742*n**2 to the form u*n**2 + f + g*n and give f.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - o - 2. Let h(l) = -7*l**2 - 3*l - 5. Let b(s) = 5*g(s) - 2*h(s). Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248 and 341.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -38. Does 23 divide m*(-1)\/2*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41003174 divided by -1\nAnswer: -41003174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 134 - 16. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13613 by -1.\nAnswer: -13613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7. Let s(l) = -5*l + 285. Let f(z) = 25*a(z) + s(z). Determine f(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.17 - 5.7. What is c rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 9\/(-24))\/((-350)\/(-40) - 5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -3170, -7120, -12662, -19802, -28546, -38900?\nAnswer: -50870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 356, -277, -906, -1531?\nAnswer: -2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, v: 3, n: 8, i: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043 to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91.1 + 96.1. Which is the second smallest value? (a) -0.024 (b) n (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (-1 + 12\/(-7)) and (2\/(-3))\/(330\/(-2250)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {w: 19, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3328 is divided by 333.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.084 - -0.384. Is -7\/2 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/77 + 32\/7. Suppose 15*i = -11 - a. Sort 5, 3, i, 0 in descending order.\nAnswer: 5, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/1)\/(-3) + 9. Let p = x + -4. Suppose -p*v + v = -16. What is the least common multiple of v and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 8. Let u = 13 - 6. Let l be w(u). List the prime factors of (-21)\/(-9)*(l + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2658 and 1572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3616, -14375, -32320, -57463, -89816?\n\"Answer: -2*f**3 - 3581*f**2 - 2*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50609477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1000? (a) -1\/10 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-2)\/2). Let u = -5.77 - -5.6. Let s = u + 0.15. Is s at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.31, -0.022 in ascending order.\nAnswer: -0.31, -0.022, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/21*4\/8*1*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-6) + (-54)\/81. Let b(a) = a**3 + 7*a**2 + 6*a + 2. What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5*45\/18. Let j = -0.2633 - -0.1633. Which is the closest to 0.2? (a) j (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -250.9, -0.3, -0.1, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 222*z. Let p(d) = -16*d**2. Calculate h(p(j)).\nAnswer: -3552*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648, -812, -2522, -4470, -6644, -9032, -11622, -14402?\nAnswer: -17360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*v + 128*v + 408 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 16*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 3*d**3 + d**3)*(3 - 2*d**2 - 3 + (0*d - 2*d + 3*d)*(4*d - 5*d - 4*d) + d + 2*d**2 - d).\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 14*((2 + -2)\/(-1) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -3*i - 756. Calculate the lowest common multiple of 56 and i.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 408, 403, 398, 393?\n\"Answer: -5*z + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6368 + -3551. Let l = d + -1693. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g. Suppose 3*y + 5*f + 14 = g, 3*y + 2*y = -4*f - 6. Let i be y + -2 + 3 + -4. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 806 and -4721283.\nAnswer: -4720477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 26 + 55 + (4 + 2 - 5)*(-3 + 6 + 0))*(-4*a - 9 + 9) to c*a + f and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1088))*3 - sqrt(1088))**2 + -4 + (-2 + (sqrt(1088)*2)**2)*3.\nAnswer: 17398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 23*m + 10. Let s(f) = f + 11. Let z be s(-7). Let j(o) = -o**2 + 8*o + 3. Let l(i) = z*q(i) - 11*j(i). What is l(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.7 and 3.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 79. Calculate the remainder when t(0) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*z + 13, 4*z - 7 = -4*u + 7*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from vpuqe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126559 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 381898795 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15472 times -0.121?\nAnswer: 1872.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(5\/2))*r**9)**19)**(-9\/5) assuming r is positive.\nAnswer: r**(-3933\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 4*z - 8, -2*z + 6 = -4*j. Is (-250)\/j - 6\/12 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136719 to the nearest ten thousand.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -0.911, 0, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydydbyyd. What is prob of sequence bdyy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**3*m**2*w**3 - c**3*m*w**2 - 14*c**3*m*w + 4*c**3 + c*m**2 - 2*c*m*w**3 + 23*m**2*w**3 wrt m?\nAnswer: -12*c**3*w**3 + 2*c + 46*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*o = 124*o - 41*o + 14735 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2 + 11*c**2 + 4 - 11*c - 25*c**2. Let u be y(-11). Let m = 0.3 - -0.2. What is the second smallest value in m, u, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 16. Let l(c) = 6*c - 80. Let v(s) = 2*l(s) + 11*u(s). Let i be v(-15). What is the first derivative of 0*h**4 + 1 + i - h**4 + 12*h**4 wrt h?\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let z(r) = -991*r**2. Calculate z(f(o)).\nAnswer: -3964*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 4*z**2 + 4*z - 7. Suppose 38 = -2*a + 54. Suppose 14 = 5*y - 3*c, -y = -0*y + 2*c - a. Let j be g(y). What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 1\/6*v**4 - 3 - 23*v**2 - 67\/20*v**5 - 2*v + 0*v**3. Find the third derivative of z(a) wrt a.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/50322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 465 * 0.03\nAnswer: 13.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5448\/5 - 1090. Find the common denominator of y and 26\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by (-95 + 92)\/(1\/(-13))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*a - 578*a - 138*a + (-3 + 3 + a)*(-6 + 3 + 1).\nAnswer: -754*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 6:05 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -16568, -4, 0.1, 0.06, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(325) - (sqrt(325) - (sqrt(325) - 5*sqrt(325)*-2)) - (4 + 2 + sqrt(325))) + -2*5*-4*(sqrt(325) + sqrt(325) + -2 - sqrt(325)))**2.\nAnswer: -44000*sqrt(13) + 820244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 8, -2, -34, 3 in decreasing order.\nAnswer: 8, 5, 3, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = 2*l + 172 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 + (4 + 1 - 3)*(6 + 0 - 3))*(-v - 7*v + 2*v).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50\/7 + -79\/14. Let j(r) be the first derivative of -1\/4*r**3 - b*r + 9\/8*r**2 + 2. Factor j(m).\nAnswer: -3*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 3.28.\nAnswer: -13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + p - 123 = -29*q - 7*p, -3*p + 478 = 86*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000001 (base 3) in base 12?\nAnswer: -3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/12 - w**2. Suppose 10*j = 14*j - 4. What is b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18885 + 2?\nAnswer: 18887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 13*t**5\/360 + 7*t**4\/36 + t**3\/9 + 28*t**2. Factor o(v).\nAnswer: (v + 2)*(13*v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5967120.\nAnswer: 2, 3, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -9521.3 and -40821.03.\nAnswer: -50342.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -15*l + 18. Solve -j + 16 - 11 = l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12)*3\/6 + 0. Which is the closest to 9? (a) -2 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 6*a**2 - 5*a + 17. Let t be f(-7). Let q = -1 - 1. Put t, -31, q in decreasing order.\nAnswer: t, q, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69181359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f**3 - f**2 + f + 1. Calculate p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1490 = 4*d - h + 3*h, -3*d + 5*h = -1150. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -21, -2\/9, 0.1, -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**3 + 28*d**2 + 7*d - 69. Let l(z) = 37*z**3 - 84*z**2 - 20*z + 205. Let t(f) = -17*c(f) - 6*l(f). List the prime factors of t(27).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**2. Let z(r) = -156*r + r**2 + 156*r. What is -m(b) - 12*z(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 747082 and 170?\nAnswer: 3735410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55509 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178311.\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 + 4*p - 2. Suppose 0*a - 8 = -4*a. Let c(t) = 2*t**2 - 3*t + 0*t + 1 + a*t**2 + 0. Calculate 4*c(w) + 3*y(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4856 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-123)\/205*50\/(-6). Solve 0 = q + x, -2*q = 113*w - 118*w + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 259, 725, 1415, 2329, 3467, 4829?\nAnswer: 6415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.74 - 1.6. Let k = i - 4.14. Sort 0.1, 0.4, k in ascending order.\nAnswer: k, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 127*t**3 + 115*t**3 + 0 + 1 - 6*t**4 to the form s*t + f*t**3 + y*t**2 + x + g*t**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.819 - -3.6. Let h = o - 37.781. What is the nearest to h in -5, 3\/5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001798 to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 17*l - 48. Let r(b) = 2*b**2 + 32*b - 96. Let y(u) = -11*p(u) + 6*r(u). What is the smallest common multiple of 87 and y(-11)?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y - 17867 + 3*y + 17895 + (-1 + y + 1)*(-1 + 0 + 2).\nAnswer: -13*y + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*t, t = 4*x - 15. Suppose -4*g = 2*z - 53 + 7, -x*g - 2*z = -35. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15. Suppose 0 = -4*j - a - y*a, j - a = 0. Suppose -3*f + 247 = -j*f - l, 0 = -l + 2. What are the prime factors of f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 5*t + 3. Let o = -26 + 30. Let x be s(o). Let c(p) = -3 + 2*p + 4 - x. Calculate c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19958779097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6*f + 128 = 0. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 92. Let r be t\/(-18)*-3*1. Let u(x) = 6*x**3 - 2*x**2 + 8*x + 8. Let k(l) = -4*l**3 + l**2 - 5*l - 5. Let s(j) = r*k(j) + 5*u(j). Factor s(a).\nAnswer: -2*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 90 = 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/170286 and 17\/2611052.\nAnswer: 7833156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n*t**2 + 32*n*t - 67528*n + 896*t**4 wrt t?\nAnswer: 2*n*t + 32*n + 3584*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 309, 724, 1319, 2100, 3073, 4244, 5619?\nAnswer: 7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**3 - k - 1. Let o be s(-1). What is the second derivative of -o*v**2 + 0*v - v - 10*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i. Let y be n(1). Suppose -622*f = -636*f + 14. Suppose 5*a = g - 21, 8*a + 25 = 3*a. Sort f, g, y in increasing order.\nAnswer: g, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 38. Suppose 5 = 5*c - t. Suppose c*q + i - 3*i = 3133, 0 = -q - 5*i + 1033. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*4\/(-85)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -528 + 592. Let z = 201 - k. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let w be m*(-2 + -1 - -1). Let j(o) = o**3 - 8*o**2 + 11*o - 36. Let t be j(7). Is t equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5\/7 - 190*h**4\/7 - 270*h**3 - 3040*h**2\/7 + 9704*h\/7 + 11040\/7 = 0.\nAnswer: -69\/2, -10, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/((-23205)\/(-34)) + (-1433)\/35.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - r + 2*r)*(2 + 5 - 5)*(-r - 4*r + 3*r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**3 + 7*l**2 - 11*l - 2. Let p(f) = 4*f**3 - 4*f**2 + 5*f + 1. Determine 3*m(w) + 5*p(w).\nAnswer: -4*w**3 + w**2 - 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -195*o + 1. Let k(c) = -c**2 - 13*c - 13. Let l be k(-12). Let w be g(l). Suppose -u + 5*u - w = 0. What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/516032 and 31\/15424?\nAnswer: 124363712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12138047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)\/h**(2\/7))\/((h*h**(-1\/7))\/(h**(1\/3)\/h)))\/(((h\/(h*h**(2\/3)*h))\/h)**(-25\/2)\/(h**(-4\/5)*h*h\/(h*h\/(h**6*h))*h)) assuming h is positive.\nAnswer: h**(-2969\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -502.2261 and 0.13.\nAnswer: -65.289393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1173017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293 - -288. Let z(k) = k**2 + 3*k - 4. What is z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2579142*g - 5*g**2 - 2579142*g + 5*g**2 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.222 and -0.12?\nAnswer: -0.50664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 9*k - 120. What is the remainder when k is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -624.27 + 624.26748671. What is q rounded to five dps?\nAnswer: -0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6017.099 decades in millennia?\nAnswer: 60.17099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 3 - 443*l - 597*l + 862*l to the form q*l + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -24. Let q = -4.0165 + 0.0165. Put -3\/2, q, i in increasing order.\nAnswer: q, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:15 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*q - 10718 = 43050, -5*r + q + 89644 = 0. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 238 in -0.3, -7, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*c + 13 = 0, 6*a + 2*c - 2 = 2*a. Suppose a*m = -2*m + 65. Calculate the remainder when 37 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32858.9 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -16. Let n = 8 + u. Solve 3*t - n*v = 31, -3*v = t + 2*v + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -2, -4, -1\/4 in decreasing order.\nAnswer: 8\/7, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2736) + -3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62498156?\nAnswer: 2, 7, 47, 47491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/244557021 and 34\/27.\nAnswer: 2201013189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:46 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 9101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*z + 14*z. Suppose -2*l + 102 = 2*l + 5*k, 0 = -l - z*k + 22. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 14*y + 52. Let r be -2 - (4 - (4 + -8 + 16)). Let x be p(r). Sort 2, 3, x, -1 in descending order.\nAnswer: x, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q + 6*q - 243*q**3 + 8*q - 10*q + (-2*q + 0*q + 4*q)*(2*q + 2*q**2 - 2*q) + q + 2*q**3 - q - 6*q + 2*q**3 + 6*q.\nAnswer: -235*q**3 + 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)**17\/(p**(-2\/3))**(-1\/9) assuming p is positive.\nAnswer: p**(916\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**4 - 38*y**3 - y**2 + 21 wrt y.\nAnswer: -96*y - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 4*t**2 - 2*t - 1. Suppose -5*s - 29 = 2*f - 4*f, -5*s = 2*f + 21. What is u(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -67209.\nAnswer: 2\/67209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:53 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - b + 11207, -33*b = 4*z - 35*b - 8974. What are the prime factors of z?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*u + 7, 11 = 10*u - 13*u - k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-70 + 59 - (14\/7 - 23)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 + 3*z**3 - 3*z**3)*(-16*z + 9*z + 9*z - 96) as i*z**2 + f*z**3 + h*z**4 + j + b*z and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 5. Let p be 6\/(o + (-10)\/4). Let l(r) = 3*r + 3. Determine l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5648 by -17.\nAnswer: 5648\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -144*i**2 + 66*i + 16. Let r(c) = 29*c**2 - 13*c - 3. Let k(m) = -3*n(m) - 16*r(m). What is the second derivative of k(j) wrt j?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/9 - -46\/63. Let c = -10 - -6. Let i = 77 - 77.2. What is the third smallest value in s, i, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20)*-2)\/(1\/8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -1532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38408537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 6*g - 5. Let q be b(4). Let i be 2\/3*q\/(-13). Let w(k) = -k**2 + 12*k + 4. Let n be w(12). What is the third biggest value in n, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 - 31*f**3\/6 - 24*f**2 + 62*f. Does 13 divide d(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3779893 and 4.\nAnswer: 15119572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 1. Let g be l(3). Suppose -x - g*x + 36 = 0. Let k = x - 5. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxpxpxx. What is prob of picking 1 g and 2 x?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*i**3*w**4 - 2*i**3*w**2 + 29*i**3*w wrt w.\nAnswer: 2448*i**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 18 - 178 = 0. Calculate the lowest common multiple of y and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11.37 (b) -8 (c) 1 (d) -0.3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6165 - 2497. What are the prime factors of y?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*u**2 - 50*u + 100*u - 3*u**2 + 69*u - 3*u**5 wrt u?\nAnswer: -60*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003657 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 289 (b) -150 (c) -0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/3 and -101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 290*q + 302. Let r(d) = -143*d - 151. Let w(i) = -5*r(i) - 2*u(i). What is the first derivative of w(n) wrt n?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 1. Let v(r) = r + 23. Let i(a) = 6*b(a) + v(a). Let f be i(-1). Put -4, f, -28 in ascending order.\nAnswer: -28, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ljljjjjjjl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 - 2*h + 13. Let u(y) = 17*y**2 - 5*y + 40. Determine -11*r(a) + 4*u(a).\nAnswer: 2*a**2 + 2*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-15 - -22) - 18.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (8 - (-10 - -7)) + (2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*a - 475*a = -17520. What are the prime factors of a?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n - 7\/60*n**6 + 0*n**3 + 4 + 22\/15*n**5 + 4*n**2 + 0*n**4. What is the third derivative of p(w) wrt w?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 5*v**2 + v + 6. Let r be l(-5). What is the units digit of (-1)\/r - 21\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 + 21*u - 72. Let d(n) = n**2 + n. Let y(o) = 3*d(o) + m(o). Factor y(k).\nAnswer: -2*(k - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 5) + -14 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287029?\nAnswer: 31, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/29? (a) 351 (b) -53 (c) -2\/3 (d) -0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 7650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsl when three letters picked without replacement from lrtls.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -926790 divided by -5?\nAnswer: 185358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/17 + 54*u**4\/17 + 1514*u**3\/17 - 16078*u**2\/17 + 44688*u\/17 - 30176\/17 = 0 for u.\nAnswer: -23, 1, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -23600 at least -23603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(539) + 3*(-1*sqrt(539) - sqrt(539) - sqrt(539)) - -6*sqrt(539)*-1) + 3 + -2)**2.\nAnswer: -196*sqrt(11) + 105644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 2*t + 7. What is the greatest common divisor of 11 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 14*u**2)*(3*u - 4*u + 3*u) - 172*u**3 - 138*u**2 + 138*u**2.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose 0 = 2*g - 4*b - 10, -g + 50*b - 47*b + 10 = 0. What is the third biggest value in g, 0.5, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -102. Let r be ((-3)\/2)\/((-3)\/b). Solve -r*z + 8*z - 2*q = -19, -2*z + q - 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1123\nAnswer: 8\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**2 - 11*f - 15. Let g(r) = -r**2 + r. Suppose 4*x - 24 = -0*x. Let w(b) = x*g(b) + n(b). Is w(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 153.2966 and -53.992.\nAnswer: 99.3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from vvvfmfvvfvvfffmvfvf?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/110 and 64\/3?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 2*o + 2*o + (1 + 4 - 6)*(-8*o - 92 + 92) + 0*o - o + 0*o + (-1 + 4 - 4)*(2*o + o - 2*o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22 + b**2 - 3*b - 97 - 8*b + 7*b. Let a be z(11). Let n(r) = -r**3 - 7*r**2 + 3. Let j be n(-7). Solve j*f = a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 94816.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + 2) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/14 + 7*h**6\/24 + 3*h**5 + 25*h**4\/6 - 1480*h**2. Find o, given that l(o) = 0.\nAnswer: -2, -2\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-4*21\/(-30))\/(28\/(-70))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {m: 5, o: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 + 8 - -11)) + (77 - 68)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -3\/8, -1\/5, -95\/26, 4?\nAnswer: -95\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 8*s - 2*s. Let a be q(-4). Let i(w) = -11*w**3 + w**2 - w - 1. Let o be i(-1). Calculate the highest common divisor of o and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 43 = 2*l, 575*l + 10 = -2*d + 1154*l - 578*l for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -322 times -0.26\nAnswer: 83.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 13*l**7\/42 - 8*l**6\/3 - 4391*l**3\/6 - 1426*l. Find the second derivative of r(i) wrt i.\nAnswer: 260*i**3 - 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 10*z**2 + 4*z + 16 = 0. What is z?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 268, 454, 640, 826?\n\"Answer: 186*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-3 - 17)*9 - (1 + -62 + 4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1*(-1)\/(-3)). Suppose -4*x - 4*y = -y - h, -x = 5*y + 19. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from {e: 2, t: 7, y: 1, b: 1, o: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5749 + -5745. Which is the nearest to 2? (a) -2\/3 (b) i (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2870150 is divided by 61067.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 22 = 4*k, 288*k - 329*k = -2*w + 180 + 158 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -904 divided by -904?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -467106 take away 900638?\nAnswer: -1367744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(-3)*-1*(-9270)\/309.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22824 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 15. Let f = o - 34.061. Round f to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = g + 9, -x = -4*g + 3*g - 4. Suppose 25 + x = q. Suppose -11 - 3 = 3*f - 5*k, -5*k + q = -5*f. Which is the biggest value? (a) 0.4 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3398, -7008, -10622, -14240, -17862?\n\"Answer: -2*y**2 - 3604*y + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 2*f**2 - 4*f**2 + (19*f**2 - 13*f**2 + 33*f**2)*(0 - 1 + 6))*(0*f + 2*f + 3*f) + (1 - 1 + 2*f)*(-3*f**2 - f**2 + 3*f**2).\nAnswer: 983*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) -66 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + z - 51, -4*j + 8*z = 3*z - 57. Suppose 17*h - 38 = j. Let v be (-2)\/3*-2*(h - 0). What is the greatest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*q = -8*h + 10, 3*q + 20 = 2*h. Solve -3*m = -5*v + 25, 4*m + 13 = 4*v - h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**2. Let v(s) = -100*s**2. Calculate q(v(z)).\nAnswer: -80000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (6 - 4) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 251?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 24 = -v + 7, k + 2 = -4*v. Let j be ((-2)\/(-5))\/(2\/10). What is the greatest common divisor of j and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/6)\/(12\/(-24)))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5259 = -8*f - 5*l, 2*f - 2662 = 4*l. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {r: 1, u: 1, b: 3, x: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/60 (c) 2212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 247.91637466 from -3.\nAnswer: -250.91637466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576790287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 12*i - 31. Let d(a) = -2*a**3 - 7*a**2 + 23*a - 57. Let f(k) = 6*d(k) - 11*y(k). Determine f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -149204028017.\nAnswer: -149204028018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-133)\/49 - 2\/7. What is the nearest to 0.1 in 8, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2530 and 18.3.\nAnswer: 46299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 7*m**2 + 7*m - 2. Let p be h(6). Suppose 0 = -k + p*k. Let q be (k - 15\/3)*-1. Solve -2*o - v = -q - 6, 19 = 3*o + 4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(5*1*sqrt(1573) - (sqrt(1573) + 1 + 4)))*3.\nAnswer: -132*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.54 + -0.104.\nAnswer: 20.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:09 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -4*u + 3*b - 6, 10 = 2*u + 5*b. Solve f + 8*j + 28 = 3*j, -2*f + 2*j + 4 = u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 5*o + 28, 4*o + 11 = -3*a. Suppose 0 = a*w + 2*w + 180. Let q = w + 60. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-702)\/675)\/(-13)*15.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.067, 0.5, -0.81 in decreasing order.\nAnswer: 0.5, 0.067, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -2*d, -7*s + 11*s - 22 = -5*d. What is the greatest common factor of d and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-12)\/(-48) - 14\/24). Factor 0*w**h - 2\/19*w + 0 + 2\/19*w**3.\nAnswer: 2*w*(w - 1)*(w + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 18*t**2 - 3*t - 5. Let n be y(4). Let o = n + 115. Solve 4*u + 3*z + 8 = 5*z, 12 = -o*u - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(99) - sqrt(11)))**2 + sqrt(44)*1*-6.\nAnswer: -12*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = 0. Suppose s*q - 110 = -5*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 0.1 (b) 49 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:38 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6)**(-32)\/(l\/(l*l\/(l*l**(-5\/2)))*l*l*l**(-14)*l))**(1\/86) assuming l is positive.\nAnswer: l**(-357\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22672759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -21. Let g be (3 + 2)*(-24 + v\/(-1)). Let r = g - -121. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 + 0 - 3*v**2 + 0)*(0 + 8*v + 0)*(-772*v - 586*v + 393*v) to the form o*v + f*v**4 + p*v**3 + u*v**2 + x and give f.\nAnswer: 7720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18958729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*m = 208*m + 26451 - 8755 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180209, 360467, 540755, 721073?\nAnswer: 901421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 16, 29, 2, 3 in decreasing order.\nAnswer: 29, 16, 13, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 + 189. Let b(a) = -a**3 - 6*a**2 + 6*a - 1. Let f be b(-7). Let h = -70 + 70.5. What is the smallest value in n, f, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 minus -211035.6?\nAnswer: 211028.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533589845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69163120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 8:24 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, -2.\nAnswer: -25, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + a8c87?\nAnswer: a8c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(21\/(-26)))\/((-57)\/(855\/200) + 14).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 10:42 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2204, -9363, -21454, -38477, -60432, -87319, -119138?\n\"Answer: -2466*z**2 + 239*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233464*u**6 + 24*u**3 - 1368688*u**2 + 11*u.\nAnswer: -28015680*u**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 3, 8, 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 31 = 25 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -4 - f**3 - 2\/3*f**6 + 0*f + 0*f**4 + 0*f**2 + 0*f**5. Find the third derivative of g(c) wrt c.\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 42. Let m be n(45). Let b(h) = m*h**2 + 11*h - 30 - 12*h + 32. Give b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15895\/340 + -46)\/(-5).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*b - 7 = 0, 0 = -16*z + 13*z + 2*b + 21 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 24*b**2 + 42*b + 30. Give f(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 at least -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 3*l + 1. Let q be m(-2). Let c be q*7*46\/(-322). Let p = -897 + 52921\/59. Is c >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(256)\/sqrt(8) + 3.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12001 + 27428. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27100836 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(432)*3 + -1)**2 - ((4 + sqrt(432) + 2 - sqrt(432)) + (sqrt(432) - (sqrt(432) + (sqrt(432) - (1 + sqrt(432))))**2) + -4).\nAnswer: 540*sqrt(3) + 15999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3518 = 3518 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -131*k - 12096 + 12706 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2\/9, 10770, 2\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 - 1 - 6*q**3 + q**3 + 8*q**3 + 2 as i*q**2 + n*q**3 + g*q + t + k*q**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1623 + 16?\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (72\/765)\/(152\/(-380))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -30.8. Let f = -0.1 - 0. Sort f, i, -3 in decreasing order.\nAnswer: i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 107*s**2 + 67*s - 503. Is 53 a factor of n(-101)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2)*m\/m**(-1)*m)**(-6) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6065333, 12130648, 18195963, 24261278, 30326593, 36391908?\nAnswer: 42457223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.986 + -0.014. Let m = -7 + 38\/5. What is the smallest value in m, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8*o + 259 = -7*o, -264 = -2*c + 4*o. Let i = c - 84. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-7 - -4) + 11 - (2 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31509.998 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z + 183. Calculate r(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.92 + 20. Which is the smallest value? (a) 1\/6 (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 - 11364 = -7*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 1471793365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5357676 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4587833 and 36\/399395?\nAnswer: 527600795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = 68*f - 54*f - 248 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782245\/11 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -26. Let q be 2 - 0 - 3 - -9. Calculate the greatest common factor of f and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 6:53 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a862 - 158?\nAnswer: -2aa0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1659918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 116 = 5*f - 0*d, 41 = -2*f + d. Let b = 18 - f. Suppose 5*p - b - 5 = 0. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109049610 divided by -1535910\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43\/4 - 309\/28. Let i = -193651 - -193653. Which is the second biggest value? (a) 51 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 182. What is the fourth smallest value in -0.5, 0.3, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1212 - -3?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6\/4)\/(15\/100))\/6. Let n = 1 - 0. Do a and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167 + 151. Let w(n) = n**2 + 16*n - 1. Let g be w(l). Let c be -1*(1 - (-10)\/(-12)). Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 249\/4, 2\/17, 0.2, -2, 1 in increasing order.\nAnswer: -2, 2\/17, 0.2, 1, 249\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**3\/3 - n**2\/3 + 5*n\/3 + 1\/3 = 0. What is n?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -87, -79, -69, -57, -43?\n\"Answer: k**2 + 3*k - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p + 3 - 4 - 3*p. Let o = 9 - 11. Calculate t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 288807730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/2 - ((-8)\/(-5))\/(134\/(-1005))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695815?\nAnswer: 5, 317, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -q - 313, -l + 116 = -0*q + 2*q. Let i(j) = 2*j**3. Let n be i(1). Suppose n*x - 494 + l = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - (8 - (-1 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:52 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*z**6 - 11969*z**5 - z**3 + 10524346*z**2 wrt z?\nAnswer: -5760*z**3 - 718140*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009680233055 rounded to five dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*i + 7*i - 4950, 0 = v + 4*i - 1658. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -15. Let z = n - 4.6. Which is bigger: 0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 13) to base 2\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**11*r*r*r**(3\/2))**(5\/13)\/((r**(-1)\/r*r)**(2\/11)*(r*r*r**2\/r)**(-20)) assuming r is positive.\nAnswer: r**(19027\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**3\/q)*q*q*q)**(1\/8)\/((q\/(q\/(q*q**(-2\/33)*q)))\/q)**45 assuming q is positive.\nAnswer: q**(-3687\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {j: 2, t: 1, h: 3, o: 3, d: 4, w: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-30756)\/1864)\/(3\/6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 31*i**2 + 24*i - 834. Give z(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -405?\nAnswer: -4\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.1 (c) -0.812 (d) -2 (e) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 672 + 136. Suppose 52 + a = 4*l. Does 26 divide l - -3 - 1*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j - 9. Let d(k) = k + 2. Let p(z) = 9*d(z) + 2*v(z). Let a(y) be the first derivative of 0*y + 20 + 0*y**2 - 10\/3*y**3. Determine p(a(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7617 - -293. Suppose 7*a + h = -0*a. What is a rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*d + 37, 5*d - 3*d - 340 = 6*d - 40*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-2)*1 - -3. Calculate the common denominator of 81\/8 and (-2)\/o*255\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let v = -8 - j. Let c = v + 21. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17681\/22 + -803. Let s = -97900 + 3132797\/32. What is the common denominator of s and t?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84088*z**2 + 84088*z**2 - 20*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7264 + 7264 + 35*q**2 + q in the form b*q**2 + i*q + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11185 - 11184.999634. What is p rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 3 + 1 - 91706*w**2 - 3.\nAnswer: -91706*w**2 + 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 60. Suppose 5*g - 2*v = -0*v - 227, 3*v = -3*g - 132. What is the common denominator of (-310)\/g*(-3)\/4 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 0.1, -1, 0.06, -1\/21, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -103501343 (base 6) to base 4\nAnswer: -13011303333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 14. Let p be j(4). Let k be 1 + (p - -2 - -4). What is the closest to k in 0.5, 1\/11, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 15\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-28)*(11 + -1). Suppose -5*w + 35 = b*r, -4 = 3*w + 5. Suppose 2*l - r = -0. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -2\/27 (c) -5 (d) 212 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89904972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -69620, -69049, -67496, -64469, -59476?\nAnswer: -52025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:22 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 - 51723050.\nAnswer: -51723050.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 359.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (5 - (2 + -4))) + 3 - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 - 40*t = 0. What is t?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 61685?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-28)*7938\/1701?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 21 = 4*q - 5, 0 = 4*q - 3*n - 31. Suppose 3*g = 5*g - 24. Calculate the remainder when q is divided by ((-2)\/(-4))\/(2\/g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 28?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1953*n**3 - 1146*n**3 - 3*n + n**2. Let j(g) = g**2 - 6*g + 9. Let a be j(2). Let y be l(a). What is y rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5780 - -6915. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + 4*g + 53. Let h(w) = w**2 + 2*w + 15. Let m(t) = -2*h(t) + x(t). Let y(b) = 144*b**2. Determine m(y(i)).\nAnswer: 41472*i**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -31, 5.25, 3, -3 in ascending order.\nAnswer: -31, -3, 2\/19, 3, 5.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7320 - 7319 + 21964 + k**2 + 7*k**2 - 7325 + 116*k**2.\nAnswer: 124*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.21, 0.5, -0.03 in ascending order.\nAnswer: -18, -0.21, -0.03, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 2, 0.4, 18.1 in decreasing order.\nAnswer: 18.1, 2, 0.4, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {f: 1, m: 1, k: 1, n: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -29c67 (base 16) to base 11\nAnswer: -107616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10) + (11 - (5 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*q = 2, 2*m - 2 = 3*m + 5*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(119\/35 + -5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 11}. What is prob of picking 2 g and 2 l?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 37*l - 35 = -35*l, -84 = 4*j + 12*l for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 36 = 4*u, u = -u - 5*y + 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 0*g**2 + 2*g**2 - 2*g**2. Let i(o) = 14*o. Determine i(n(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661560391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*n = -136*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 183*k**2 - 4814304*k + 2448066816.\nAnswer: 3*(k - 752)**2*(k + 1443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 226*n**3\/3 + n**2\/2 + 93*n + 11. Let m be l(13). Round m to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/19 + 1*-1. Let t = 276323\/57 - 4849. Let f = t - i. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118, -245, -370, -493, -614, -733?\n\"Answer: s**2 - 130*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 718865?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z + 0*z + (3 - 5 + 1)*(-3*z + z - z) - 3 - 50*z + 31*z + 24*z.\nAnswer: 9*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let s(g) = 987*g - 2. Give i(s(u)).\nAnswer: -987*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/12240 and -101\/432.\nAnswer: 36720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4223533577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -9, -10, -31, -78?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let n(f) be the third derivative of f**8\/1260 - 13*f**5\/30 - 76*f**2. Let i(g) be the third derivative of n(g). What is i(t(h))?\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70319111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 + 6*b**2 - b + 3. Let z be 7 - 3\/((-3)\/2). Is 20 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5902465.4000006 - -5902466. Let s = -0.6 + t. Round s to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 11*t**2 - 10*t + 4. Let p be z(-10). Suppose -3*r + 6 = 21, -p*y + 95 = -3*r. Let d(u) = y*u + 3 + 19*u - 40*u. Determine d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 145\/7 and 22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4 - 1956783*g - 48938925 wrt g.\nAnswer: 4*g**3 - 1956783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5. Let z(w) = -w**3 - 3*w**2 + 19*w + 6. Let b = -49 - -90. Let h = -47 + b. Let o be z(h). Calculate j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 209?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3*z - 2. Let u be f(-5). Suppose o = 3*o + u. What is the units digit of o\/(-8)*(4 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 5*p + 9. Let u be 15\/6*(0 - 2). Let q(f) = -f + 1. Let h(i) = u*q(i) + l(i). Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1166, 1502, 2056, 2828?\nAnswer: 3818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 0*c = 30. Solve -5*x + 6 = c*p - 9, 0 = x - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-11\/2)*(r\/(r**(2\/3)*r))\/r**(1\/7) assuming r is positive.\nAnswer: r**(197\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55678\/(-194) - -259) + 482\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m = 216. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 45541*r\/2 + 2073982681\/4.\nAnswer: (r + 45541)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, y: 1, r: 5, h: 5}. Give prob of picking 1 m, 2 r, and 1 h.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {i: 3, e: 4, k: 2, s: 4, x: 6, g: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 20*n**4 + 9*n**4 - 7*n**4 - 6 wrt n?\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407943 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -6*1) + 2. What is the highest common factor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4) + (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 18591100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109481 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25*l + l + 1 - 7*l.\nAnswer: 19*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -k - 2*t, -k + 14 = 3*k - t. What is the smallest value in 7\/3, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as -70834\/2369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -8*s + 1960. What is the greatest common factor of 35 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 + 6*o + 10. What is the hundreds digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 2. Let z(t) = 2*t - 5. Let k = 65 - 65. Let l be 45*2\/18*3 + k. Suppose 0 = 7*j - 2*j + l. What is j*z(m) - 7*i(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 + 363. Let y(s) = -5*s + 251. Let r be y(x). Solve 3*p - 6*t = -t, r = -3*p - 2*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 92\/3*k**3 + 7*k**2 - 1\/15*k**5 + 0*k + 15\/2*k**4 - 2. Factor x(i).\nAnswer: -4*(i - 46)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45564, -45411, -45258, -45105, -44952, -44799?\n\"Answer: 153*y - 45717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -6 - -8 - 5 - ((-21 - -42) + -16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (17 - -9 - -35)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(17) - (sqrt(17) + -2 + sqrt(17))) + -4)**2.\nAnswer: 14*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 459140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86986, -87981, -88990, -90019, -91074, -92161, -93286?\nAnswer: -94455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 495, 747, 1001, 1257?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492572*p**2*r - 2*p*r + 259504*r wrt p.\nAnswer: 985144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 4*x - 4*x + 2 - 2 - x + (-1 + 0 - 1)*(-3*x + 2*x + 0*x) - x + x - 2*x - 5*x - x + 2 - 4.\nAnswer: -12*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 5*o**2 - 1\/6*o**4 + 0 + 1\/10*o**5 + 1\/420*o**7 + 0*o + 0*o**3 - 1\/40*o**6. Find a, given that u(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0252 + 9.9748. Is a at least 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4216 divided by 4?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112045263*d**3 + 105131056 wrt d.\nAnswer: 336135789*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -795, -3, 366.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 17 - 40 + 57. Suppose f + 2 = 4. Let r(t) = -t - 5. Let m(n) = -4. Let l(v) = 5*m(v) - 4*r(v). Determine f*l(q) + 6*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*d - 3*q - 2*q, 70 = 5*d + 5*q. Is ((-24)\/(-10))\/(d\/120) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, 4\/31, 3\/4, -0.3, 906.8?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-22)\/231*14\/1*(-3)\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**(-1\/13)\/(z**(-7)\/(z*z**(-1\/3))) assuming z is positive.\nAnswer: z**(589\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 128*b + 880.\nAnswer: 4*(b - 22)*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 280\/46 - 124\/1426. Let i(c) be the first derivative of 0*c + 2\/3*c**3 + 1\/3*c**l + 2*c**2 - 3\/2*c**4 - 2\/5*c**5 - 1. Factor i(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61125 = -3*x + 47549 - 33770. What are the prime factors of x?\nAnswer: 2, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) 19\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 10, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/242896 and 5\/3008?\nAnswer: 971584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*q - 10, 3*q - b + 1 = 7. Suppose 0 = -q*i - 2*m + 7*m + 89, -38 = -i - 4*m. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) -2\/3 (b) 0 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27280*g**4 - 2*g - 24389484.\nAnswer: 109120*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -74) + -53 - (1 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*33*(10\/(-8))\/(1605\/(-1498))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/308 and 37\/55426168?\nAnswer: 609687848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1508 - 1.26.\nAnswer: 1506.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhhinnnnkkkkkihinbkk. What is prob of picking 2 h and 2 b?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 3*b**2 - 2639*b**3 + 3*b**2.\nAnswer: -2639*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let t be 0\/(-6) + a\/(-1). Let r(d) be the third derivative of -d**4\/12 - d**3\/3 + 116*d**2. What is r(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166812 is divided by 2414?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-8) + 45\/60. Let a(q) = q**2 - 3*q - 8. Let c be a(f). Calculate the remainder when 95 is divided by -14*(-2 - -1) + 4 + c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144770809.\nAnswer: 23, 43, 146381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22782*c - 22800*c = -72 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 28424?\nAnswer: 142120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 + 11*f - 4. Let i = 111 + -101. Calculate j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0*m**4 - 3 - 2*m + 1\/60*m**6 + 1\/84*m**7 + 0*m**3 + 0*m**2 + 0*m**5. Factor g(k).\nAnswer: k**4*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3074 and 49\/848.\nAnswer: 24592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404655799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -39300 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-4)*(-8264)\/3099\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -4, -49, -1, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + 13*l + 13. Suppose -10*s + 9*s - 37 = 5*v, -v - 6 = 0. Let p(m) = m**2 - 6*m - 6. What is s*p(g) - 3*w(g)?\nAnswer: 2*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886947550 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403233642 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-8)*1\/2. Suppose m = n + 33449 + 92551. Round n to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01518236433 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/((-65)\/(4550\/196))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - 70624879\/(-3420627). Let y = -364\/8573 - b. Let h = y - -280\/19. Calculate the common denominator of h and 14\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8174890*i**2 + 11194801 wrt i?\nAnswer: 16349780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.75 + -430.75. Let q = -446 - v. Is q bigger than -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 3*h - 8*h + 24*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000041538 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11160 divided by 21?\nAnswer: -3720\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13555 (base 9) in base 6?\nAnswer: -110335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 6*j - 6. Let x = 1240 + -1241. Sort j, -0.1, x, -12.\nAnswer: -12, x, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -33*d**3 + 9*d**2 + 7*d + 1. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/12 + l**3\/6 + l**2\/2 - 2*l. Let n(v) = -8*v**2 - 12*v - 12. Give -12*a(d) - n(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 - (-5 + 9 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 588\/84 + 16\/(-11) - 5\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by -98.\nAnswer: -267\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12520, 5, 2.\nAnswer: -5, 2, 5, 12520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 527512 = -q + 69690, -30 = -5*q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21101250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, 1, 4.7, -1\/11 in descending order.\nAnswer: 4.7, 4, 1, -1\/11, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 2802542?\nAnswer: -2802537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -1547747?\nAnswer: 1547763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44412.4656 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4037387.\nAnswer: 313, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/128613 or 1?\nAnswer: 98\/128613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1812*w**3 + 533*w**3 + 748*w**3 - 3252*w**3.\nAnswer: -3783*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.905 in -2\/3, 1\/3, -1, 2\/9, -0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 2, g: 10, k: 3}. What is prob of sequence pg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 6 - 4 - -6) + (-4 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/2251 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, j: 7}. What is prob of sequence jbj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/(-75)*(-50)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + (2 - -22)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = 5*q - 15, 0 = -5*q + f - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2597.83 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -13*j + 518. Suppose -742 + j = -4*i. List the prime factors of i.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59891628 a multiple of 2458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*sqrt(1100) + sqrt(1100))*-6*5 + (-2 + sqrt(1100))*-2 + (0 + sqrt(1100))*-1)*-5)**2.\nAnswer: 864000*sqrt(11) + 320766400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 - 6*n + 2. Let d(y) = -y**3 + 5*y**2 - 11*y + 5. Give -2*d(c) + 5*i(c).\nAnswer: -3*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -208, -422, -722, -1108?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 102*l + 1. What is o(1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*w + 98, -68 = 8*g + 156*w - 158*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -54159271\/952 + 56890. Calculate the common denominator of y and 89\/14.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(847) + sqrt(847)) - ((sqrt(847) + 0)*1)**2 - (sqrt(252) + 5 - (sqrt(847) + 1 + sqrt(847) + sqrt(847)))**2.\nAnswer: -5966 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 2)*(-8*v**2 - 5*v**2 + 2*v**2) + (0*v + 0*v - 2*v**2)*(5 - 2 - 4) - 7*v**2 + 0*v**2 - 6*v**2 in the form g + h*v + b*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78010 and 15370?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169\/135 + 11\/135. Find s such that -2\/3*s**2 + r*s + 2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 + q + 7. Give u(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-12 + 15)*1\/3. Suppose 2*r - 3*r = -x + 1, 5*x - 14 = t*r. Solve -2*y - 4 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xxooauauu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p + 3. Let z(o) = -18*o - 104. Let s(x) = v(x) - z(x). Give s(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -5, -135, -1, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -417890 divided by -208945\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 < 24064\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 28854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*a - 30. Let j = a + 6. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 104*l - 7468. Give m(49).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (0 - 2) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*j**3 + 4)*(2*j**2 - 5*j**2 + 2*j**2) + 5*j**5 + 9 - 9 + (-3*j**2 - 3*j**2 + 5*j**2)*(j**3 + j**2 - j**2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 649, 677, 737, 841?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let f(w) be the first derivative of 94*w**3\/3 + w**2 + 2*w - 9233. Give f(r(m)).\nAnswer: 376*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*w = -7084 + 2059 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100323 (base 4) in base 14?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 6*l = 0. Suppose 0 = -4*a + u + 175, 3*a - 3*u - 129 = -l*u. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, -3*c + 185 = 2*c + 4*n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1 + 5*l + l - l + 0*l - l**2. Let r be n(5). What is the first derivative of 0*x - 2 + r - 3*x wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.6 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -147, -277, -407, -537, -667?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*g + 184, -2*g + 40 = -4*s - 52. Let z = g - 24. Calculate the greatest common factor of 429 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.084367\nAnswer: -0.584367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) 4 (c) 1280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.064 - -1.1. Let d = i - -0.191. Round d to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/10, -0.3, 3.51 in decreasing order.\nAnswer: 3.51, 1\/2, -1\/10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 12*o + 8. Let n = -221 - -224. Suppose -2*v + n*v - 13 = 0. Give r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g**4 - 46*g**3 - 90*g**2 - 18*g = 0. What is g?\nAnswer: -1, -3\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l + 6 = 0. Suppose 3*z = -3 - l. Let b be (z\/5)\/((-5)\/150). Solve -5*a = -a - b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5785574?\nAnswer: 2, 2892787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-24) - (-17)\/4. Suppose 0 = -d*q - 10 - 6. Let z = -10 + 15. What is the biggest value in z, q, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 11 + 204*m - 190*m - 31. Give t(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 1016 = 42*w - 268. Solve 46*p - w*p = -98 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28554593, 28554595, 28554597, 28554599, 28554601, 28554603?\n\"Answer: 2*r + 28554591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:30 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/8)\/(1603*8\/2016). Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1606300720 and 6960?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*v - 3 + 1221*v + 3.\nAnswer: 1604*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + -1110?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -53648.\nAnswer: -3\/53648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 10*b - 600. Let q = b - -129. Let x = 34 + -28. Calculate the remainder when q is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 186, 278, 366, 450?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56634)\/(-14) + (-20)\/70 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5339 + -2862. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180342 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4769019247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from {j: 3, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -424*j - 39872. What is b(-94)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 119. Calculate the remainder when w(0) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(6 + -1)*19800. Round d to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.683 times -0.024106?\nAnswer: 0.185206398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:44 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 2. What is the remainder when 53 is divided by k(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 6 - 2 - 8*a - 7*a**2 + a**3 + 0. Let b be v(-6). Suppose f - b*f + 485 = 5*w, -2*f = 4*w - 388. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -455 or -202401\/445?\nAnswer: -202401\/445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - -8a?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -2*l - 2*l, -3*l = -s - 4. What is the third derivative of 4*y**2 + 2*y**2 - 29*y**3 + 24*y**3 + y**l wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -22. Suppose 0 + 12 = i*n. Suppose 3*f = -3*z + 108, 5*f = 5*z + 55 + 95. Solve -2*t = 2*v + 18, 5*t + n*v = -f - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1522 and 2?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674.8 plus 5.3343?\nAnswer: 2680.1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.058 - -0.058013. Round r to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c)**17*(c*c*c\/(c**(2\/7)\/c)*c)\/c**(4\/7)*(c**(1\/4)*c)\/c**(-1\/6)*(c**(2\/7)*c)\/c*c*c*c**6 assuming c is positive.\nAnswer: c**(6821\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.494 rounded to 0 dps?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + sqrt(343) + 0)**2 - (sqrt(168)\/sqrt(3))\/sqrt(8)) + (sqrt(7) + 1)*-5 + sqrt(14)\/sqrt(8).\nAnswer: -11*sqrt(7)\/2 + 1367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -2*j, 3*i = -i + 5*j + 12. Suppose 2*f - 4 = -3*l, i*l = -4*f - f + 28. What is the remainder when 22 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4098*g - 37. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.039 + 0.161. Let i = y + -0.5. Let n = 53.1 - 53. What is the nearest to n in -5\/3, 1\/9, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2, 163, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 127. Let w be (380\/40)\/(3\/6). Let i be l(w). Is -271\/3 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*m**2 + 3*m - 100*m**2 - 19*m.\nAnswer: -m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4))**47\/((i*(i\/i**0)\/i)\/(i*i\/((i*i**(-6)\/i)\/i)*i*i)) assuming i is positive.\nAnswer: i**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -4*z + 6*b = 11*b + 1372. Let s = 388 + z. Is s a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.7 + 80.95. Let m = -2.6096 - a. What is m rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 16. Let w be (-222)\/(-30) + (-4)\/10. Let t(c) = -3*c + 2 - w + 4*c. Give t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k**2 - k**2 + 1759*k**3 + 8*k**2 + 7*k**2 + 2*k**2 in the form q*k**3 + x*k**2 + g + c*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-4 - (-1 + -4)). Let h = l + 14. Let n = -25 - -35. Solve j - 2*v = 6*j + 16, -h*j = 5*v + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 8*u + 50. Calculate the highest common divisor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*g + 18 = 2*g, 0 = -q - 4*g + 8. Let r be (-4)\/10 + 2\/5. Let y = r + 0. Sort q, y, -5 in decreasing order.\nAnswer: q, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q. Suppose q = -3*d + 8*d - 50. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (7 - -24 - 57) + -4 + -7\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5225 and 270655?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20371 and 1144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhh when three letters picked without replacement from hhl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 643787.1l?\nAnswer: 643787100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14639 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 2*v. Let s(h) = -6*h + 3 + 2*h + 7*h. Let m(q) = -6*q - 7. Determine v*s(r) + 3*m(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76790 and 3831821?\nAnswer: 38318210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(144)*4 + sqrt(144) + sqrt(144))\/sqrt(4))\/((sqrt(12) + (3*sqrt(12) - sqrt(12) - sqrt(12)))*-6).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27300 and 288?\nAnswer: 655200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 1, n: 1, v: 1, t: 5}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/((p\/p**(-6))\/p*p)*p))*p**4\/p)\/(p**(-2\/3))**(-9\/7))\/(p**(-5\/4)\/(p\/(((p\/((p*p**1)\/p)*p)\/p)\/p))*p**(-1\/5)*(p*p**4)\/p) assuming p is positive.\nAnswer: p**(-477\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let q(y) = 5712*y**2. Calculate q(w(k)).\nAnswer: 5712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + c - 8 + 58 = 0, j + 369 - 291 = -2*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4303*h - 279691. Determine n(-65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31894*c*l**3 - 5*c - 4575*l**2 wrt l.\nAnswer: 191364*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 223, 5, 8, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1.193\nAnswer: -3.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3124413 (base 6) to base 12.\nAnswer: -73709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19541981651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -4264?\nAnswer: 5\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1256803242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 995 to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + 16*c - 62. Let u be a(4). Solve m - 3 = 28*f - 30*f, u*f = 3*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.806 + 2.43. Let d = a - -4.376. What is the second biggest value in d, 0.2, -40?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, 0.07, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6506.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*y + 25, -27 = y - 2*y - 5*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228794 and 16402?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -27*q**3 - q**2 + 7*q + 7. Let d be ((-79)\/79)\/((-1)\/(-6)). Let c(h) = -26*h**3 - h**2 + 6*h + 6. What is d*y(a) + 7*c(a)?\nAnswer: -20*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 2*s - 0, 5*s = -5*x + 15. Suppose 3*r - x*z = 10 + 6, 3*r + 2*z = 20. Solve 3*f - r = k - 0, 3*f + 2*k = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5043 or 5044?\nAnswer: 5043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -b + 4, 2*v - b + 5 + 2 = 0. Let w = 3 - v. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 7*u + 5. Let g be j(-7). Suppose 5*h - 255 = -g. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1. Suppose 4 + 4 = 2*c. Let t(j) = -2*j - 4. Suppose -5*d + 3*d - 32 = 0. Let n = d + 17. Give c*l(o) + n*t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 332*s + 294. Let q(n) = 3*n + 1. Let t(f) = j(f) + 10*q(f). Differentiate t(m) with respect to m.\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 38*k**3 - k**2 - k + 2. What is s(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odod when four letters picked without replacement from {o: 11, d: 2, x: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 18?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 250*q**3 + q + 1. Let z be r(1). Calculate the greatest common factor of z and 280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + 2*m + 5. Let t = 557 + -550. Let b(k) = 11*k**2 - 5*k - 11. What is t*r(j) + 3*b(j)?\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -253, -559, -985?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297920 + 420414. Suppose c = -33*y + 340261. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 25817.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2968897 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5675563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f + 5. Let c(n) = -n - 1. Let k be c(-6). Does 10 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**6\/720 - r**5\/360 + r**2\/2 + 2*r. Let n(a) be the first derivative of c(a). Determine i, given that n(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1403?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5234321 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2812, -2811, -2810?\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22244 + -232300?\nAnswer: -210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46030497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*w + 15, -9691*w + 9690*w + 3*f = -3 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r - 68. What is the remainder when d(16) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/3 - 499*n**2\/3 - 62000*n\/3 + 62500\/3 = 0. Calculate n.\nAnswer: -250, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.214377 at least 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 8*y - 10. Let q be n(-8). Let u(x) be the second derivative of 0 - 15\/2*x**2 - 65*x - 1\/3*x**3. Determine u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -144?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/3*14\/(56\/(-14898))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/53)*(((l**5\/l)\/l)\/l)\/l*(l**17)**(-3\/8))**(-13) assuming l is positive.\nAnswer: l**(23907\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29801 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267201 is divided by 26695.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 5932.\nAnswer: 462696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 3. Suppose 0 = -4*y + 7 + u. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(5)*-1)**2 + sqrt(35)\/(sqrt(7)*2) + -5.\nAnswer: sqrt(5)\/2 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 1. Let t be n(1). Suppose t*m - 4*m = -12. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13032?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-12)\/1))\/(6*(-12)\/720)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15549 by -2.\nAnswer: 15549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 278 and 956876?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 11*u**2 - 6*u. Let l(p) = p**3 - 8*p**2 - 9*p + 12. Let m be l(9). Calculate the remainder when w(m) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 69*w - 17 - 79. Solve -55 = w*z - 53 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 37\/30*w**6 - 5\/3*w**3 + 0*w**2 - 1 + 0*w**5 - 44*w - 1\/42*w**7 + 1\/12*w**4. Find the third derivative of o(u) wrt u.\nAnswer: -60*u**2 + 888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*u**2 + 6*m**3 + 18*m - 2583*u**3 - 5 with respect to u.\nAnswer: -4*m**3*u - 7749*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.665407 + 3.667. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 89*h**2. Let u(z) = 48598*z. Determine u(v(i)).\nAnswer: 4325222*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 178*5\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.051? (a) 2 (b) -0.3 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n + 27. Let t(v) = 1 + 19 - 8 + 6 + 2*v. Let i(l) = -5*m(l) + 8*t(l). What is the first derivative of i(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/238)\/((-4)\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4 and 46\/173631.\nAnswer: 694524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -23*b + 78 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 + 7. Let x(l) = -l**3 + 12*l**2 - 10*l - 15. Let p be x(11). What is the third smallest value in s, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1883 divide 96524463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54271\/16 + 3390. Let s be (2\/(-3))\/(10\/705). Calculate the common denominator of s\/3*(-1)\/4 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:29 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3301 - 23\/((-115)\/50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 3 - 3 + (-1278*c + 16004 - 16004)*(3*c + 2*c - 7*c) + 0*c - 4*c + 2 - c**2 + 2*c.\nAnswer: 2553*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/(-8))\/((-1)\/4). Let r be 5\/((-10)\/(-24))*s. Suppose 0 = -3*q - 3*h + r, 5*q - 2*h = 127 + 126. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 420588, 840245, 1259902, 1679559, 2099216, 2518873?\n\"Answer: 419657*y + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -234*y + 232*y + 4*y**2 - 3*y**2 + 7*y**3. Let u be o(2). Suppose z = 4 + u. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3) + 5 + 0. Suppose v*z = -8, 5*m - 4*z - 4 - 4 = 0. Suppose -34 = -19*o + 80. Solve -4*r + o - 2 = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9*x - 75612 = -5*o, -3*x = -5*o + 75626. Find the second derivative of -6*y**5 - 15284*y + 102*y**5 + o*y wrt y.\nAnswer: 1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/20 - a**4\/3 + a**3\/6 - 3*a**2\/2 + a. Let w = 5 + 13. Suppose u + 5*r - 2*r = w, 4*r - 14 = 2*u. Determine h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 3069*z - 58745. What is g(19)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 539592 - 520.7.\nAnswer: 539071.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -40*y - 12. Let v(o) = -o - 1. Let n(h) = j(h) - 12*v(h). Let u(k) = 755*k. Let s(f) = -55*n(f) - 2*u(f). Let r(q) = -2*q**2. Calculate s(r(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q - 83. Give l(-13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -2 - 0\/(-2). Suppose 2*t + s = 5*c - 0*t, -2*c - 5*t + 24 = 0. Suppose 4*g - c*g - 82 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f. Let h(s) = 7*s. Let k(u) = -10*h(u) + 3*r(u). Let w(l) be the third derivative of -l**5\/20 + 25*l**2. Calculate w(k(p)).\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183676442 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - 4*o. Suppose 2*c - o = 19. What is the derivative of -7*w**3 + 13*w**3 + 3 + 10 - c*w**3 wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {t: 2, s: 10, p: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:00 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h**5 - 4*h**3 + 2*h + 8. Let s(c) = -c**3 - c + 1. Let k(b) = 3*s(b) - y(b). Find the second derivative of k(j) wrt j.\nAnswer: 240*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 6 = 5*d - 25, 3*d - 17 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.116?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37370, 149531, 336486, 598241, 934802, 1346175, 1832366, 2393381?\nAnswer: 3029226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**5\/10 - v**3\/6 + 3*v - 3. Let y(r) be the first derivative of u(r). What is the second derivative of y(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/74569 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31860215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40576 (base 9) to base 4.\nAnswer: 12201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (2*(((sqrt(363)*-1 - sqrt(363))*3 - sqrt(363)) + -6*(sqrt(363) + (sqrt(363) - (sqrt(363) + 3 + sqrt(363)))) + 0))**2.\nAnswer: -11088*sqrt(3) + 72442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -251 divided by -3\nAnswer: 251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, -720, -733, -728, -699, -640, -545, -408?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 24. Calculate the remainder when 23 is divided by w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1546464 divided by 267\nAnswer: 5792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3 + 3. Suppose -f + n = -0*f. What is the third smallest value in f, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 7*s**2 - s - 3. Let a be q(-7). Let p(c) = -13*c**2 - 24*c - 31. Let l(r) = -7*r**2 - 12*r - 16. Let d(f) = a*p(f) - 7*l(f). Factor d(u).\nAnswer: -3*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Let s be 3 + -2 + 1 + k. Suppose -6 + 1 = -3*n - s*z, -2*z = -n + 20. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 13*p**2 + p - 8. Let l be b(13). Find the second derivative of -w**5 - 37*w**4 - 2*w**l - 10513 - 47*w - 15*w**4 + 10514 wrt w.\nAnswer: -60*w**3 - 624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(1\/6)*s))\/s*s)\/s**0*(s\/s**(4\/7))**(-12))**(-39) assuming s is positive.\nAnswer: s**(2353\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 1\/3*j**4 + 5*j + 32*j**2 + 0 - 16\/3*j**3. Suppose t(h) = 0. Calculate h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 + -4. Let m = 128 + -124. What is the second biggest value in m, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -11. Suppose 3*j - 4*j = t + n, 4*j + 42 = -5*t. List the prime factors of (-8)\/20 - 64\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450 = 109*s - 2121 - 879 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8733 - 8733. Solve 15*o - 42 - 48 = d for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -402 (c) 4 (d) 806 (e) 1.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*y = 4, 2*f = -2*f - 2*y. Which is the nearest to 1\/4? (a) -4 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -95, -178, -299, -470, -703?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 3) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a - 2. Let w be z(4). Suppose 0 = v + k + w, 5*v = -4*k - 131. Let g be v\/(-91) + 1\/(-7). What is the third smallest value in -4\/7, -13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1742692009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 2:55 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/5, -44, 2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1976486857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + a - 5*a + 24 = 0, 0 = 2*c + 5*a - 23. Suppose -4*o + 125 = -51. What is the highest common divisor of o and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243) + -5 + (sqrt(243) - (sqrt(243) + 1)) + sqrt(243))*-5 + (sqrt(108)\/sqrt(6)*-4)\/(sqrt(150)*2))**2.\nAnswer: -8136*sqrt(3) + 663537\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 3092166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1744401 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 124687350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12094, -24136, -36178?\n\"Answer: -12042*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36449 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10403 is divided by 264.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 - -851.\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240 = -y + 2*h - 455, 3*h = 5*y - 8925. What is the highest common divisor of 280 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 3*w + 0*w)*(12*w**3 - 33*w**3 + 18*w**3) to n*w**4 + q*w + r*w**2 + u + f*w**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -976 + 1725. Suppose m = -a - x, -32*m + a - 2231 = -29*m. Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/((-2088)\/18))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*n + 443*n + 10*n**2 - 339*n.\nAnswer: 10*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**2 + 35*b + 1050. Let p be r(-9). Factor 1\/2*a**2 - p + 11\/2*a.\nAnswer: (a - 1)*(a + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21734640 divided by -5\nAnswer: -4346928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.29864 litres to millilitres.\nAnswer: 26298.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2289*t**3 - 8306*t - 842028930 wrt t?\nAnswer: -6867*t**2 - 8306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12790)\/(-40) - (-1)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let w be x - (-1 - 2) - 1. Let r = w + -6. Let c(i) = i**3 + 4*i**2 + 3*i + 3. What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 + -26 + -20)\/(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22014587 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 7*s + 20. Calculate the remainder when -14 - -31 - (-1 - -2) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0*x + 9*x)*(15*x - x**3 - 15*x) to o*x**2 + t + b*x + m*x**3 + w*x**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:34 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 93.5. What is the closest to 2 in -1\/7, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9) - 46\/(-3). Let p be 130\/(-12) - 2\/12. Let n = o + p. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396\/5*a**2 + 0 - 57\/5*a - 48\/5*a**5 - 87*a**3 + 936\/5*a**4 = 0. Calculate a.\nAnswer: -1\/4, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -35*u. Let a(x) be the first derivative of -2*x**3\/3 - 22. Give a(i(w)).\nAnswer: -2450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((1*sqrt(40))\/sqrt(8) + -1 + sqrt(45))**2*-1.\nAnswer: -326 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5828 * -5.\nAnswer: 29140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1286 divide 359982709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -2.75. Let z = s - 0.05. Let q be (-2)\/(-21)*(-7 + (-245)\/(-21)). Are z and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 - 105*l**3 + 657*l**2 - 999*l = 0. What is l?\nAnswer: -111, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -432*v - 2144. Determine h(-7).\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**2 + 25029*g + 0 + 0 - 25029*g.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 - 159*x + 525*x - 77*x**3 - 180*x - 186*x.\nAnswer: -135*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*c - 5 = 0, -4*d = 4*c - 36 + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**3 - 3174483*q**2 - 4232632*q - 1410876.\nAnswer: -(q + 352719)*(3*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**7\/525 + 56*m**6\/15 + 157916*m**5\/75 + 20832*m**4 + 415152*m**3\/5 - 6000*m**2. Determine k so that x(k) = 0.\nAnswer: -558, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021021 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 + 8*r**2 + 3*r - 22. Let q be c(9). Let i = -9313\/6 - q. What is the common denominator of i and -13\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 28*l + 171. Calculate w(-17).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 16*n - 9. Calculate d(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5497000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:21 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -58. Suppose l = 3*r - 0*r - 75. What is the highest common divisor of r and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2 = 2*t, -3 = -16*f + 20*f - 3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(475) + sqrt(475) + 3 - (-5*sqrt(209)\/sqrt(11))**2).\nAnswer: -20*sqrt(19) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5656 - 5622. Solve 0 = 14*v - 36 - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t - 9. Let i be a(-5). Let c(o) = -o + 4. Let w be c(-5). What is the greatest common factor of w and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 1\/3*m**3 + 2*m - 2 + 0*m**2. Let z(a) be the first derivative of u(a). Let p(o) = -6*o**2. Determine p(z(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16445, -32898, -49349, -65798, -82245?\n\"Answer: g**2 - 16456*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -31. Suppose 3*z - 80 = -5*m, -q*m = -z - 2*m + 45. Solve -33*p = -z*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q - 8. Let a be t(-7). Let w(i) = -i**3 + 4*i**2 - 4*i + 4. Let p be w(3). Is 1\/(p - (-62)\/a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.119401499 and -8.5.\nAnswer: -8.619401499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 - 8*x - 9. Is y(-6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051 (base 7) in base 5?\nAnswer: 31334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 4*l + 5. Let y = -18 + 25. Calculate the remainder when y is divided by p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 93 = 3*l, l + 2*p - 43 = -3*p. Suppose -5*d + 21 = -x - 2, -4*d + 4*x + l = 0. Find the second derivative of 29*c - 10*c**d - c - 87 + 87 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o + 47*o - 100*o)*(-15*o - 6 + 6)*(3*o - 2*o + 0*o).\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.33 - -2.37. Let q = j + -22.5. Put -10, 0.1, q, -18 in descending order.\nAnswer: q, 0.1, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433 - -786. Let h = f + -353.00158. What is h rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2465 divided by 6\nAnswer: 2465\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, a: 2}. Give prob of sequence fe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1563\/14 - -104\/7. Let s = g - 127. Which is smaller: 47 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.94 - 22. Which is the third biggest value? (a) 2\/7 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13731 - 13919. Put 2, -1, w, 3, -4 in descending order.\nAnswer: 3, 2, -1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-135) + 11616\/(-5784)\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175630845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*m**3 - 481*m**3 + 300*m**3.\nAnswer: -672*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -3. Suppose -89 = -6*a + s. Suppose -2*y + a + 1 = 0. Which is greater: 16 or y?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 96173.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvdvdvv. What is prob of sequence vd?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (7 - (-26 + (7 - -4) + 7))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {o: 1, v: 1, t: 2, a: 2, j: 1, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233741283?\nAnswer: 3, 239, 325999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1016*s - 8. Let j = 0 - -2. Let t be j\/2 - (-2 - 9). Let u be i(t). What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 20916.\nAnswer: 104580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(((-2*sqrt(84) - sqrt(84))*4 - sqrt(84)) + (sqrt(84) - -5*(sqrt(84)*-1 + sqrt(84)))))\/((2*sqrt(108) + -6*(sqrt(48) + sqrt(12)))*2).\nAnswer: -sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -638087.2.\nAnswer: 19142.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 13*f + 13*f)*(-4*f + 8*f**3 - 6*f**3 - f).\nAnswer: 44*f**4 - 110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/(c**0*c))\/c))*c**3\/c*c)\/(c**(-1\/2)\/(c*c\/c**(-4))) assuming c is positive.\nAnswer: c**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2\/45*t**5 - 1 - 2*t - 1\/9*t**2 + 7\/54*t**4 - 2\/27*t**3. Let z(r) be the first derivative of g(r). Solve z(a) = 0 for a.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d - 9*d + 79*d)*(4*d**3 - 2*d**3 - 4*d**3).\nAnswer: -122*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/120 - r**4\/3 - 77*r**3\/2 - 56*r**2 + r. Find the first derivative of c(a) wrt a.\nAnswer: -3*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -778120 divided by -15880\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*w + 74*w = -8. Sort w, 12, -1, -6 in increasing order.\nAnswer: -6, w, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a = -164345607 - 55517397 + 48421572. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/168 and 41\/10647?\nAnswer: 85176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.36733 + 677931?\nAnswer: 677923.63267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2591 + 2596. What is the closest to -1 in 2\/23, a, -3, -77?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15*v. Suppose -2*c = 2*c + 2*y - 2, -3*y = 3*c. What is w(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 8a2?\nAnswer: 8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 18*p + 16*p = -14, -p - 6 = -5*r. Solve 4*x + 10 = r*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21479814 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 708\/(-12)*(-3 - -2). Let w be (1\/5)\/((-36)\/a). What is the closest to 1\/2 in 5\/4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -1\/2*m**3 + 0*m + 0 + 1\/24*m**4 + 2*m**2. What is the units digit of t(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + y + 10 = l, 5*l = -4*y - 12. Put 32, 0, l, 4 in descending order.\nAnswer: 32, 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*z + 18, 4*b - 4*z + 6*z = 42. What is the highest common factor of b and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/7 - 27*u**4\/7 - 206*u**3\/7 + 258*u**2\/7 + 205*u\/7 - 33 = 0. Calculate u.\nAnswer: -7, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 - -75. Let z = -49 - t. Calculate the lowest common multiple of z and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 10*z - 12*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 965969387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5852957102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -38. Suppose 258000 = 11*l - m*l. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -33. Suppose -3*b + 13 = -i. What is the remainder when 35 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let d(i) be the third derivative of 0*i**3 - 3*i + 0 + 0*i**4 - 2*i**2 - 1\/12*i**5. Calculate -6*d(u) + 34*v(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/18 + (-12)\/(-54). Suppose 5*l - 13*x - 25 = -8*x, 0 = 5*l + 3*x - 9. Solve k*g - 7 = -l*s - s, 5*s - 11 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 13*u + 553. Let g = -71 - u. Let t(v) = -3670*v**2 - 13*v - 16. Let r be t(g). What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.889 - -0.93. Let y = -0.122 + h. What is y rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167921432 divided by -2998597.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-18))\/(2\/15). Suppose -f = 4*f - t. Let l be f\/3*(-3 - -6). Is l at most -2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 109, -3, 1338, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*k + 584, 4*k = m - 4*m + 570. What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -217464*h**3 - 1377*h + 459. Let p(o) = -1891*o**3 - 12*o + 4. What is -4*a(f) + 459*p(f)?\nAnswer: 1887*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 2, k: 5, t: 2, x: 1, m: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 3*y + 8*y**2 + 3*y + 156.\nAnswer: 6*y**2 + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -10249\/718 and -0.019 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-275 + 288 + 35 + 1 + -2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/48449 - -145466\/339143. Let 24\/7 + r*t**2 + 18\/7*t = 0. Calculate t.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8117756 divided by -4\nAnswer: 2029439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4245 + 14?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -220, -128, 14, 218?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(3\/8) + (4 - 7). Let w = 2.1 - 2. Which is the nearest to w? (a) p (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-144)*(-7 - -1). Let q(r) = -22*r**2 - r + 1. What is q(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-32)\/(-20))\/(-4). Which is smaller: -10 or u?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -730, -1292, -1854?\n\"Answer: -562*n - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000928458021 rounded to 6 decimal places?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322105270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 1. Suppose -d + 5*d + 4 = 0. Let c be x(d). Suppose -c*h + 6 = -0. Which is bigger: h or 3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/9 (b) 0 (c) -0.01 (d) 43 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80937*j*r**2 + 66*r**2 - 14*r + 42 wrt j.\nAnswer: -80937*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 243*i**3\/5 + 54*i**2\/5 - 156*i - 120 = 0.\nAnswer: -10\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1748814365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4 + 4*x - 6*x + 11*x. Let c(b) = -b**2 + 48*b - 98. Let y be c(2). Let p(f) = 2*f + 1. Give y*m(u) + 26*p(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 16) + 2 + -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 4 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, -47, -429, -1051, -1937?\n\"Answer: -4*v**3 - 84*v**2 + 114*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -41\/4552 and 0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17925 and -104.6.\nAnswer: 17820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13006 - -13006.2. Which is the nearest to -10? (a) r (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*c**2 - 56*c**2 + 213*c**2 - 194*c**2 - 400*c**2 as a + j*c**2 + l*c and give j.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 22. Which is the nearest to 0.3? (a) 0 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 16 + 7*c + 2*c + 6 + 3. Let a be f(6). Solve -4*i = 5 + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*-2 - -6. Let l(f) = f**2 - 1. Let d(y) = y**2 + 5*y + 5. Let q(c) = u*l(c) + d(c). Find the second derivative of q(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 19 (c) -9\/5 (d) 3 (e) 2\/5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 1. Let r be s(0). Let j = -131 + 130.92. Which is the smallest value? (a) -1 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (-4)\/(-3). Find the third derivative of 5 - 5 + 11*v**k + 0*v**2 + 11*v**4 wrt v.\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 1652*k**2 - 38*k + 7. Calculate w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11381 - -11383. Which is the nearest to -1\/2? (a) -0.09 (b) -36 (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(20\/16)\/((-5)\/20). Sort 72, b, -17 in decreasing order.\nAnswer: 72, b, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 40803.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 4. Let d = -7 - j. Find the first derivative of -1 + 2*m**3 + d*m - 3*m wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q + 746. Let f be l(62). Solve -4*h + 20 = 2*r, -6*r = -f*h - 11*r + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 0*k**3 + 40 - 37 + 2*k**2 - 38 + 39 - 69*k as z*k**3 + j*k + q*k**2 + i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3296860 + -0.15\nAnswer: 3296859.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 30 - 8*l**2 - 33 + 5*l + 6*l**2 - l**3. Let z be w(-4). Calculate the highest common factor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 2*t + 8. What is g(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11262, -11265, -11268?\n\"Answer: -3*j - 11259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 11) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4\/3 - 301982*c**3 - 7247440*c**2 - 173937536*c\/3 - 154610688 = 0.\nAnswer: -905922, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w - w)*(90 - 133 + 131)*(-2*w - 2*w + 2*w) + (-2*w + 3*w - 5*w)*(-3*w + 3*w + 2*w).\nAnswer: 520*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (104\/(-3))\/(((-58)\/12)\/29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -11. Let m be (-3)\/(-4 - w\/6). Suppose -4*f - 8 = -9*f + 3*u, 3*u = 2*f + 4. Solve 6 = m*p - 7*p - 3*d, 0 = 2*p + f*d + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 + -151. Suppose -3*f + 210 = l*f. What is the greatest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:59 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22466129 * -0.3\nAnswer: 6739838.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -282)*6\/4. Suppose -5*l - 133 = -g. Let y = l - 35. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318712733*v + 339796908 with respect to v.\nAnswer: -318712733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + l + 1. Let p be 2\/1 + 0\/4. Let c be d(p). Let h = c - -11. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414*h + 1124?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -2.4 (b) 127\/18 (c) -5\/4 (d) 2\/7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/784 and -5\/132.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 50\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 3. Let p be o(0). Suppose 3*a - 12 = a. Suppose x = p*x - a. Solve -m + 4*m = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 14*d - 20 = -2*f, -3*f - 8 = 2*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:11 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + (-16)\/(-10). Let m be 4\/12*(117\/(-78))\/((-3)\/(-2)). Let q = -3 - -3.1. What is the fourth biggest value in q, a, m, -0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3 + 0*p**3 + 12*p**4 + 0*p - 8\/5*p**5 + 1\/18*p**6 + 0*p**2. Solve y(h) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-19 - -9) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*v**3 + 834*v**2 + 391681 with respect to v.\nAnswer: 87*v**2 + 1668*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*t**2 - 163 + 163 + (-12*t + 6*t - 8*t)*(-2*t - t - 2*t) to the form c + s*t**2 + k*t and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 27. What are the prime factors of m(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475052.4 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -87. Is -29 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*g - x + 9 = 0, 5*x = 8*g + 3*x - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194385 > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 5*f - 11*f + 3 - 3 + f + (4 - 5 + 0)*(f - 2*f - f) + 19*f + 5*f - 2*f - 5*f + 19*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(108\/27)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 31. Suppose 4*c - 72 = c. Calculate the remainder when j is divided by 3\/(c\/(-14))*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -36. Suppose -3*z + 50 = 3*x - 175, -q*z = -4*x + 282. What is the greatest common factor of 108 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6108\/28504)\/((-12)\/128).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211853 > 211878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400 - 348. Solve 28 = l*b - 59*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78163003?\nAnswer: 78163003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 1, 2, -50.8, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from ccjccccjxcjjjcjccccj?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -4, 3, 35.\nAnswer: -4, 0, 3, 15, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:26 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4185, 16491, 36989, 65679?\n\"Answer: 4096*d**2 + 18*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (8 + -11))*16*-1. Which is smaller: -33 or r?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2564, -5303, -7984, -10589, -13100, -15499, -17768, -19889?\nAnswer: -21844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.58 - -0.42. Let x = g + -22. Sort -2, x, -5 in descending order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-12\/11)*n))\/n**(3\/8))\/((n*n**(1\/21)*n)\/(((n**(1\/42)\/n)\/n)\/n)))**(12\/11) assuming n is positive.\nAnswer: n**(-7961\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161620501 is divided by 349.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -40*t + 194. List the prime factors of y(-21).\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643115 (base 10) in base 14?\nAnswer: 12a52b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*m - 17, 5*m - j = -0*j + 24. Suppose m*f + 97 = 327. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*u = 8, 14*q - 10*q - 5*u = 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:26 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 + 883115565*p**2 - 38994655498821240*p + 38994654615705680 = 0.\nAnswer: 1, 88311556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29703, -30284, -31253, -32610, -34355, -36488?\nAnswer: -39009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 101*r - 3. Let h(s) = 65*s**2 - 118*s**2 + 55*s**2. Calculate h(x(n)).\nAnswer: 20402*n**2 - 1212*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 4*l, -q = l - 0*l - 2. Suppose 0 = -l*b + 5*b - 20. Solve 6 + 14 = b*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j + 4*j - 11*j. Let b = 8 - -4. Let q(x) = 9*x**2 - 7*x**2 - b*x**2. Give q(f(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3393 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -18, -32, -50, -72, -98?\n\"Answer: -2*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6907 + -1650769\/239. Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1083.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 25\/17062 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 4 + (-8 - 4) - -34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24.1. Let g = 12.5 + -12.1. What is the closest to -0.1 in g, 3\/14, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 7. Let j be k(5). Let v be 32\/(-20)*j*-25. Suppose -v + 24 = -4*u. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11.71371 weeks?\nAnswer: 81.99597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let t(p) = 7573*p + 6. Calculate t(f(o)).\nAnswer: -15146*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = 3*y - 246, -5*b + 394 = -3*y. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -58972952?\nAnswer: 58972948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967769 is divided by 14885.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + 5*sqrt(228)*3 + sqrt(228) + sqrt(228))\/(2*(sqrt(12) + sqrt(108)\/sqrt(9))).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*y**2 - 9*y + 232*y**2 - y**3 + 228*y**2 - 695*y**2.\nAnswer: -y**3 - 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.913? (a) -2\/5 (b) -3 (c) 0.1 (d) -45 (e) 0.333 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211745 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45004572 divided by 4.\nAnswer: 11251143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 8:55 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k + 15 = 0. Let t be (5 - 3)\/(-1) + k. Which is the closest to 2? (a) -0.4 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - d**4)*(-2 - 2*d + 2) + d**5 - 4*d**5 + 4*d**5 + (13*d**4 - 5*d**4 + 11*d**4)*(2*d + 0 + 0).\nAnswer: 41*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u**2 - 9*u. Let h = -25 - -22. Let r = -5 - h. Let j(l) = -3*l**2 - 2*l. Let t(p) = r*q(p) + 9*j(p). Let c(x) = -5*x**2. Give c(t(v)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) + 10\/(-36). Let y = -0.16 - 1.84. Which is the closest to y? (a) 5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v, -3*q - 61 = -0*q + 5*v. Let u be (-54)\/q - (-2)\/(-4). Let y(g) = 1. Let s(r) = 3*r**2 + 4. Determine u*y(o) - s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 60 = -5*c, -12*c - 4*v - 31 = -13*c. Solve 5*i = 3*h - c, 4*h - 7 = -0*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 20, 19, 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193046 + 385866 - 192820 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 137*i = 143*i - 7, 4*u = -4*i + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123124637?\nAnswer: 883, 139439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/30 - 35*s**3\/3 + 5*s. Let l(q) be the second derivative of u(q). Let b(k) = 4*k. What is l(b(v))?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -3\/4 (b) -1.3 (c) 24 (d) -11 (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = o - 11, 1 = 3*b - 4*o. Suppose -6*u + 24 = -b*u. What are the prime factors of (10\/u)\/(4\/144)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 140*r**3 + 201*r**2 + 88*r + 12 = 0.\nAnswer: -3\/4, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*y = -90*y + 26288. What are the prime factors of y?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, 0, 6, 3 in descending order.\nAnswer: 6, 4, 3, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2794 and 231?\nAnswer: 58674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.45 - -93.4500005749. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z + 34 - 67. What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-3)*-1*-37*22\/(-2035).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 3*u - 20. Let i be x(-8). Let f = 498 - i. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*b = 99004, 3*k - 97167 = 5*b - 394162. Round k to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 - 240*o + 202 wrt o.\nAnswer: -4*o**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, t: 2, u: 2, g: 1, s: 1, a: 7}. Give prob of picking 2 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 20*r**2 - 8*r - 51. Let t be v(-21). Suppose 2*o - 3*l - l + 444 = 0, 621 = -3*o - 3*l. Let k = o - t. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 23 = 2*t - 4*l, 3*t + 5*l = -28. Suppose -3*j = x - 4, -2*j + j - 12 = 3*x. Let n = t - x. Let h(w) = -2*w**2 + 6*w - 4. Determine h(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3253705856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 + 439. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - 2*m + (0 + 1 - 2)*(-m + m - 2*m) + 0 + 0 + m)*((3 - 3 + 1)*(6 - 4 - 1) + 0 + 4 - 5 - 4 + 3 + 2) to the form d + y*m and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 925, 843, 751, 655, 561, 475, 403, 351?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + t**2)*(-3*t + t - 2*t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (98\/84 + (-2)\/4)\/((-42)\/27)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26288, 26287, 26286, 26285, 26284?\n\"Answer: -a + 26289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*h**5\/3 + 7589*h**4\/3 - 55638*h**3 + 1223068*h**2\/3 + 10648*h\/3.\nAnswer: -h*(h - 22)**3*(115*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -7. Is h >= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10632 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + 2*w)*(-3*w**2 + 0*w**2 + 5*w**2) + (-5*w**2 - 3 + 3)*(1 - 1 + 2*w) - 2*w**3 + 3*w**3 - 2*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -11 + 51. What is the least common multiple of d and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 281, 4, -9, -3 in ascending order.\nAnswer: -9, -3, 0, 4, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 3*d**2 + 13*d - 3*d**2 + (-10*d + 10*d - 44*d)*(-4*d + 2*d + 0*d).\nAnswer: 89*d**2 + 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5160*l**3 + l**2 - 614*l + 62761730?\nAnswer: -15480*l**2 + 2*l - 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apgvpaf. Give prob of sequence aapf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let l(k) = 15*k**2 + 2*k - 2. Let i(a) = -3*l(a) + 6*s(a). Let p(y) = 2*y**2. Calculate i(p(w)).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23229 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/36*2295\/(-595)*(-21*2)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-6)\/(-9))\/(2\/(-828)). Let c = w + -555. What is the second biggest value in c, 0.6, 1.3, 0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 16*b**2 + 13*b - 12. Determine c(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**3 - 658*j**3 + 224*j**3 + 326*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 59067 and 59063 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254a294 (base 11) in base 13?\nAnswer: bba14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*d + 3, 7*i = -d + 4*i + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edd when three letters picked without replacement from idiiedaiiiiii?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*t, 0*a - 6 = 4*a + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (95 - 105)*15\/10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309, 310, 311?\n\"Answer: r + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63156304 (base 7) in base 2?\nAnswer: -10100010100000110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 51708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruuffuf. What is prob of picking 2 f and 2 u?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -3 - (1 - -29).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 4*p)*(2861 + 3327 - 1742 + 9586 + 7704).\nAnswer: 43472*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 231313333?\nAnswer: -231320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 - (49 - 45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -46*q**3 + q - 16. Let w(p) = -9*p**3 - 3. Let j(f) = 2*l(f) - 11*w(f). Suppose d = h - 2, 3*h + d - 19 = -13. What are the prime factors of j(h)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3810461*x**4 + 7*x + x**2 + 3*x**3 + 2*x**2 + 3810458*x**4 as n*x**4 + c*x**3 + u*x + a + z*x**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040 and 1326.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (3 + 12\/(-20)). What is the second smallest value in j, 1\/2, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:40 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 816101148 to the power of 1\/3, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 151?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t**2 + 19\/3*t**3 + 27\/2*t**4 + 0*t - 98. Find the third derivative of l(o) wrt o.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -350*h + 1751. Let i be p(5). Suppose 0 = 4*r + 2742 - 18570. Is -1*(14\/(-42))\/(i\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22400874.537 rounded to the nearest ten thousand?\nAnswer: -22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 61. Suppose 2*q + m = -9. Let i(p) = 4*p**2 + 2*p - 3. Is i(q) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 5*l**2 - 6*l - 1. Let k(u) = -19*u - 1. Let x be k(-6). Let v = 111 - x. Let r be -3 - 6*v\/(-6). Give g(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1570*p - 362218. Calculate w(-231).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 523?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -516722033119.\nAnswer: -516722033119.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 - 5*d + 4. Suppose -2*f + 21 = f. Let l be x(f). Solve 2*k + l = -2*c, 4*k + k - c + 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 4*x + 1. Suppose 3*n = -2*n + 35. Calculate the remainder when c(3) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (259\/(-111))\/(21\/(-54)). Suppose -2*d + 13*d + 4 - 7*d - w*d + 230*d**2 - 232*d**2 = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -446637 + 446605. Let y(f) = -5*f**2 + 2*f - 1. Let x be y(3). Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 23310?\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1869)\/56 - -34)*(-4)\/(-10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 3043914?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = n + 166, 5*j + 14*n - 10*n = 305. Solve -56*x = -j*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t + 6. Let n(s) be the second derivative of -s**3\/6 + s**2\/2 - 4*s. Let a(r) = -6*n(r) + v(r). Let y(h) = h. Give a(y(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 0*w**2 + 2641*w**3 - 2621*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157354?\nAnswer: 2, 29, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2)*18\/(-12). Let w(v) = -v + 9. Let o(x) = -x + 10. Let d(g) = 6*o(g) - 7*w(g). Let l(h) = 2 - 3 + 5 - 2*h. What is j*d(t) + 2*l(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s + 1. Let g = -30 - -93. Let z be g\/(-77) + 4\/(-22). Let r(o) = 5*o**2 - 4*o - 6. Calculate z*r(j) - 6*f(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22376 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10*(-20)\/25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085*b**3 - 2183*b**3 + 1094*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221966 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2095578 + 0.6\nAnswer: 2095578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12566 and 10126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*r**3 - 194 + 3*r**2 - 104 - 178 + 133*r**3 + 129 wrt r?\nAnswer: 267*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/7 + -29\/14. Calculate the common denominator of v and 103\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 105*c + 80. What is o(-36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 27264?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-5)\/(-25) - -4. Let v(x) be the second derivative of 0*x**2 + 0*x**d + 0 - 1\/12*x**4 + 9*x. Let z(j) = -13*j**2. Determine v(z(c)).\nAnswer: -169*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45055389?\nAnswer: 3, 17, 157, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/45 (b) 1 (c) -1298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:30 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 - 5*g. Let l be s(3). Let h be 34\/6 - (-10)\/l. Suppose k + 3 = -5*j, 3*k - 2*j = -3*j + h. Solve -w + k = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -29, -37, -47, -59, -73?\n\"Answer: -a**2 - 3*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 545*l - 73198. Give s(240).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-4 - (0 - (4 - 8))) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 4:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 24*b + 87. Determine r(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537311029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*s - s - 688625 = -688619, 0 = 6*o - 4*s - 64 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2976, 2\/9, -0.1, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 2\/9, 2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 16. Suppose -2*o + 18 = -4*u, 0 = 2*u + f + 2. What is the greatest common factor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 - 7*o + 5. Let k be c(-7). Let u(i) = -i**3 - 6*i**2 - i - 6. Let b be u(-6). Let q(l) = l + b*l + 1 - 2*l. Determine q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1220200100?\nAnswer: 1220200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 1. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.12 - -34. Let v = 0.949 - n. Round v to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:32 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.093 - -4.093. Let a = 9638.822 + -9642.8219922. Let c = a + h. Round c to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - ((sqrt(931))**2 + 5) - (sqrt(133)\/sqrt(7) + 5).\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7110847, -7110844, -7110841, -7110838, -7110835, -7110832?\n\"Answer: 3*d - 7110850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Suppose 9 = -2*k - u*g, -25 = -3*k + 5*g + 9. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 171*a + 3587. Calculate t(49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 483*b**3 - 25*b**2 + 200*b + 57. Is s(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 210 = 511. Let o = -426 - x. Calculate the greatest common factor of 59 and o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 374*q**4*x + 2*q**3*x + 232*q**3 - 6*q**2*x + q**2 - q*x - 1378*q wrt q?\nAnswer: 8976*q*x + 12*x + 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3726 + 245?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2058 and 3913287.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 342.84129 to zero decimal places.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 13. Suppose c - 4 = -0*c. What is the tens digit of k(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267696 and -0.5.\nAnswer: -133848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 - 5*u + 1. Let m be c(6). Suppose 108 = 16*s - m*s. What is the remainder when 117 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let x be 2*-1 + (-64)\/(-34). Suppose 7 = 9*z - 2*z. Which is the nearest to z? (a) -0.4 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99078?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) 5 (d) 172 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2233 - 5?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225221236 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56367.52 milligrams to tonnes.\nAnswer: 0.00005636752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/3 + (-175)\/25. Let m = -0.43 - 3.57. Which is the nearest to -3? (a) -0.2 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 - 245. Let s(a) = 5*a - 5. Let i(c) = -1. Let q(z) = k*i(z) - s(z). Let n(x) = x - 1. What is -4*n(p) - q(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6215 and 0.2?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9469.817 years in decades?\nAnswer: 946.9817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t**3 + 2*t**2 - 2*t - 2. Give p(-2).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*a - 158 - 5873, 4*a + 12126 = 2*l. Calculate the remainder when l is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924664 is divided by 1181?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.05131ml to litres.\nAnswer: 0.04705131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((29 - (23 + -22)) + (-8 - 1) - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {i: 4, b: 10, p: 1, m: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 183 = 3*f, 3*f - 3*i + 183 = -6*i. Let j be (-6)\/(-15) + (-2)\/(-230)*f. Let y = -19\/207 + j. Is -11 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 9. Let l(n) be the third derivative of n**4\/24 - n**3\/6 + 13*n**2. Calculate -6*l(r) - q(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*-5)\/(-6*(sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3)))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.522 times -3.021?\nAnswer: -1.576962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17099.\nAnswer: 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/4 - u**3\/2 + u**2. Is n(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1955218 - 1920722 = 4*y. Let r = -3768987 - y. Let k be 8\/28 - r\/(-7). Round k to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -48. Let a = 14.99954 + u. What is a rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/460184 and -121\/1207040.\nAnswer: 73629440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t)*(t + t**3 - t) + (t**2 + 2*t**2 - t**2)*(0*t + 5*t - 4*t)*(-60 + 60 + 6*t).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**4 + 6*g**3 - 9*g**2 - 15. Let l(u) = u**3 - u**2 - 1. Let h(j) = -i(j) + 15*l(j). Factor h(b).\nAnswer: -3*b**2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/(-20)*147\/5187*-38?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -19 + 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 34. What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + -179. Let i = 808 + f. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6016*q + 6313*q + 7978 = -5684 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.4. Let p be (102\/12)\/(38\/4). Let t = -195\/133 + p. What is the nearest to g in -0.2, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + 2*x**4 + 217 - 8*x - 2*x**2 + 4*x - 215 in the form n*x**3 + b*x**2 + y*x + d + t*x**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -33*y**3 + y**2 + y - 1. Let i be z(1). Let j be -31 - (-59 - -59)\/(-1*11). Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 1\/2, 2\/7, 36 in decreasing order.\nAnswer: 36, 1\/2, 2\/7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905916, 1812216, 2718504, 3624774, 4531020?\nAnswer: 5437236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 5*a - 4, 0 = 5*a - 15. Suppose -b - r = -2*b. Solve m - b*q = 8, -3*q = -m - 2*m + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/72)\/(4\/(-16)))\/((-9)\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2202211 - 100?\nAnswer: 2202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 - 2*s - 8. Let n be y(-6). Let a(h) = -9*h - 5. Let p be a(-1). Suppose -w - 2*z + 19 = 2*z, p*w - n = -2*z. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 423.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 2*l. What is the remainder when (5 + -9)*-7*l is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-16) + (-1)\/4. Let i = 4 - d. Suppose 0 = i*u - 12 - 0. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-12))*n*n**(-10)*n*n*(n*n**(4\/3))\/(n*n*n**(-1\/2)))**(3\/8) assuming n is positive.\nAnswer: n**(-109\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -5, 7, 3, 101 in ascending order.\nAnswer: -5, -2, 3, 7, 17, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4241207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (33772 + 30213 - 60277 + (3 - 6 + 4)*(3 - 3 - 1))*(2*s**2 - 1 + 1) in the form b*s + o*s**2 + j and give o.\nAnswer: 7414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2\/7 - 14326988*m\/7 = 0. Calculate m.\nAnswer: -3581747, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -3\/77 (b) 0.1 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 1. Let n be m(2). Let z be 10\/(-190)*(1 - n). Suppose 0 = q - 20 + 21. Is z > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118580 by -1078.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14\/23, -0.3, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 66. Let k(r) be the first derivative of r**5\/60 - 46*r**3\/3 - 86. Let d(o) be the third derivative of k(o). Calculate d(l(m)).\nAnswer: 2*m + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*c - 6725, 5*z + 3*c - c + 6734 = 0. Let x = z + 9557. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211 or 62?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.9 - 6. Let a = y - -2.1. Let l = 3 + -4. Put a, 1, l in decreasing order.\nAnswer: a, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g + 2. Let u(x) = -22*x + 2. Let s(a) = 8*t(a) - 5*u(a). Give s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7112)\/42*2\/16 and -47\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysc when three letters picked without replacement from msmscycsssqm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 1736 = -29*j. Solve 121*p = j*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 660*p**4 + 30*p**3 + 100*p**2 - 25*p - 5 wrt p?\nAnswer: 15840*p + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*n + 39 = 9, 0 = 4*l + 2*n. Let m(f) = -f + 2. Let t be m(l). Solve -15 = -t*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + 14 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/50437 or -1703?\nAnswer: -1703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 - -2) - 15 - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360470 rounded to the nearest 1000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 8*i**2 + i - 7. Let a be (3 - (-1)\/(-1)) + 6. Let j = -4 + 5. Calculate the smallest common multiple of d(a) and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6073*h + 5664*h = -15807 - 553 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 743700 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: Let l(d) = 2*d**2 - 2*d - 2. Let w be 20\/(-8)*(-4)\/2. Suppose -8 = 2*v, -12 = 5*n - 4*n + w*v. What is the smallest common multiple of n and l(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11117, -11256, -11395, -11534, -11673, -11812?\nAnswer: -11951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-8) - -7) + (-1)\/(-6). Let c(j) be the first derivative of 8*j + 0*j**2 + z*j**3 + 9. Differentiate c(w) with respect to w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 4*j - 2*j)*(-2*j**3 + 0*j**3 + 3*j**3) + (j**4 + j**4 + 0*j**4)*(1 - 1 + 1) + j**4 + 30 - 30 - 4*j**2.\nAnswer: -2*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 11) in base 4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/50400 + c**7\/6300 - c**6\/600 + 7*c**5\/30 + 32*c**2. Let p(d) be the third derivative of i(d). Solve p(y) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30369, 60738, 91107, 121476, 151845?\nAnswer: 182214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -88\/5. Let m be (6\/(-10))\/((-6)\/4). What is j in -m*j + 2\/5*j**3 - x + 2\/5*j**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1295 - -1297. Calculate the highest common divisor of n and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(448) - sqrt(448)) + -2 + 4 + sqrt(70)\/(sqrt(90)*-5) + -2)**2.\nAnswer: 912247\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1978 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 - 108. Let d be ((-4)\/(-66))\/(v\/(-24)). Let r = d - 1822\/4059. Which is the third biggest value? (a) r (b) -1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 639\/(-8307)*143\/121.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -2, -4, -0.3, 5, 3\/5, 858 in increasing order.\nAnswer: -4, -2, -0.3, 3\/5, 5, 33, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*y - 18, 8*i - 3*y - 23 = 3*i. Let p = 10 - 5. Suppose -p*c + 63 = -17. What is the smallest common multiple of i and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -163*r + 163*r - 25*r**2 + (-5*r - r + 5*r)*(r + 2*r - 4*r) + 2*r**2 + 0*r**2 - 4*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367247 is divided by 1233?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 264.0248 weeks?\nAnswer: 159682199040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 632 - 150*s - 209*s - 7*s**3.\nAnswer: -7*s**3 - 359*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/315)\/((-2)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*j + 31*j - 8*j**2 + (3 - 3 + 2)*(2*j - 2*j - 2*j**2).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 61497 + 25343. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13139 + 18683. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/5 + 8*a**3\/5 + 12*a**2\/5 + 8*a\/5 + 2\/5 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 13*a = 6. Let p = a - -25. Let q = p - 18. Solve -2*z = n + q, 5*n - 2*n - 2 = 2*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 136 - 54*a**2 - 93 - 75 - 29*a**2.\nAnswer: -83*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -21. Let w(h) = h**3 + 7*h**2 + 6*h - 7. Let b = -12 - -7. Calculate the remainder when w(b) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:48 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 34 = -5*s - 0*w, 0 = 2*w + 6. Suppose 3*k + 7 = 4*z, -k + 6 = -z + 7. Solve 0 = -z*a - s + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*f - 7*f + 76, -4*f = -5*y - 68. Calculate the least common multiple of 19 and (-6)\/f + (-30)\/(-4).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-2)\/6 - -5. Solve -2*l - q + 7 = -s*l, -3*q = -5*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.15 or 0?\nAnswer: -7.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524 - -520. Let r(i) be the third derivative of 1\/60*i**5 + 1\/6*i**4 + 0*i + 0 + i**2 - 1\/2*i**3. Determine r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 136140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (4100\/(-30))\/(2\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - 3*y. Let q be t(2). Suppose 66 = 11*a - q*a. Let v(b) = -15*b - 75. List the prime factors of v(a).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:45 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110031 (base 5) to base 2.\nAnswer: 1000100011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011 - 0?\nAnswer: 11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 133 = 6*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:09 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611449?\nAnswer: 3, 290161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 8. Let f = 5 + i. Is f greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)*((h\/(h*h**12))\/h)\/h)\/(h*h*(h\/(h**13\/h))\/h*h*h*h**12) assuming h is positive.\nAnswer: h**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - f = 82, 2*v = -3*f + 26. Suppose 3*z - 2*z + v = -5*t, -5*t = 2*z + 12. Solve 31 = -z*w - 5*k - 0*k, 0 = w - 4*k - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 16 = 0. Let d(x) = 5*x**3 - 2*x**2 - 7*x - 1. Let m be d(-2). What is the remainder when (-4)\/14 - 535\/m is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(144) + sqrt(144))*6)\/((sqrt(75) - -1*sqrt(75)) + (sqrt(108)\/sqrt(4))\/sqrt(9)).\nAnswer: -24*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - -24. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4316, -8680, -13044?\n\"Answer: -4364*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-3))\/((37765\/91)\/(-83)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28398486 divided by -67\nAnswer: 423858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)*q**(6\/5)*(q*(q*q\/(q*q**(-1)))\/q*q)\/(q**6\/q)*(q*q\/(q**(-6)\/q)*q*q\/(q*q**(-2\/9)\/q))**(2\/37) assuming q is positive.\nAnswer: q**(-131\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.22+354\nAnswer: 354.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (6 - (15 - (-5 + 16))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*-2*84\/1540?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.6 (b) 3 (c) 0 (d) -2 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3636024 < -3636023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6409, 2, -3, 1 in decreasing order.\nAnswer: 2, 1, -3, -6409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/105 + 3*a**6\/20 - 21*a**5\/10 + 95*a**4\/12 - 14*a**3 - 33*a**2. Factor d(s).\nAnswer: 2*(s - 3)*(s - 1)**2*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4 + 19. Suppose 3 = -3*i - 6. Let k = i - d. Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 32*n**2 - n + 13. Is k(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 5*h**2 - h**2)*(-3 + 1 + 0 + (1 + 2 + 1)*(3 + 1 - 2) - 2 + 0 + 6 + (1 - 1 - 2)*(-4 + 9 + 7)*(-1 - 7 + 6)).\nAnswer: -116*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69c0a (base 13) to base 4\nAnswer: -233022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Let s = 485 - 489. Which is the nearest to 1? (a) s (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3, 8*g - 6*g - 2*i = 2296. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*y - y - 447, -u + 112 = -y. What is the remainder when 211 is divided by u?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 5)\/(2 - 4). Let j = 5 + t. Let c(q) = q**2 - 7*q + 7. Calculate c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1181, 2359, 3539, 4721, 5905?\n\"Answer: f**2 + 1175*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 11:05 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 9)*2\/(-6) + 52\/(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854238\/35 + (-22)\/(-10)?\nAnswer: 7, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2 + 0*s**3 - 3\/2*s**2 + 1\/2*s**4 + 0*s. Find the second derivative of q(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*h**4 + (-3 + 3 - 3*h)*(21*h**3 - 8*h**3 - 4*h**3)*(-3 + 6 - 1).\nAnswer: -51*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h - 10166 = -52*h - 3*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111011111101110 + 10110?\nAnswer: -1001111011111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -54, -26, -5 in descending order.\nAnswer: 3, 2, -4, -5, -26, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4\/45, 3\/11, -1.6 in decreasing order.\nAnswer: 3\/11, -4\/45, -0.1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrk when four letters picked without replacement from nrrkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156.805 - 157. Let z = a + 0.18837. Round z to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 756263972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let q(k) = -4 + 6*k - 4*k - 61*k - 50*k. Calculate a(q(m)).\nAnswer: -327*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31090711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -22. Suppose 0 = 4*k - d*k + 75. Suppose -4*s = s - k. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 992 and 748?\nAnswer: 185504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 2 + x**2 - 5*x + 0*x**2 + 2*x. Let t be z(-2). Suppose -2*w + 35 = v - t*v, 4*w - 71 = -3*v. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-5)*m*m\/(m*m**3)*m**2\/(m*m*m**(-2\/11))*((m*m\/(m**(3\/5)\/m))\/((m**(2\/9)\/m)\/m*m))\/((m**0*m)\/m**(3\/5)) assuming m is positive.\nAnswer: m**(689\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-11 - (12 - -2)) - -7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at least 3958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 210120002?\nAnswer: -210121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-7) + (-6)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, -10, -4, -29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-11) - 4\/22. Suppose -i - v = -2*o, o - 2*i = -3*i + 9. Let b(d) = -2*d - 4. Calculate b(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let k = 2 - d. Suppose -3*l + 8*l - 29 = -3*p, 3*p + 7 = 4*l. Solve -y + 16 = -l*h, -4*h - k*y = -3*h + 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68982 divided by -3?\nAnswer: -22994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 904\/(-10) + 2\/5. Let q = 126 + d. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 3*a. Give x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8575*r**2. Let f(j) = -j - 705. Let n(a) = -94. Let h(d) = 2*f(d) - 15*n(d). Calculate h(b(v)).\nAnswer: -17150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001540396 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/12 - 29*f**3\/2 - 169*f**2 - f + 3. What is the derivative of k(y) wrt y?\nAnswer: -2*y - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52787\/8 - 6593. Find the common denominator of 7\/3812 and d.\nAnswer: 7624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 4. Let k(x) = 4*x**2 + 4*x + 2. What is the remainder when 29 is divided by k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30892 not equal to -30892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10049.\nAnswer: 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 69*m = 72*m - 19, 4*m + 2 = 7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d - r + 9 = 0, 6 = 2*r. Let w be 1\/8*d*36\/(-9). Let g(t) = t**2 - t - 1. Give g(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*x**3 - h*x**2 - 5151*h*x - 3139*x**5 wrt x?\nAnswer: -12*h - 188340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1935*n**5 - n**4 + 138*n**3 - 4809*n**2 + 196*n.\nAnswer: -116100*n**2 - 24*n + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 3*j. Let g(l) = 8*l + 5. Let p(x) = x**2 + 8*x + 6. Let h(y) = -6*g(y) + 5*p(y). Let t(m) = -3*h(m) + 8*z(m). Let i(w) = w**2. Give t(i(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3803\/14 + 275. Find the common denominator of i and 1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -624 - -624.1325. What is b rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 24*f - 2*f**2 - 2\/3*f**3 + 0. Give z(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 83 - 2*b**3 + 50.\nAnswer: -2*b**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*20\/(-32)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 3*i = -30, -4*i - 5 = 5*y. Let c(w) = -43 - w**2 + 24 - 7*w - 2*w**y + 8*w**2. Is c(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 608.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 0, -5*t + 2*f - 55 = -f. What is the remainder when 0 - t*13\/2 is divided by 0 - 0 - -1*18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -312085?\nAnswer: -312087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 506 - 506. Let o = 5 - 9. Let j be (8\/(-12))\/((-2)\/15). What is the nearest to z in j, 1\/2, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m - m)*(0 - 11 - 2) + (0 + 2 - 1)*(-3*m - m - m) - 5*m + 2*m + 4*m to p*m + d and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 4:00 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*k - k**4 + 5*k - 54*k + 0*k**4 - 65*k + 162*k**2 wrt k.\nAnswer: -12*k**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060507.\nAnswer: 3, 59, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 637 + 12\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 666, 504, 232, -150?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/42)*205\/410\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 6*p**2 + 3*p - 5. Let i = 197 - 149. Suppose 16*w - 4*w - i = 0. Give l(w).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.068, -0.07, 0.4.\nAnswer: -0.07, 0.068, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 45*d**3 + 5*d**2 - 4*d**2 + 9 - 45*d**3 to the form s*d**3 + i*d + h + q*d**2 + f*d**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10784334 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4 - 19*k**3 - 2863*k**2 + 5779*k - 2898 = 0?\nAnswer: -46, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1770 - 984. Suppose b = -4*c + 4034. List the prime factors of c.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h = -33*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -82?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21993032?\nAnswer: 2, 19, 257, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 999 * 55500\nAnswer: 55444500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/21)\/2)\/((-28)\/(-196))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22027256 divided by 5506814?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:09 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -0.4, -47, 1\/4 in increasing order.\nAnswer: -47, -0.4, 1\/4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 50*i**2 + 96*i - 13. Let h be k(-48). Let m(s) be the first derivative of -7*s**2\/2 + 56*s - 2. Does 21 divide m(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45, 62, 67, 54, 17?\n\"Answer: -g**3 + 24*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -9*r - 208524. Let c = -27931 - r. What is c rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.1 rounded to the nearest ten?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9996 and 178789.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Let x = -3 + 3. What is the nearest to 0 in x, -2, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 26\/7. Factor -o*a**4 + 0 - 2\/7*a**2 + 4\/7*a**3 + 0*a.\nAnswer: -2*a**2*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.4282 - 10.8282. Which is smaller: -101 or a?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 160*d - 397*d + 237*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 310.7 and 140.\nAnswer: 450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1010231805 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 23\/4, 208, -1.6, 1 in ascending order.\nAnswer: -1.6, 1, 23\/4, 6, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-51)\/48*2 + (4 - 2). Let b be 0 + 2\/8*-1. Put -0.1, a, b in ascending order.\nAnswer: b, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3389273*o + 27114178. Determine r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665316357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 35*q**2 - 22*q - 407. Let g be l(34). Let d(a) = a**3 + a**2. Let x(r) = -18*r**2. Give g*x(j) + 18*d(j).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 4, 2\/29, 2\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 7 = d, 7 = 4*h - 3*d. Calculate the remainder when 10 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8348502ng?\nAnswer: 0.0008348502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2526453 (base 7) in base 9?\nAnswer: -546686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3*x - 260*s**3 - 131*s*x - s + 2*x wrt s?\nAnswer: 6*s*x - 1560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1353.\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 1:25 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2*s - 4 = -4*a - 8, 23*s = 46 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v - v - 29 + 27 to m*v + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = -16*p, -4*p + p = -4*u + 21 - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10419 - 10735.83. Round u to zero decimal places.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2775114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -650 - -632 - (1 + 3 + 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**6\/60 + b**5\/30 + b**3\/3 + 5*b**2\/2 - 4*b. Let i(l) be the first derivative of o(l). What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13576274279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3*o*y + i**3*o - 2234*i**2*o - 91*i*y - 6*o*y - 19*o wrt y.\nAnswer: 3*i**3*o - 91*i - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238102715 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 141\/((-38493)\/(-42)) + ((-1958)\/3770 - (-8)\/20)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - 2*r + 2*r)*(0*r**2 + 4*r**2 - r**2) + (9*r + r**2 - 9*r)*(r**2 - 22*r + 22*r) to u*r**3 + s*r**4 + c + m*r**2 + w*r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 824*o**2 - 269*o**2 - 267*o**2 - 289*o**2. Let k(d) = -530*d. Calculate g(k(l)).\nAnswer: -280900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 4, -27, -1\/4, 249\/2, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 7. What is the remainder when 12 is divided by m(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -329438, -658874, -988310?\n\"Answer: -329436*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 930815273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 b when three letters picked without replacement from {b: 5, v: 1, k: 1, d: 6, e: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 101, 308, 701, 1340, 2285, 3596?\n\"Answer: 10*f**3 + 3*f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48, 4, -46, -12, 1, -2.\nAnswer: -46, -12, -2, 0, 1, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 26 - 12 + 3*b**2 + 0*b**2.\nAnswer: 3*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t + u - 11, -5*t + 4*u + 19 = 0. Differentiate h**2 - 5 - 1 + t wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.39*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -825 - -915. What is the smallest common multiple of k and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - t**2 + (3*t - t - 4*t)*(2*t - 4*t - 2*t) + (2*t + 0*t + 0*t)*(2*t + t + 3*t) + 0*t**2 - 2*t**2 + 0*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:03 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10978203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 4. Suppose -5*i - 17 = r, 0*r + 2*r - 2 = -i. Suppose 3 = -j, -10 - 5 = -2*a + r*j. What is the highest common divisor of a and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25874 = -41*p - 25628. Let b(h) = 2 - 1 + 10*h + 0 + 8. Calculate the least common multiple of p and b(7).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24327062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.38 - 0.12. Let j = -9 - p. Let z be (-6)\/21 - (-176)\/420. Sort j, 3\/2, z in increasing order.\nAnswer: j, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 85. Let p(h) = 8*h**2. Give n(p(q)).\nAnswer: -384*q**4 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 1079668.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 433554?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3140 by 5.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8762)\/674*(-1)\/(-4)*4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1369\/74189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -24162029?\nAnswer: 24162027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(152) - -4*sqrt(152)))\/(((-1*sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(11)).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*j + 20, 45*d = 7066*j - 7063*j - 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 89377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14 - 3\/(-4 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(3\/2))\/(v*v\/v**(-3\/14)))\/(v\/v**(9\/2)*(v**(-2\/59)\/v)\/v) assuming v is positive.\nAnswer: v**(3155\/826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-5))\/((-1)\/(596 + 4)). Round f to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 + (24 - 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 21*q**2 + 25*q - 73. Determine w(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = -3*p - b, 4*p = -4*b + 28. Let q = -8737 + 8742. Solve -z - 26 = -3*z + q*m, 4*z = -p*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*m = 2*m - 94, 2*m + 214 = -5*a. Let f(d) = 3*d**2 + 34*d + 109. Is f(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-56)\/(-10) + (-21)\/35. Let h = 4 - -6. Sort h, g, 4 in decreasing order.\nAnswer: h, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 134 + 99 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiieqq. What is prob of sequence itiq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434976, -5739845, -12914618, -22959289, -35873852, -51658301, -70312630, -91836833?\nAnswer: -116230904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 260\/23 + -3529\/184. Let s = 20 + -28. Calculate the common denominator of u and (63\/224)\/(2\/s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) -47\/5 (c) -2\/215 (d) -193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183.999853 - 184. Round s to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 4872*h.\nAnswer: -2*h*(h + 2436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmccmccm. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57a8 (base 11) to base 8.\nAnswer: -16704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.13 plus 2951996?\nAnswer: 2952102.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (357\/(-6))\/1 - (-1)\/(-2). Let m be ((-3)\/6)\/(5\/a). Suppose -3*g + m = 3*u, -2 = -2*u - u - 5*g. Solve 5 = 5*q + 5*c, -5*q + 9 = -u*c - 32 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 108 = -2*h. Calculate the lowest common multiple of h and (15066\/(-930))\/(3\/(-5)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*i = 25, -4*i + 7*i + 15 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 0.005962.\nAnswer: 0.137126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -0.1 (c) 0.4 (d) 2\/15 (e) -104 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, 2, -985\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**2 + 14*p**6 + 20*p**2 - p**4 + p**4 wrt p.\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 12*p**2 + 59*p + 37. Let z be q(-16). Suppose 2 = 3*x - 5*x, 0 = -4*d + 5*x + z. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11935471?\nAnswer: 587, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.54, -2\/9, -2\/11?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 1. Calculate the remainder when (2 - 1 - (-994)\/42)\/((-4)\/(-18)) is divided by h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (9 - 3) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(7 - 19))\/(2\/4). Sort 0.2, n, -2, -0.02 in decreasing order.\nAnswer: n, 0.2, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 579 + -86. Suppose -5*f + 1498 = m. What are the prime factors of f?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158017280 and 173819008?\nAnswer: 1738190080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 56*k**2. Let p(o) = 3*o - 7*o - 3*o - 14*o + 26*o. Give p(u(m)).\nAnswer: 280*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r**5 + 9*r**2 + 7*r**6 - 7*r**5 - 2*r**2 wrt r?\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74575 and 712780.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 + 2*c**2 - 2*c - 3. Let m(n) = n**3 - n**2 + 1. Determine -a(y) - 2*m(y).\nAnswer: 2*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7762248986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (86 + -83)\/((-36)\/(-165)) and 61\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 461368 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -1 + (-10 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -24 - (-15 + -2 - -10)) + (0 - -68)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 3. Suppose -i*o + 6 = 2*x - 2, -2*o + x = -3. Suppose 0 = 2*h + 3*p - 898, -o*h = p - 3*p - 878. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -223*x - 4553. Let b be m(-21). Solve -25*f - f - b = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + (-432)\/(-20) - 11)*((-255)\/17 + 295)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 45. Let x be h(-21). Suppose 5*s + 2*t + x = -2*t, -4 = 2*t. Let o be (-3)\/(-6) + (-21)\/s. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511128997 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2157*v**4 + 5*v**3\/3 + 55*v**2\/2 + 2684. Find the third derivative of m(x) wrt x.\nAnswer: -51768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1583 - 567. Suppose -27*x + 18613 = -v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) -1\/5 (c) 11 (d) -1 (e) 0.0485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 8, w: 2}. Give prob of sequence kwkk.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(17\/1088*-8*-2*2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15165103 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 2*i - 100 = 0. Let z be i\/(-50) - 2\/15. What is the nearest to 0.05 in 2\/3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739362 is divided by 177?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)\/(sqrt(48)\/(4*sqrt(6) + sqrt(6))) - (sqrt(7) - 1*(-4 + sqrt(7) + sqrt(7)) - (-1 + sqrt(28))))**2 + -2.\nAnswer: 51 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 5*u + 6*u + 2006 - 3*u.\nAnswer: 5*u + 2006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) -52519 (c) -1\/2 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -19*h**3 + 13*h**2 + 2379*h - 75. Let b(d) = -5*d**3 + 3*d**2 + 595*d - 20. Determine 15*b(f) - 4*y(f).\nAnswer: f**3 - 7*f**2 - 591*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.05, -2, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 5, b: 1, m: 3}. Give prob of sequence bh.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/8*-4*4. Suppose -c*b - b + 102 = 0. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 15 + 0*t + 3\/4*t**4 - 1\/5*t**5 + 0*t**2 + 0*t**3. Determine o so that i(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjhbahaajjhjjjjuuua. Give prob of sequence ahja.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/(-13) - (-15 + 15)) + 5 and 24\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-120)*3 + 885\/4. Let q = d + -101. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let g = 2 + 0. Let f = g - 3. Put f, 3, a in descending order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from fhftersrtt.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o\/(o*o**3*o*o)*o)\/(o**(-2\/7))**(-16\/9) assuming o is positive.\nAnswer: o**(-263\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34358085 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -6 - (23 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gguuuuuu. What is prob of sequence uugu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131355005 (base 7) to base 15.\nAnswer: b13ed5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 16*s + 147 = 0. Determine v, given that 15*v**2 + 5*v**4 + 32*v + 27913 - 27933 - s*v - 25*v**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z + z. Solve 0 = -z*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x + 165. Let w be o(-8). Solve 35 = w*p - 52*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 5*t - 126. Calculate the remainder when a(11) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by -5.\nAnswer: 768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:19 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*i + 5*x, -75*i + 74*i = 5*x - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 e when three letters picked without replacement from rrxue?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50900677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182893445.\nAnswer: 5, 7, 5225527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3094887321 minus 33?\nAnswer: -3094887354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(9*d + 2*d - d) + (0*d + 3*d - d)*(2 - 5 + 0))*(-1 + 0 - 2)*(-d**2 - d + d).\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1091.9 + 1092. What is the biggest value in 2.1, -1, -0.04, i?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c5 - 5ffa?\nAnswer: -5f35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maamdaamammaadammmm. Give prob of picking 2 m.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3132416 divided by 2\nAnswer: 1566208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 677 - 678. Put -5\/2, f, -95, 1 in decreasing order.\nAnswer: 1, f, -5\/2, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + -1 - (73 + -87 - (-9 + 7 + -9)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 14349.\nAnswer: 14368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u. Let r(m) = -105*m. What is z(r(b))?\nAnswer: -735*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(3 - 3 - 2*s)*(-5 - 10 - 2) to q + i*s and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(0 + -1*(sqrt(275) + (sqrt(275) + 1 + sqrt(275) + 5 - sqrt(275)))))**2.\nAnswer: -27264 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-65)\/(-25) - 3\/(-5). Let b be 115 - -1 - (-4 - (w + 1)). Suppose -5*o + 10*o - b = 0. Is 22 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -4.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-44) - 32\/(-22). Solve -2*c + 3*u + 11 = 0, c + 2*u + 3 = -g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1349*r - 376365. Determine q(279).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-3 + 1)\/(-2). Let o be (-2)\/4*(w - -2). What is the units digit of (-6)\/((1 - -1)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7645504 weeks in hours?\nAnswer: 128.4444672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1636 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -1874a12?\nAnswer: -1874a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*a**5 - 202*a**4 - 1712*a**3 - 2128*a**2 - 32*a + 224 = 0. What is a?\nAnswer: -2, -2\/5, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32641.\nAnswer: 7, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 3*g - 4. Let z be t(-4). Suppose 5*x = 20, -4*u + 2*u = 2*x - z. What is the second derivative of 3*y**4 - 4*y - y**u + 6*y wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 21*f + 24. Let u be j(16). Let o = u + 45. Is (o\/5)\/((-13)\/8515) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123112 (base 8) in base 16?\nAnswer: a64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.021 - -18. Let r = 6493 + -6493.029. Let i = l - r. What is i rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 39 = 24. Suppose 10 = 5*m - n*m. What is the second derivative of -8*j**2 + 8*j + 2*j**2 + m*j wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*l - 8*w - 92, 3*l = -3*w - 30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -9*j + 11348. Do 1297 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -32. Which is the second biggest value? (a) -1\/7 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 15786333772*i**2 - 3*i**3 - 15786333772*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 5. Let m(a) = -a**3 + 5*a**2 + a - 5. Let h be m(l). Let b be 5\/(-2)*(-1 + -1). Solve y - 4*o = 0, h*o - o = y - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - 77 - w + 137 + 140 to the form n + z*w**2 + k*w**3 + t*w and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 224522666 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 1699844510.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxkxxkxxkxx. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11460 and 6.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7.04. Let x = -1.96 - s. Which is the closest to x? (a) -2\/5 (b) -1\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 10?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70120?\nAnswer: 2, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 + l. Let i be f(2). Let y(t) = -13*t**2 + 9 - i - 3. Let m(g) = -2*g. Let q(c) = -3*c. Let r(k) = 5*m(k) - 3*q(k). Calculate r(y(j)).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7132*k**2*n**4 - 603*k**2*n + 4*k*n**4 + 2*n**3 + 18*n**2 wrt n?\nAnswer: -171168*k**2*n + 96*k*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from kouuuvsohsosossoos?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -593*g + 18. Let y(b) = -27399*b**2. Calculate v(y(r)).\nAnswer: 16247607*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22321012 - 1?\nAnswer: 22321011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z - 8 = -66*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 2*c.\nAnswer: c*(c - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose v = -2*l - t - 12202, 2*l - 2*t + 12204 = -4*t. What is l rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((9\/2)\/(43824\/(-352)))*3.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2905 - 35022. Let f = n + 20717. What is f rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + g)*(-2*g + 1 - 1) + 20 - 20 + 68*g**2.\nAnswer: 70*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/2 + 1110650*s**2 - 616776153826*s + 4934138149264 = 0.\nAnswer: 8, 1110646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5205, -10507, -15809?\n\"Answer: -5302*o + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145642242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 13. Let g be s(13). Let f(d) = -43 - d - 42 + g. Find the common denominator of 4\/3 and f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -1*sqrt(2299) + -6*(2 + sqrt(19) + -3))**2.\nAnswer: -510*sqrt(19) + 5716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 - 71*s**4\/12 - 70*s**3\/3 + 3*s**2 + 42*s. Factor w(x).\nAnswer: -2*(x + 1)*(x + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:15 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(11\/6)*h*h)*h*h*h**(-7\/5)*(h\/(h*h**11\/h*h*h)*h)**32)**(-21) assuming h is positive.\nAnswer: h**(74179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 25*j - 189. Let s be h(8). Calculate the highest common divisor of 1144 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5977 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 12*a**2 - 15*a + 6. Let b be o(-13). Suppose -4*x + 0 = 2*d - 24, -4*x - 4*d = -b. Solve -24 = -x*l - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4864994386?\nAnswer: 2, 7, 5381, 64579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152110 is divided by 386.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012768 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 914?\nAnswer: 10054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 take away -719648549695?\nAnswer: 719648549592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(128) + -6*(sqrt(128) - (sqrt(128) + -3 + sqrt(128) + sqrt(128))) + (0 + sqrt(128))*-2)**2.\nAnswer: -3168*sqrt(2) + 15809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 0*f + 3*f. Let l(y) be the first derivative of -3 - 4*y**2 + 2 + 8*y**2. Give i(l(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(1\/(-8)*-8). Suppose v - i = 18, 0 = -3*i + 2*i - 4. Let g = v - b. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 122?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o = 65*o + 8. Suppose 0 = -o*w + 3*b + 337, -5*w - 2*b + 403 = -47. Let p = w - 39. Is p less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 217926 (b) -0.2 (c) -18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1001111001111001011?\nAnswer: -1001111001111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 12, 22, 34?\n\"Answer: t**2 + 5*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.0619247?\nAnswer: 0.3096235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5136 - 12218245.86?\nAnswer: -12223381.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17*j**2 + 69*j - 20. Let k(m) = -9*m**2 + 36*m - 11. Determine 3*b(r) - 5*k(r).\nAnswer: -6*r**2 + 27*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2536 - 2539. Which is the second biggest value? (a) 5 (b) g (c) 4\/15 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.9877 + 0.0123. Sort w, -1\/10, 4, 0.2 in descending order.\nAnswer: w, 4, 0.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 22 - 18. Find the common denominator of ((-4)\/h)\/((-22)\/30) and 1*2\/15 - (-11165)\/(-1050).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66277 is divided by 10989.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Let t be j(0). Let i be 10*((-3)\/(-6) - 0). Suppose -3*d + 7 + i = 0. Put -1, t, d in decreasing order.\nAnswer: d, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 88*f**3 + 14*f**2 - 5*f - 9. Is u(7) a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.844 plus 1?\nAnswer: -48.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -43, -64, -85, -106, -127?\n\"Answer: -21*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -72*i**2 - 90*i - 90. Let b(s) = s**2 + s + 1. Give 90*b(c) + y(c).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518 and 419765?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*p - 495*p + 164*p + 167*p + 250*p**2.\nAnswer: 250*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 701493442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxdx when four letters picked without replacement from xdsxsd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 155. Let v = -30 - g. Which is the nearest to v? (a) -2 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/828 and -83\/1422?\nAnswer: 65412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 2*g**4 - g**4)*(-2*g - 2*g + 3*g) - 152*g**5 - 1119*g + 1119*g.\nAnswer: -154*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175805293.\nAnswer: 53, 239, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -12232?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14893 + -14879. Solve a*f - 343 = -35*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2135313 (base 6) to base 5\nAnswer: 11344143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 16*w - 91)*(w**2 - 2*w**2 + 3*w**2)*(w**2 - 2*w**2 - w + 2 - 2*w**2).\nAnswer: 96*w**5 + 32*w**4 - 64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i - 0*i. Let m(t) = t**2 + 31 + 26 + 30*t + 50*t - 65*t. Let x be m(-7). What is the highest common factor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 11. Let v(u) = 2*u**2 - 19*u + 12. Let g be v(9). Suppose o = g*o + 4*y + 2, -4*o - y = -24. Let b be i(o). Is b greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab + -4?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*t = 0, 0*v = -4*v + 3*t. Let l(i) be the first derivative of -i**3\/3 - i**2\/2 - i - 7. What is l(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 680 or 9?\nAnswer: 680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7))**(-6)*a**(-5)\/(a**(-3)\/a*a) assuming a is positive.\nAnswer: a**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*p**3 + 261*p - 6494?\nAnswer: 39*p**2 + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1215))\/((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(12)) - 5*(2 + (1 + sqrt(320))**2).\nAnswer: -1615 - 151*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54270 divided by 162?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times -10?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -43. Let q be 2*3\/15 + 248\/d. What is the highest common factor of q and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/3*(-266598)\/36. Find the third derivative of 3 - m*k - 19*k**2 + 49*k**5 + 19748*k - 190*k**5 wrt k.\nAnswer: -8460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 - (-3 - (-2 + -8))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 2, s: 1, p: 8, z: 1, h: 1}. Give prob of picking 1 p and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)*y**(2\/45)*(y**(-1\/5))**(-1\/14))**(-30))**(1\/9) assuming y is positive.\nAnswer: y**(-31\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, f: 1, k: 1, x: 1, w: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -605301 less than or equal to -605301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7548 + -6605. Calculate the greatest common factor of 246 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142456?\nAnswer: 2, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, -5, -10, 3, 6, -3 in decreasing order.\nAnswer: 6, 3, -3, -5, -10, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2414049 is divided by 1420?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7481736*c**3 + 3180*c - 206 wrt c.\nAnswer: -44890416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 8, p: 2, n: 3, b: 5}. What is prob of picking 1 n, 1 j, and 1 a?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(432) + sqrt(432) + sqrt(432)*-2*-4 + sqrt(432))**2.\nAnswer: -104546 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.119 + 2.881. Let u be 8\/2 + (0 - -1). Let f = 0.2 + -0.5. Which is the nearest to -1? (a) u (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 0.7 (c) 4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 52 + 272. Let d be (a\/30)\/((-2)\/25). Calculate the highest common divisor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 + 7*o**5 - 3*o**5 + 50*o**4 - 54*o**4 + 4*o**2 + 2*o**3.\nAnswer: 4*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46651807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 621 - 23 = -13*w. What is the greatest common factor of w and 7130?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 21. Suppose -73 = -d - i. Let f = -37 - -64. What is the remainder when d is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 27*d**5\/5 - 9*d**2 - 2*d - 439. Find the second derivative of y(t) wrt t.\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*u = -0*p + 12, -4*u - 15 = p. Let s = -2.2 - -2. Let d = 3 + -2. Which is the closest to d? (a) s (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6217513?\nAnswer: 29, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2270320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 = 8*p + 205. What is the greatest common divisor of p and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(3 - (-690)\/(-232)). Suppose -72 + x = 20*d. Let t = 0 - -1. Is d > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s + 5*s + 92*s + 74*s in the form x*s + a and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 137?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891370*t - 1891371*t + p = 5, -22*p + 68 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 23210\/7?\nAnswer: 23210\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*b - 5*b + 28 = 0, 2*i + 3*b - 14 = 0. Solve i = -m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 5:01 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(9)\/sqrt(3) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 + -2.44. Which is the second smallest value? (a) f (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:22 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -25\/2. Let p(l) = l - 6. Let m be p(9). Suppose -2*x + 12 = m*o, -o + 2*x = x + 1. Which is the nearest to v? (a) o (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1481 - -1484. Suppose -2*v**2 - 2\/3*v**4 + 0 - 2*v**o - 2\/3*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 5*l**2 + 22*l - 14. Let d be q(-8). Solve 2*z - 8*n + 3*n + 6 = 0, -d*z - 6 = 2*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t. Let o be j(-3). Let m be (-15)\/(-10) - (-1)\/(-2). Let h = -1 + m. What is the nearest to o in h, 2\/11, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 2, o: 4, l: 9, m: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*b - 18, -b - 6 = -10*n + 8*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1158 = p, -1899 = 4*p - 5*d - 6534. Calculate the greatest common divisor of 66 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.074 - -0.926. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23998.362259 + 4067.682389. Let o = c - -19931. Let n = o - 0.32. Round n to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*1 + 0 + -4. Let g(b) = -54*b + 1. Is g(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26886 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-192)\/36)\/8)\/(-2). Let q = 0.4 + -0.2. What is the closest to q in v, 1\/2, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3120004\/(-12) + 2\/6. Round h to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*63\/81*(-6)\/(-28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y**2 + 15*y + 7. Let l be v(-6). Let j = l + -58. Find the common denominator of -33\/16 and (2 - j)\/(66\/(-9)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*y + 16, 157*y = 3*g + 159*y + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321332021012 + 1?\nAnswer: 321332021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6)*6\/2. Suppose -w = w + i. Let f(r) = -r + 4. Let t be f(5). Which is the nearest to t? (a) -0.2 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.063 * 2837\nAnswer: 8689.731","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 16134*t**3 - 242616*t**2 + 372234*t + 630981 = 0.\nAnswer: -5393, -1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (0 - 4 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -5*c**3\/3 + c. Let f be m(-2). Let d = 40 - f. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102323113 (base 4) in base 14?\nAnswer: 20379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 16417141.\nAnswer: 2\/16417141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 4 - 17)*(-13*f + 6*f - 11*f) in the form t + n*f and give n.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.2 - 1.8. Let v = 9.1 + k. Do v and 0.1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-406)\/(-2233) + 178\/110\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3458593224.\nAnswer: 2, 3, 48036017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94169 + 163668. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/17))*u**(-1\/2)\/u)\/(u**(-7)*u)**38 assuming u is positive.\nAnswer: u**(7705\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*g - 18, -2*v - 2*v + 6 = 2*g. Suppose 0 = -s - 4*s + 160. What is the highest common divisor of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/(-12))\/(5\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/13)*x\/x**7 assuming x is positive.\nAnswer: x**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-26)*h\/h**(-1\/20))\/((h\/(h\/h**(-1\/4))*h)\/h*h**(2\/71)) assuming h is positive.\nAnswer: h**(20073\/710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011100011 + 0?\nAnswer: -1000011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvmvmvv.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 52, -0.5, -2\/11, -5\/6, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421278 and 6864?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*m + 52, 0 = 2*m - 7*m + 20. Find the common denominator of (-14)\/f - 2\/(-2) and -69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/20 + a**4\/2 + 3*a**3\/2 - 15*a**2\/2 + 32*a. Let f be n(7). Let g = 4 + f. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*c - 63, -2*s + c + 2*c = -23. Suppose -s = 8*a - 12*a. Solve 5*z + a = -21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + d**3)*(-117 + 96 + 821 + 1805).\nAnswer: 2605*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 - q + 10. Determine w(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6 + -2)*-3. Suppose -2*v - 2*k - 2 = 0, -4*v - 7 = 5*k - w. Is 1\/(v - 4\/(-148)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -9*o**4 + o**3\/3 + o**2\/2 - o - 22. What is t(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10667?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:22 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-2 + (3 - 2) + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/2301 and -61\/25935.\nAnswer: 1530165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305.351l in millilitres?\nAnswer: 3305351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/24 + 3*s**2. Let n be q(-2). Which is greater: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 473 - 473. Solve -z + s = -4*s + 16, -2*z - s + 12 = d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*y + 29, 3*t - 2*y - 3 = -14. Let u = -1085 - -1086. Put t, 10, u, -2 in ascending order.\nAnswer: t, -2, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 11*n + 56. Let u be 0 + 12\/(-3) + 132\/30. Which is the closest to 0.4? (a) n (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -1188*f**5\/5 + 716*f + 748. Differentiate n(o) wrt o.\nAnswer: -4752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 4*q - 3*q)*((2 + 1 - 5)*(-2 + 3 - 3) + 1 + 0 - 3)*(-3*q + 11*q + 34*q).\nAnswer: 336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10988, 10987, 10986?\n\"Answer: -z + 10989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110001110001110101111100 + 11?\nAnswer: -101110001110001110101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 177255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = 14*n - 787 - 2381. What is the greatest common divisor of 12204 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssiisvissviivvvvi. Give prob of sequence viiv.\nAnswer: 25\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 7, j: 1, a: 1, f: 5}. What is prob of picking 1 o, 1 f, and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2. Let b(j) be the first derivative of j**3 - 3. Give v(b(d)).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -84. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Determine c so that c + c + 2*c**3 - v*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 9) + 29 + (1 - -12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (18 + (1 - -9 - (130 + -124))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.4, 3, -0.1, 18, 5 in increasing order.\nAnswer: -0.4, -0.1, 0.05, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2700 and -73\/195?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -1047, 3, 4 in decreasing order.\nAnswer: 8, 4, 3, -2, -1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g**2 - 9*g**2 - 2. Let o(c) be the first derivative of 7*c**3\/3 + c + 2. Let q(f) = 5*l(f) + 8*o(f). Differentiate q(r) with respect to r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, d: 9}. Give prob of sequence dddd.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -31, -72, -149, -274, -459, -716?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 81 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:27 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9420, -18834, -28248, -37662, -47076?\nAnswer: -56490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1871438*-0.4.\nAnswer: 748575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*((-32)\/(-168))\/(7\/49).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 770 + -319. Find the second derivative of 520*m**5 - o*m**5 + 68*m + 111*m wrt m.\nAnswer: 1380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4361, 0, 226 in ascending order.\nAnswer: -4361, 0, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:42 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 1. Let v = -19 - -14. Calculate the remainder when t(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1181 - 0.0981. What is the third smallest value in -0.3, 4, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010101 + 1000110?\nAnswer: 100100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47138.8ng to micrograms.\nAnswer: 47.1388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**8\/112 + 3*x**7\/70 - 3*x**6\/5 - 4*x**5 - x**2 - 10*x + 3. Solve l(t) = 0 for t.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 0.4 (c) -0.3 (d) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4150 less than or equal to -4148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(2*y**2 - 3*y**2 - y**2)*(0*y**3 - y**3 + 2*y**3).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333*u + 1360*u - 81 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -m - 35, -2*y = 3*m + 5 + 75. Is 1096590\/450 + (-4)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136042 is divided by 455.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764251.7 days in weeks?\nAnswer: 394893.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9370 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 10*y**5 - 245*y**4 + 1470*y**3 - 3520*y**2 + 3560*y - 1275 = 0?\nAnswer: 1, 5\/2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -81. What is the smallest common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-2241)\/(-12))\/9)\/((-1)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauauau. What is prob of picking 2 u and 2 a?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/4 - 2)*0. Let b(r) be the second derivative of -r**4\/12 + 3*r**2 - r. Calculate b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 56 = -3*w. Suppose w*q - 4*q - 1476 = -2*k, 2*k - 1476 = 2*q. What are the prime factors of k?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (17 - (-7 - -19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w - 70 = -2*n, -n - 4*w = -38. Suppose -188 + n = -2*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 19 (c) 1\/41 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16427?\nAnswer: 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -35*b - 2. Let f(u) = 12*u + 1. Determine -7*f(m) - 2*y(m).\nAnswer: -14*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let h = y - 5. Let o(n) = n**3 + 5*n**2 - 9*n - 7. Is 8 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1363, -1533, -1703, -1873?\n\"Answer: -170*f - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1 - 7. Let z(u) = n*u + 499*u**2 - 2 - 3 - 4 + 11. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y + 4. Let s be u(-4). Let k = -14 + s. Calculate the lowest common multiple of 4 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1 + 0) + -5. Suppose 5*i + 24 = 2*h, 0 = 5*i - 6*h + 3*h + 26. Sort n, 5, i in increasing order.\nAnswer: i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 4931442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-40) + (-759)\/24. Let c be -6 + (-1)\/(b\/212). Factor -3\/8 - c*f + 1\/8*f**3 - 1\/8*f**2.\nAnswer: (f - 3)*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17772199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226239 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 7, -89 in ascending order.\nAnswer: -89, -1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16517463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 21. Let m = 14 - j. Suppose -f - m*d = 2*f - 24, -2*f - d + 21 = 0. Solve 3*b - f = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -1290 - 5830. List the prime factors of h.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2 - 6, -3*u - u + 3*r - 5 = 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2 - 11*g - 6. Let v be m(-4). Suppose 16*f = -6 + v. Which is the fourth smallest value? (a) 0 (b) f (c) -7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 (base 7) in base 14?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286135 and 2581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2. Suppose -3*d = 2*d - 4*z + 6, 18 = d + 4*z. Let a(h) = 2*h**2 + 0*h**2 - 4*h**d. Give a(v(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*u**2 - 1150844*u + 14961986 = 0. Calculate u.\nAnswer: -575461\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1068 and 54?\nAnswer: -57672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2\/(-1))\/(1 + -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4331 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000774281 rounded to 6 dps?\nAnswer: 0.000774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + (-23 + -1 - (-34 + (-26 - -66)))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 21*b - 20*b - 19*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 - 33501850*a**3 - 222655826*a**2 wrt a.\nAnswer: 24*a - 201011100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 455*v. Let h be (-472)\/(-177) - 2\/(-6). Let d(j) = -13*j. What is h*u(q) + 104*d(q)?\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106515\/3156 - (75\/20)\/5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134110, 268230, 402360, 536506, 670674?\n\"Answer: b**3 - b**2 + 134116*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2898 and 18?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-68*(-29)\/406 - 26)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and 3\/60028?\nAnswer: 180084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*334801\nAnswer: -3348.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-108)*(-2 - -8) + 11078\/522?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5 - 15. Let d be 3 + w + 93\/(-27). Let j = d - -361\/144. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 4, -3, 0 in increasing order.\nAnswer: -4, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275133747\/598 + -460090. Find the common denominator of (-3 - 35\/(-5))*(-354)\/(-48) and z.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3627030469131 and 5.\nAnswer: -3627030469126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4480163494.\nAnswer: 2, 3187, 702881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.15 rounded to the nearest 10?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274394?\nAnswer: 2, 137197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 10873098?\nAnswer: 21746196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 1\/9 (b) -1 (c) 9\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 23*x. Let s(j) be the third derivative of 0*j**3 + 67*j**2 + 0 - 1\/24*j**4 + 0*j. Determine a(s(q)).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 + 1458255*g**3 + 1458245*g**2 - 1458255*g - 1458250 = 0.\nAnswer: -291650, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(69\/(-24) + 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134688?\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3880.322 - -3864. What is d rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40574?\nAnswer: 2, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-104)\/(-1040))*(-20)\/(-50).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 + 6 - (7 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + -0.11. Which is smaller: 1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/18387*(-6)\/8*-2. Which is the closest to y? (a) 0.2 (b) 2\/9 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*z)**(1\/19)\/(z**(2\/5)\/z**(1\/5)) assuming z is positive.\nAnswer: z**(-4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = 5*c - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-2.525\nAnswer: -0.07575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, c: 2, t: 1, z: 2, o: 1}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-64)*8\/(-9). Put 3, 0, c, 4 in decreasing order.\nAnswer: 4, 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816816.\nAnswer: 2, 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.8 + -26.85. Which is the nearest to t? (a) 1 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282050026?\nAnswer: 2, 17, 8295589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -10 - (211 + -2085) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4*r**2 - 6*r - 11. Let y be z(-3). What is the biggest value in 2.8, y, -1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -115*d**5 + 10*d**4 + 2185*d**3 - 3640*d**2 + 300*d = 0.\nAnswer: -5, 0, 2\/23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150, -644, -1466, -2616, -4094, -5900, -8034?\n\"Answer: -164*x**2 - 2*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:47 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28048824 and 540?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/((i\/i**(-2)*i*i*i)\/i))\/(i**(1\/6)*(i**1*i)\/i))\/((i*i**(2\/3)*i)**10)**44 assuming i is positive.\nAnswer: i**(-1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(-5*(-8)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3327 divided by -1109\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2895 + -2891. Solve 3*x - 7 = -4*i, -3*i + 5 = 3*x - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/1512 + l**7\/105 + l**6\/90 - 8*l**5\/135 - 1258*l**2. Solve m(g) = 0.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -376612 divided by 34?\nAnswer: -188306\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c + 12. Let z(y) = 14*y - 59 - 12*y + 5*y**2 + 17*y. Let k(b) = -11*x(b) - 2*z(b). What are the prime factors of k(-12)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -12*p**4 - 1605*p**3 - 11838*p**2 - 15084*p + 4536 = 0.\nAnswer: -126, -6, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**5 + 213*w**3 - 1128*w**2.\nAnswer: -60*w**2 + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7780? (a) -1\/3 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1244?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -518 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*d - 13. Let a be (2\/(-4))\/(d\/(-10)). What is the second biggest value in a, -1\/6, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/18 and 113\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*t - 71*t + 26*t to u + k*t and give k.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*l + 32, -4*h + 34 = 2*l - 14. Suppose n = -5*o + 3*o + 16, -4*o - l = -n. Solve 0 = -4*x + n - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {e: 2, k: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-21547.\nAnswer: -1465196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 40950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/512963 or 1?\nAnswer: 2\/512963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5. Let m = 86.099 + -90.4. Let a = -0.301 - m. What is the nearest to 2\/5 in a, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169972 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: Sum -327463.25907958 and 0.4.\nAnswer: -327462.85907958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 0 - 1*-7. Suppose 5*g = -2*f + 3 + 15, 3*g + 2*f - 10 = 0. Solve 0 = z*t - 11 - g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*j - 16, 2*k - 16 = 3*k - 3*j. Let i(a) = a**3 + 15*a**2 - 24*a - 34. List the prime factors of i(k).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*a + 85, -1 = -3*z + 5*a - 18. Let i = 34 + z. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.3 + 10. Let z = 23 - w. Let v = z + -2.85. What is v rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2022, -4064, -6120, -8196, -10298, -12432, -14604, -16820?\n\"Answer: -x**3 - x**2 - 2032*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q**2 + 4. Let b be g(0). Suppose -2*z = b*d, 3*z = 5*z - 5*d - 36. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**5\/20 - 3*f**4\/4 - 7*f**3\/6 + f**2 + 4*f. Let l = 25 + -33. Give g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/14)*s)\/s)\/(s*s**1\/s)*(s**(-1\/2)*s)**(-21) assuming s is positive.\nAnswer: s**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*n = -28, -3*n - 6 = -z + 3. Calculate the lowest common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ckcckkckccc.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356 - 122. Let x = f - 216. Calculate the greatest common factor of x and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-2 + 1*sqrt(30)*-1 + sqrt(30))\/((sqrt(72)\/sqrt(54))\/(sqrt(200)*1)).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008) + sqrt(1008) + sqrt(1008)*1 + 2)**2) + -1 + 2*sqrt(567).\nAnswer: -9077 - 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-384) + (-245)\/30\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -30*n. Let m(o) = -o. Let l(g) = -24*m(g) + z(g). Let a(d) = -6*d + 7. Let w(t) = 3*t - 3. Let s(h) = -3*a(h) - 7*w(h). Determine s(l(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.92 times -3138?\nAnswer: -24852.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 659 - 661 - (0 + 23)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**3 - 6*u**3 + 18*u**3)*(6 + 3 - 5)*(2 + 1 - 2) + 4*u**3 - 6*u**3 - 4*u**3.\nAnswer: 74*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 3:38 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b + 0*b)*(-3 - b**4 + 3) + b**5 + 0*b**5 - 4*b**5 + (-131 + 15*b**2 + 131)*(-b + 2*b**3 + b).\nAnswer: 25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 3, w: 1, d: 2, t: 3, y: 3}. Give prob of sequence dtt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -7118?\nAnswer: -7139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {r: 1, e: 3, y: 5, q: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 12*q + 3*q = 0. Let h(g) = g**2 + 6*g - 4. Let b be h(-7). Suppose b*a + 43 = w, -2*w + q*a = 2*a - 118. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*i - 412 = 0, 2*i + 309 + 15 = -3*n. Let q = 161 + n. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 = -l. Let x(n) = -n**3 + n**2 - n + 1. Let t be x(1). Let y = l - t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 94, 200, 348?\n\"Answer: 21*b**2 + b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753520?\nAnswer: 2, 5, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 9*l + 12. Give w(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -627*n + 627*n + 3*n**2 - 9 - 4. Let p(r) = -r**2 + 6. Calculate 6*d(x) + 13*p(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 11 - 2*w + 1 - 4 + 3*w + 4 + (-1 + 3 - 4)*(2*w + 2*w - 3*w) - 2*w - 3*w + 3*w.\nAnswer: -3*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 34 - 64 + 18 + 60*k**3 + 3.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -882956*k**2*z - 10323*k*z - 55*z wrt k?\nAnswer: -1765912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**3 - 2*i + i + 172 - 16*i**3 + (-2*i + 2*i - 2*i**2)*(i + 0*i + 0*i) - 82*i - 18*i**3 + 82*i.\nAnswer: -23*i**3 - i + 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4770713 - -6?\nAnswer: 4770721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 - 170*m - 7225 = 0?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l*p - 929607*l - 5914185*p - 9 wrt l.\nAnswer: 3*p - 929607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 40 = 13. Let a(n) = n**3 - 6*n**2 + 3*n + 3. What is a(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61865 and 0.03936?\nAnswer: -2435.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2501450 + 0.5.\nAnswer: -2501449.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51950095 is divided by 3640.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*c**3 - 16\/11*c**2 + 18\/11*c + 0 = 0 for c.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/48 + 5*q**3\/24 - q**2\/2 - 16*q + 4. Let l(s) be the first derivative of o(s). Factor l(j).\nAnswer: -(j - 4)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 0*d + 3*d - 1 + 1. Let i(x) = -5*x. Determine i(y(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(325)*-1)**2 - sqrt(325) - (sqrt(325) + ((sqrt(325) + 6*sqrt(325)*-4)**2 - sqrt(325)) + sqrt(325))).\nAnswer: -171589 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 - 1923*o - 4515. Give p(-238).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 5) to base 2\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**2 + 47855*o - 1103310 = 0.\nAnswer: -9594, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - ((-26 - (-44 + -4)) + -28).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 819547.2 meters?\nAnswer: 819547200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**2 + 5*l**2 + 2*l**2)*(-2*l**2 + 0*l**2 + 3*l**2) - 11*l**4 + 0*l**4 - 3*l**4 to the form z*l**3 + r*l + f*l**4 + d*l**2 + o and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88608 and 2556.\nAnswer: 265824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + (-15)\/(-20)*4. Let t be 4 - (-3)\/(j\/12). Which is smaller: t or 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*p**3 + 2\/7*p**4 + 50\/7*p**2 + 0 + 0*p.\nAnswer: 2*p**2*(p + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 2*h. Let f be l(0). Suppose -2*v = 3*v. Suppose -2*p + f*p = v. Sort -4, p, -3 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.87475 and 0.69451.\nAnswer: -14.18024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - -0.31. Let m = -98 + 93. Which is the third smallest value? (a) -3 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852 divided by -213.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 249390 to the nearest 1000.\nAnswer: 249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 315, 329, 349?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9 + (-1622 - 8))*-1 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 1208, 4149, 9920, 19475, 33768, 53753?\nAnswer: 80384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*m - 0*m - 7, 2 = m + 4*b. Suppose 0*q + m = 3*n - q, -q = -n. Let o = 3 - n. Solve o*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*h - 32, 2*p + h - 3 = 2*h. Suppose 0 = -0*w + w - p. Suppose -q + 3*b + 3 = -11, -2*q - w*b - 12 = 0. Solve -4*s + q*s + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + -1*(-4*sqrt(637) + sqrt(637)) + sqrt(637))**2*-4)*-4*5.\nAnswer: -13440*sqrt(13) + 816060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 767*t**5\/2 - 9*t**4\/2 + t**3\/6 - 3*t**2 + 403*t + 2. What is the third derivative of z(n) wrt n?\nAnswer: 46020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000010001110100000101?\nAnswer: 1000010001110100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -312*w + 311*w + 1. Let l be (39\/(-234))\/(w\/3). What is the closest to -1\/3 in 3.8, -4\/3, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - c - 63 = -j, 0 = 4*j - 3*c - 127. Suppose 2*r - 4*u = -r + j, -r - 15 = 5*u. Let o(n) = 3*n - 6. Determine o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001000010 (base 2) to base 4\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1786\/275 + -71\/11. Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.4 + 26.3985. What is j rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28485 divided by 5?\nAnswer: -5697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -2*r. Suppose 2*b + 4*p = -8, b + 0 = -r*p - 9. Is (0 + -2)\/(b\/(-1509)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 4*n**2)*((0*n + 3*n - n)*(-5 - 1 + 2) + 5*n - 4*n - 2*n).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263489 is divided by 23924?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 86989374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1872\/65)\/24 - 8888\/(-110)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405171737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 12 = -2*f, 5*f = -15. Suppose t = -2*t - 2*a + 4, -2*a - 24 = -4*t. Solve m*j = -q + 10, -3*q + 4*q = -t*j + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 808, 5, -2, 6, 2, -5 in ascending order.\nAnswer: -5, -2, 2, 5, 6, 30, 808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7528399?\nAnswer: 17, 113, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28258428 is divided by 954?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 74\/(-10) + (-24)\/(-60). Let m(y) = 26*y + 15*y + 10*y**2 - 32*y + 4*y**3 - 3*y**3 - 8. Calculate the remainder when m(d) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4605, 9211, 13819, 18429, 23041?\nAnswer: 27655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 5 - 23. Let u(h) = -o*h - 9*h + 18*h. Let i(f) = 9*f. Determine 5*i(k) - 8*u(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:48 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + 0 + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/5021 + -607491\/251050. Let q = -3958412\/35 + 113098. Find the common denominator of k and q.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - -13. Let z = 85 - x. Let o be 1\/(-2) + 17\/2. Calculate the greatest common divisor of z and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 85906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 74707?\nAnswer: 74707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23553*14643.\nAnswer: 344886579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 1. Let a = 479 + -477. Determine y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 323, 1245, 3129, 6317, 11151?\nAnswer: 17973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 510860582061 minus 0?\nAnswer: 510860582061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 4*b - 3341980, 5570020 = 5*a + 4*b. What is a rounded to the nearest 10000?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -51. Solve 2*t - 3*v = 62 - h, 15 = 5*t + 2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -788158 divided by -5\nAnswer: 788158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-649)\/5192 + -617*1\/120 - -5?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 45 + c - 40)*(-3*c**4 + 0*c**4 - c**4).\nAnswer: -4*c**5 + 296*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -7*h**6\/360 - h**5\/60 - h**4\/24 + 2*h**3\/3 - 2*h**2. Let v(t) be the first derivative of y(t). What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 62. Let k = -713 + 715. Put p, -4, 4, k in descending order.\nAnswer: 4, k, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by -9.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4219 + 30105 = 27*o - 42478. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c + 52. Suppose -h - 4*h - 4*w - c = 0, 2*w = -3*h - 14. Find the common denominator of (-10)\/35*(-11)\/h and -27\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 36189309*m\/5 + 72378622\/5.\nAnswer: -(m - 2)*(m + 36189311)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhsnnhsnhhnhhnhhn. What is prob of picking 1 h, 1 n, and 1 s?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + sqrt(189)*-3)\/(sqrt(363)*3).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - 240.9. Let g = -10 + n. Let s = -7\/72 + 2\/9. What is the nearest to -1 in -3, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.92 + -0.08. Let q = -4 - l. Let j = q + 5. Which is the closest to 0.1? (a) 4 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*j - 365*j = 3*o - 14, o = 3*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1 - 3*y**2 - 5 + 0*y**2 + 10*y**2 + 5*y + y**3. Let w be r(-6). Which is the closest to w? (a) 0.2 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = 5*d + 29, h - 5*d + 1 = 0. Let n be (h\/9)\/(2\/(-9)). Suppose -20 = 5*a, -n*w + 5*a + 94 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15080.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*8\/160)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/126 - (2 - 10546\/42) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 34*q**2 - 145*q + 9. Let a be n(5). Solve 4*f + 2*m - 7 = a*f, -10 = 5*f - 5*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -71, -60, -33, 16, 93, 204?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-2)\/(-36)). Let d = -169 + 186. Solve -d = -4*n - v, -5*v + 25 = 3*n - k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33433 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 32. Let g be q(6). Let a be (-100)\/(-8)*(-2)\/(-5). Let m(r) = 2*r**2 - 5*r - 4. Let h(y) = -2*y**2 + 4*y + 3. What is a*h(p) + g*m(p)?\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -21. Let y = 53 - 42. Let i = y + u. Which is the third biggest value? (a) -3\/2 (b) i (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -33*s - 3. Suppose -3*d + 2*d - 2 = 0. Let r be n(d). Suppose 42 = 5*t - 3. Calculate the highest common factor of r and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080 = 47*q - 91*q - 158*q + 42*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193564 is divided by 1479?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 98595.02 nanograms?\nAnswer: 98.59502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3488 + 9976 = 44*h. Calculate the greatest common divisor of 136 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 8 - 2. Let n be -2 + 1 + 0\/w. Let v be n - ((-90)\/51)\/2. What is the second biggest value in 0.4, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + sqrt(19) + -5 + -2.\nAnswer: -10 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149007600?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 15 + -3 + -15 + -10 - 5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 - 362 - 4597*h + 3771*h.\nAnswer: -826*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -117. Which is the fourth smallest value? (a) l (b) -5 (c) 5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (222\/(-9))\/(((-5)\/3)\/(-5)). Let r = 82 + l. Solve 0 = -3*z + m + 3*m + 16, 3*z - 2*m = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -85*t + 809. Calculate v(-2).\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.13, 0.04, -26, -5\/4, -0.9, 1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 30*k**2 + 330*k + 1705. Determine u(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 1. Let m = 11 - w. Suppose -4*f = 43 - 67. What is the smallest common multiple of f and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 282582.\nAnswer: 1\/47097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Let y = -8 + 6. Let p = -1 - y. Calculate the lowest common multiple of i and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 5*g + 101 - 127 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*n**4 + 1 + (3*n**4 - 5*n + 5*n)*(6 - 5 + 5) + 3*n**4 - 5*n**4 + n**4.\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104859 - 104859.00000115298. What is j rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23493538100 rounded to the nearest one million?\nAnswer: 23494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 1. Let f = 0.07 - -0.23. Let s = 0.3 - f. Sort s, g, -0.5 in increasing order.\nAnswer: -0.5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/23)\/f)\/((f\/(((f*f*f\/(f*(f\/(f\/((f*f**(2\/9)*f)\/f)))\/f)*f*f)\/f*f)\/f))\/f)*(f*(f*f**(-7\/5))\/f)\/((f*f**(-2))\/f) assuming f is positive.\nAnswer: f**(4441\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13624529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, 0.3, 2, -8\/29, -783 in decreasing order.\nAnswer: 3, 2, 0.5, 0.3, -8\/29, -783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:59 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3336660 and 173012.\nAnswer: 23356620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = -0*z + 5*y, -3*y = 2*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -20*n + 30. Let y(w) = 4*w - 6. Calculate -2*m(t) - 11*y(t).\nAnswer: -4*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1185 by 5.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*z + 187, -4*q - 5*z + 2*z = -205. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6162573 and -1.\nAnswer: -0.3837427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:52 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x\/(x**(1\/8)\/x))*x*x)*x*x*((x**4*x)\/x*x)\/x*x**(-1)\/(x\/(x**(1\/4)\/x)))**21 assuming x is positive.\nAnswer: x**(693\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from rrmmmqrrrq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2. Let z(u) = -11*u**2 - 6*u. Let k(s) = -12*s**2 - 4*s. Let c(q) = 3*k(q) - 2*z(q). What is h(c(y))?\nAnswer: -1372*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*y**3 + h + 2*y**3 + 12*y**2 wrt h.\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w - 108*w + 73*w + 37*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(720) + (sqrt(720) + 3 + sqrt(720))**2*4.\nAnswer: 588*sqrt(5) + 11560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/((-1)\/2). Suppose 0 = -w - r*w + 20. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -90.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -6, -3*z = 4*n + 27 - 7 + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 10 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6\/7 (b) -0.04 (c) -42.9 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 39. Let x(k) = -2*k. Let g be x(-3). Let f be ((-20)\/75)\/(g\/9). Which is the smallest value? (a) f (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 28*w + 22. Calculate q(-6).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0195 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/34 + -37\/34. Find the common denominator of (-20)\/12*(-72)\/(-300) + 10934\/(-440) and j.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 110, -9*t + 81 - 17 + 31 = -0*x + x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-6 - 0) - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.7955 + 24.7. Let k = w - -0.1. Round k to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18383, 18374, 18345, 18284, 18179?\nAnswer: 18018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let f(q) = 2*q**3 + 21*q**2 + 7*q + 6. Let k be f(-10). Let o = 192\/5 - k. Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 200\/80 + (-9)\/6. Which is greater: 1\/261 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**2 - 11 + 8*v + 6 - 22*v**2. Let z(f) = -f**2 + f - 1. Suppose 9*t - 5 = 4*t. What is t*x(b) - 5*z(b)?\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 t when three letters picked without replacement from {o: 2, t: 3, i: 1, j: 1, l: 1, p: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289202\/41 at least as big as -31445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20285, 40537, 60777, 81005?\nAnswer: 101221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 80*c**2 + c + 49. Let x be n(-40). Suppose x*s = 735 + 480. Calculate the lowest common multiple of s and 2.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n - 94. Let x(r) = r**3 + 13*r**2 - 15*r - 20. Let m be x(-14). Let k be y(m). Sort -4, 4, k, -7 in descending order.\nAnswer: 4, k, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + v - 4. Let o be j(5). Let h(k) = k**2 - 4*k - 7. Let a be h(6). Suppose 0 = -a*s + o + 14. Calculate the greatest common factor of s and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 51*y + 64*y.\nAnswer: 91*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 2\/9, 6\/7, 3, 9\/4, 4, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2114120405 + 5?\nAnswer: -2114120400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 667575 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4671655 and 21995.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(-7) - 24\/(-84). Suppose 0 = i - u*g + 7, -3*i - g + 1 = -58. Let k = -8 - -12. What is the smallest common multiple of i and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(4\/2*(-4)\/(-24)). Let m = y - -57. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t*t\/(t\/(t*t**(6\/5)))*((t**0\/t)\/t)**25)\/((t*t**0*t)\/t*t*t**(-6))**(-9\/14) assuming t is positive.\nAnswer: t**(-1588\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 350 - -a?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) + (-1)\/(-3). Suppose 0*x = -w*x + 6. Let u = 549161 + -549155. Calculate the remainder when u is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3\/2)\/(-3))\/((-2)\/32). Suppose -38 = i*t - 14. What is the second smallest value in t, -2, -5, -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2413588 in 3, -0.02, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**5 - 10*l**4 - 1205*l**2 wrt l?\nAnswer: -360*l**2 - 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 201 - 222 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let w be 1*12*2\/f. Suppose -x + 5*x = w. Is x at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90439 times 8\nAnswer: -723512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36014 divided by 1042\nAnswer: 18007\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/11 - 214*h**4\/11 + 6752*h**3\/11 - 65104*h**2\/11 + 186080*h\/11 - 162400\/11 = 0.\nAnswer: 2, 10, 35, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 96 - 126 = 0. Suppose -18*h = c*h. Solve 2*a + 3*p + 1 = h, 5*a + 5*p = -0*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5982243 rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183813?\nAnswer: 3, 7, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:39 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, 1 k, and 1 b when four letters picked without replacement from {v: 4, k: 3, z: 1, b: 5}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-83 + 33) - 25\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrurrurr. Give prob of sequence uurr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -15. Suppose 9*y = 4*y + p. Suppose -7*i + y*i = -3*c - 11, 0 = 4*c + 4. Solve -t - i*t = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/7 + 654910*r\/7 - 2619672\/7 = 0. What is r?\nAnswer: -327459, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.146 in 1, 0.1, 4\/5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 7*w)*(-4*w + 2*w + 3*w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 6*w + 39. Solve 3*n + 3*h = 5*n + 5, -3*n - h - w = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**0\/u**7*(u**(-2\/3)*u)\/(u*u**(-1\/5)*u)*(u**(1\/6)*u\/(u**(-1\/3)\/u))**(4\/3) assuming u is positive.\nAnswer: u**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 190*b - 2658. Let u be i(14). Let n = -171 + 76. What is the nearest to 1 in -1\/3, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 15*c**2 + 40*c - 128. What is n(13)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 8*i**2 - 5*i - 2. Determine a(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwawwaawww. What is prob of sequence waa?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.141, 851\/8, 1.9?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (225126\/22740)\/((-3)\/(-10))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 7:21 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021666 rounded to 6 decimal places?\nAnswer: -0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24509?\nAnswer: 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136416560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 24. What is y(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2305, -4658, -7041, -9460, -11921, -14430, -16993?\n\"Answer: -l**3 - 9*l**2 - 2319*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1843551892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -47?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*q + 20, 3*q - 3*l + 2 = -l. Suppose -7*c + 2*c = 4*m + 109, 5 = -5*c. Let y = m - -43. Solve 3*o = -q*r + y, -3*o - 10 = -5*r + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361.35441 rounded to 1 decimal place?\nAnswer: -361.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.91 - 0.09. Which is the closest to 1? (a) 0.1 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1. Let y = -55838 + 55849. What is the nearest to 0.4 in u, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101 (base 2) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 51725092*d.\nAnswer: 4*d*(d - 12931273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4355 (b) -3\/2 (c) 1\/6 (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13764 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -795, -1790, -3183, -4974, -7163, -9750?\nAnswer: -12735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2 + 207*j = 0.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/5 (b) 0.268 (c) 1 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13732 is divided by 170.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/4 + 73*w**2\/4 - 279*w\/4 + 207\/4 = 0.\nAnswer: 1, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/240 + 2*f**5\/3 + f**4\/48 - 20*f**3\/3 + 1386*f**2. Suppose t(z) = 0. What is z?\nAnswer: -1, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23097.\nAnswer: 3, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 + 6*x**2 + 9*x**2 - 2*x**3 - 18 to u*x + d*x**2 + s*x**3 + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.063 - -0.071. Let n = u - 0.208. What is the second smallest value in 4, 2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/2520 + m**7\/420 + m**6\/180 + m**5\/180 + 5*m**3\/6 + 7*m**2. Let d(f) be the first derivative of b(f). Factor d(z).\nAnswer: 2*z*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*(-474)\/2. Let w = 12 - x. Let u = w - -265\/4. What is the nearest to 1 in -4, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/(-240) + 8\/20. Solve -g - 4 = h, -1 - 7 = 5*z - 3*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 30 = -10, -3*m - 2*z = -7. Let x(u) = -24*u - 37. Let w(c) = 6*c + 9. Let f(t) = 9*w(t) + 2*x(t). Let j(p) = -7*p - 8. Determine m*j(g) + 6*f(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 65362.0321?\nAnswer: 65363.0321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(-1\/5))))**38*w**(-3\/19)\/(w*w**(-3)))**15 assuming w is positive.\nAnswer: w**(9189\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304158 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 470064?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121460 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 167?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/(-7) - 89760\/(-104720)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:31 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -262, -604, -1082, -1696?\n\"Answer: -68*j**2 - 2*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 185*z**3 - 2*z**2 - z - 372 wrt z.\nAnswer: -24*z**2 + 1110*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2*i + 1 + 9 - 3*i. Let d be u(5). Let z(r) = 5*r**2 + 10*r + 17. Is z(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/9)*o)\/o*o)**(-47)*(o**(-7\/5))**(-14\/9) assuming o is positive.\nAnswer: o**(-1534\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -2\/39*y**3 + 8\/13*y**2 - 4 - 32\/13*y. Factor l(s).\nAnswer: -2*(s - 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/4*(-3450)\/((-598)\/13).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:29 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 44441.8us?\nAnswer: 44441800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 4*z**2 - 4*z**3 + 11 - 1 - 11 + 0*z**3 - z**3 - 2*z**3 + (-5*z - 3*z + 4*z)*(-z**2 - 2*z**2 + 2*z**2) as a*z**3 + h*z**2 + y*z + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-96)*-2*(-12 + -3 + (-158 - -171))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 926, 2053, 3190, 4343, 5518?\nAnswer: 6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17681 + -8370. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3687\/6444 - (-16275)\/(-27900)?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 7:16 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*i - 4*r, 0 = 6*i - i + 2*r - 91. Calculate the highest common factor of i and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -87, -139, -191, -237, -271, -287?\n\"Answer: a**3 - 9*a**2 - 26*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2.5. Let n = 1.5 - q. Which is the nearest to 1? (a) n (b) 5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h - 9 + 2 - 3*h**2 + 2*h**2. Let l = -6 + 12. Does 5 divide w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -24723 = -17466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -g - 196 - 247, -x + 137 = 5*g. Suppose -z - x = 13. Let k = 220 + z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e6 - -66bc5?\nAnswer: 669df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 835, 2284, 4345, 7018, 10303, 14200, 18709?\n\"Answer: 306*v**2 + 531*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109130.192 + 110918. Let j = w + -1794. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 26 - 94. Let d = p - 15. Solve 4*h = d + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 147*q - 151*q = 160, -q - 1 = 2*f + 38 + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000333472 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1747715?\nAnswer: 1747717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -4, 0, -1, -2\/3 in descending order.\nAnswer: 0, -2\/3, -1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1674 or -5?\nAnswer: 0.1674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*n + 2226*k**2*w - 3*k**2 - 4*k - n + 553*w wrt k.\nAnswer: 4*n + 4452*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057333017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23720 and 85155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7912 (base 13) to base 3\nAnswer: 212012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -318, -688, -1204?\n\"Answer: -73*d**2 - 5*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1520.000001274 - -1520. What is k rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:07 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 154*i**3 + i + 1. Let r = 0 - 2. Let j be w(r). Let o = j - -853. Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 9*a - 26 = h, 8 = 2*h + a. Solve 9*g + 13 = 14*g + t, h*g = t + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixi when four letters picked without replacement from ixixixi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25069705259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = l. Suppose -2*x = -0*x - 4. Suppose j + 2*j = 15. Sort j, x, l in increasing order.\nAnswer: l, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1099192931 to the nearest integer?\nAnswer: 33154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3 - 3)*(3*b - 4*b + 2*b)*(0 - 3 - 16).\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/8 + 2*i**3\/3 + i**2 - 22. Factor l(t).\nAnswer: t*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 174341766572.\nAnswer: 174341766574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 961 and -74 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by 286?\nAnswer: -89\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31720627 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181461.\nAnswer: 3, 7, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:46 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 93?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4970 or -4971?\nAnswer: -4971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkyhkhyhkccck.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*q - 143, -2*q = 3*q + 3*s - 167. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 12*z - 31. Let r be h(10). Let k(x) = -70 + 17 + r - x. Give k(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3932930630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:17 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*a + 35, -7*a + 3*a = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 2217642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10855962 is divided by 106431.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 - (5 - 4)). Suppose -2*b + 5*i = -263, 2*b + 2*i - 293 = -c*i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937209303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, -4696, 1 in ascending order.\nAnswer: -4696, -349, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m + 6*m. Suppose -136*n = -135*n - m. Which is the second biggest value? (a) 0.5 (b) 2\/11 (c) n (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1097*t - 3. List the prime factors of r(-1).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.2 + 77.2. Put 0, 5, 0.2, q, 16\/33 in ascending order.\nAnswer: 0, 0.2, 16\/33, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*304\/57. Suppose -5*h = q - 23. Which is the third smallest value? (a) 6 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106748, 105391, 104034, 102677?\nAnswer: 101320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 125 = n, 121 = n + 6*l - 3*l. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 237755*f**2 + 7065632800*f + 17665568000.\nAnswer: (f - 59440)**2*(2*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 11. Let l(x) = -3*x + 22. What is 2*l(w) - 5*r(w)?\nAnswer: -w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 13. Determine s(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/(-3)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.812838 centuries in decades?\nAnswer: 8.12838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2)*(8 + 4\/(-2)). Suppose 7*i - i = z. Suppose i*y + 2992 = -h - 731, 0 = 5*y + 2*h + 6206. What is y rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57676 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(9\/5)\/(v\/(v**(-2\/51)*v)))\/(v*v*v\/(v\/(v\/(v\/((v\/(v*v\/(v\/v**8)))\/v*v)*v))))**32 assuming v is positive.\nAnswer: v**(57569\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 15 + 29)*(-1 - 16 + 1)*(3*x - x - x)*(4*x**2 + 10*x - 10*x).\nAnswer: 1728*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -277, -402, -527, -652, -777?\n\"Answer: -125*h - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/17 or -2?\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -300*n**3 + 25*n**2 - 25*n - 25. Let g(t) = -25*t**3 + 2*t**2 - 2*t - 2. Give 4*a(d) - 50*g(d).\nAnswer: 50*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(288) + sqrt(288)*-3)**2 - sqrt(288)) + (-2*sqrt(288))**2*5 - -3*(0 + (sqrt(288) + (sqrt(288) + -1)*-2)**2))*6.\nAnswer: -504*sqrt(2) + 5256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(9\/573) + 7 + -8. Let x = u + -193. Let r(k) = -k**3 - 3*k**2 - 9*k. Let a(d) = -5*d + 0*d**2 + d**2 - 3*d**2. Calculate x*r(l) + 5*a(l).\nAnswer: 3*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2159388 divided by -6?\nAnswer: 359898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2517*g - 14268 = 2169*g for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose -3*r + 156 = j, -s*j = r + 3*r - 304. Let t = j - 79. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -108*i**3 - 14*i - 14. Let n(x) = 2*x**3 + 6*x**2 + 12*x + 22. Let p be n(-3). Let j(l) = 36*l**3 + 5*l + 5. Calculate p*j(t) - 5*u(t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330106 is divided by 73892?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.17, 145, -5, -4\/7, 0 in ascending order.\nAnswer: -16.17, -5, -4\/7, 0, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1782920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 130 = -11*i. Sort 3, 12, i, 1.\nAnswer: i, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = 2*v. Let q be (-3)\/90 - v\/(-12). Which is the closest to -2\/7? (a) q (b) -2\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.78 + -0.12. Let x = v - -3.9. Let g = x - 7. Sort 3, 5, g in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 25*c**2 - 114*c + 16. Give m(-29).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjnn when four letters picked without replacement from {n: 3, j: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 2*m**5 + 0*m**3)*(-2 + 0 + 4) - 1 + 1 - 2*m**5 - 3 + 3 + 3*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v - 4. Let i be (-4)\/3 - (-1)\/3. Which is the closest to i? (a) v (b) -1\/6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758 != 2675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a - 31*a - 43*a + 1674 = 40*a for a.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-294)*(-37492)\/260.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 319, 688, 1205?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*d + 10933*d**2 - 10937*d**2 - 1628*d in the form c + i*d**2 + g*d and give g.\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-35) + (-8)\/30. Let f = -1 + -3. Are f and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -215*w**6\/6 + 133*w**5 - 705*w**4\/4 + 275*w**3\/3 - 10*w**2 + 6670. Factor n(f).\nAnswer: -5*f*(f - 1)**3*(43*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3682 divide 698725776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.083 + 0.0829999. What is i rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3157*y**3 + 1573*y**3 + 1588*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 13*t + 9 - 7 + t**2 - 4 to the form q*t + c*t**2 + o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -269, -399, -529, -659?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*b + 43*b + 160*b.\nAnswer: 375*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 235\/10 + (-3)\/(-6). Suppose 4*j + 4*n + n - h = 0, -4*n = 0. Solve -2*s + 20 = -j*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10 - 3*d**2 + 41*d**3 - 22*d**3 + 8*d - 20*d**3. Let s be w(-5). Which is bigger: s or -11\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*r - 35*r - 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 42757?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from {s: 1, k: 1, r: 2, o: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*g**5 + 199*g**5 - 418*g**5 - 37*g**2 wrt g?\nAnswer: -720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(1296)*-2))\/(sqrt(1152) + (sqrt(1152) + sqrt(1152) + 1*sqrt(1152)*-4 - sqrt(1152) - sqrt(1152))).\nAnswer: sqrt(7)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 18 - (15 + -10 + 7 - -61)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -111012?\nAnswer: 111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 123 + 60 + 63.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + k - 38*k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004360836144 rounded to six dps?\nAnswer: 0.004361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/9)*j*j*((j\/j**4)\/j*j)\/j)**(-15)\/((j**(1\/2)*j)**(-5\/7)*j*j*j*(j\/(j*j**(-1\/12)*j)*j)\/j*j*j**(-5)) assuming j is positive.\nAnswer: j**(1231\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 154364121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h + 81 + 224 - 129 = -622 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416 = -3*a + s + 2967, -a + s = -1457. List the prime factors of a.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-4)*12\/(-5)*3347\/20082.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*o**2 - 390*h**2*o - h**2 - 9*h*o**2 + h*o - 96*o**2 - 2 wrt h.\nAnswer: 4*o**2 - 780*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/12 + 2\/3. Let j be (3\/9 - v)*-21. What is the least common multiple of -1 + j - (-3 - -5) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*b - 4*b - 14 = 0, q + 3*b = 4. Let g be (-5)\/q*(-16)\/(-60). Let n = 24 + -29. What is the second smallest value in g, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5079 or 5192?\nAnswer: 5079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + 1222*p**2 - 9026*p + 1947. Give a(196).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899044, 899033, 899018, 898999, 898976, 898949?\nAnswer: 898918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2869455751 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95164 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20399203 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2352 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 3:27 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7203a (base 12) in base 10?\nAnswer: 148654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:41 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 - 3 = 0. Let h be 1\/3*(b - 45). Let x = h - -53. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 - 5*l + 107. Let k(q) = -2*q**2 - 3*q + 54. Let z = 2459 + -2462. Determine z*c(a) + 5*k(a).\nAnswer: 2*a**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjjd when four letters picked without replacement from dqjdjddq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -24 - 2\/11*g**2 - 136\/11*g = 0.\nAnswer: -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 - 27)) + (-295 - -285).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130032 (base 4) in base 8?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -3*t. Let m be -92*2 + 1\/t. Let o = m + 1645\/9. Which is the smallest value? (a) 0.5 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 24*u + 11. Let t be c(21). Let o = t - 24. Suppose 5*f + o = 10*f. What is the least common multiple of 34 and f?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 - 3*g**2 - 9*g - 3. Let o be v(3). What is the highest common factor of 897 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)\/((-15)\/120*-36). Find b, given that 0 + 2\/3*b**2 + h*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Suppose 0 = o*m - 2*u - 6, 2*u + 5 + 1 = -3*m. Let r = -20593\/14 + 1471. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 360677868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 676095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 1.3, -2.6, -10, -4 in decreasing order.\nAnswer: 1.3, -0.1, -2.6, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -540869 or -540867?\nAnswer: -540867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2 - 8. Suppose -b*m - 5*w = -34, 0 = -m - m - 4*w + 32. Suppose -3*n + 7*n - m = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + 10. Let b = -29 + a. What is the second smallest value in b, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001 - -1?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5930 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5746, 5885, 6024, 6157, 6278?\n\"Answer: -c**3 + 6*c**2 + 128*c + 5613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 1400000 = -7*p. What is p rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2213311230 (base 4) to base 8.\nAnswer: 2476554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33872 and 2555?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 281372 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 4*k**2 + 4. Let n = 0 + 1. Let s(u) = 2*u + 26. Let d be s(-11). Let t(z) = z**3 + z**2 - 1. Give d*t(f) + n*o(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(3\/26)*(u*u*u*u\/u**1)**(-2)*(u**(1\/4))**(-1\/28)\/(u**(2\/3))**(-10) assuming u is positive.\nAnswer: u**(2537\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - -280. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3477 is divided by 319?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9610 and 8731460.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m + 62. Let f(v) = -2*v - 2. Determine 6*f(b) + t(b).\nAnswer: -b + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1075*o. Let n(m) = -3473*m. Determine n(a(x)).\nAnswer: 3733475*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2 + 1)*-5. Let l(f) = -3*f + 7. Let a be l(q). Is (-282)\/a + (-2)\/8 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320130854 rounded to the nearest one hundred thousand?\nAnswer: 320100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1436260 and 101\/143626.\nAnswer: 1436260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208991 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020123132 (base 4) in base 14?\nAnswer: 270370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-3) - (1 + 0). Let q = -41 - -43. Which is the second biggest value? (a) q (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 35.94918.\nAnswer: -35.64918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (171\/76)\/((-6)\/(-16)). Suppose 8*t = a*t - 24. Let j be ((-22)\/t)\/((-7)\/(-42)). What is the greatest common factor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 3003?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*(2 - 1 - 3)*(-37*o + 37*o + 11*o**2).\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 13*v**2 + v + 5. Is w(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3576*q**4 - 213*q**2 + 3?\nAnswer: -85824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162302 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5092719 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*v**3 + 2313*a**3*v**2 + 604*a*v**3 wrt v?\nAnswer: 12*a**3 + 3624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (3 + 2)) + -18 + 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644960363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6099 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11695938 is divided by 2708?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/57 and -119\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 + u - 3. Let x(z) = -2*z + 11. Let d be x(7). Let y be n(d). Let v be (y\/15)\/((-1)\/5). Solve -v*g = 2 + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -12. Suppose -18 = 6*t + 24. Let d = t - g. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89, 177, 265, 353, 441?\n\"Answer: 88*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and 127 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -638 + 639. Let p = 0 - 4. Let u = 88 + -262\/3. What is the third smallest value in p, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w**2)*(324*w**2 - 1029*w**2 - 486*w**2) + (5*w - w**2 - 5*w)*(0 - 2*w**2 + 0) + 2*w**4 - 5*w**4 + 2*w**4.\nAnswer: -2381*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3. Let m = -209 - -274. What is the units digit of m + (-2 - c)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549186 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 16*m - 12*m. Let z(w) = 3*w - 14 - 2*w + 15 - 2*w. Calculate z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -5*k = 4*n - 1, k = q*n - 3*k - 20. Solve n*z = z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2501 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -3. Let f = c + 12. What is the third biggest value in 3\/8, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*d + d + 57*d to c*d + j and give c.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s + 22. Let r(b) = b**2 - b - 3. Let u(p) = 2*r(p) - z(p). Factor u(m).\nAnswer: 2*(m - 2)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = 0, 4*m - 30*q - 43 = -25*q for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -148, -493, -1162, -2263, -3904?\n\"Answer: -18*s**3 - 3*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10 + 11 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d7c1 (base 15) in base 16?\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3300, -19 in ascending order.\nAnswer: -3300, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 3*c**4 + 11*c**4 - 60*c**2 + 60*c**2 wrt c?\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/16698 and -1\/165945.\nAnswer: 40158690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -0.5, 15.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q + 2. Let r be j(-4). Suppose 0*u = -r*u + 32. Suppose 2*d + 7 = 35. Calculate the lowest common multiple of d and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*z**4 - 10 - 3*z**4 + 2*z**4 wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137.5 + -173. Let i = 1.5 - x. Let j = 37.3 - i. Which is bigger: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -6*o + 6. Suppose -7*v - 4*g = -2*v - 214, 4*v - 4*g - 164 = 0. Let f = o + v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3699 - 3785 = o - 6*r, 2*o - 4*r + 52 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*20\/(-10)*(4\/2)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3 - 14\/(-4)). Suppose -a*x + 3*z - 3 = 0, 3*x - x + 5*z - 5 = 0. Differentiate -2*f**2 + x + 2 + 0 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3490536*b**5 + 234*b + 5545 wrt b.\nAnswer: -69810720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139385434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*t + 14, 3*s - 4*t = 7*s - 4. Let w(m) = m**3 + 64*m**2 + 974*m - 23. Let g be w(-25). Solve -5*z = -s*z - g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003275037?\nAnswer: 2777, 721381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 884 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*b - 6*b. Let t = 1645 + -1640. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(77)\/(sqrt(7)*-2) + -3.\nAnswer: -3 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 6. Suppose 2*x = -5*r - 2*x + 34, 2*x = 3*r - 16. What is w(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 26865690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {s: 2, l: 1, g: 1, w: 1, p: 2, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -370 (b) 24 (c) -3\/5 (d) 0.4 (e) -3\/2 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 788*p**5\/5 - 31*p**3\/2 + 2*p**2 + 309*p. What is the second derivative of i(n) wrt n?\nAnswer: 18912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v - 13. Let u be p(4). Suppose -u*c - 57777978 = 4*f - 19977978, c = -f - 12600000. Round c to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 206. Suppose 3*h - 2*n - 141 = 0, j = 2*h - 0*h + 5*n. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 6*t - 23. Is t < -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (4 - 6 - 93\/(-15)). Which is the closest to 2\/5? (a) x (b) -1 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125155, -499919, -1124527, -1998979, -3123275, -4497415?\n\"Answer: -124922*j**2 + 2*j - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 7. Let j be p(9). Let s(x) = 11*x - j*x - 8*x. Let b(f) = 3*f. Let u(c) = b(c) - 4*s(c). Let n(r) = 26*r**2. Calculate u(n(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 6*i + 3. What is the remainder when 21 is divided by l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/13))\/y**(-5\/7))\/(y\/(y*y**33)*y**(3\/4)) assuming y is positive.\nAnswer: y**(12391\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12065486.\nAnswer: 2, 6032743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306\/(-15)*550\/(-20) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (5 - -4 - 5) - (-12 + 12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(747\/(-2407)))\/((-1)\/3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10153\/1240 - 29\/155. Calculate the common denominator of -61\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.2. Suppose 5*q = -2*q + 14. Let v be (-88)\/(-24) + q*-2. Which is the third smallest value? (a) r (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267426 is divided by 291?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d - 763 - 421 + 54*d + 120*d wrt d.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:40 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1941*a**3 + 18*a**2 - 4*a - 7527. Let v(b) = -485*b**3 - 4*b**2 + b + 1882. Let q(g) = -4*i(g) - 18*v(g). What is the derivative of q(c) wrt c?\nAnswer: 2898*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 106\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (46 + -51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let f be (1*-1)\/(1\/2). Let g be f\/3 - (-20)\/39. Which is the nearest to l? (a) -7 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-213)\/12)\/((1880\/(-160))\/47)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 47362\/51 - 6\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-6)*(-18)\/12. Suppose -f*u - 4*h = -608, -h - 152 = -u - 4*h. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1745*h**3*y**3 + 2*h**3*y**2 + 4*h**3*y - 3*h**2*y - 12*h*y**3 - 49*y**3 + 2*y**2 + 17229*y wrt y?\nAnswer: -10470*h**3 - 72*h - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1514 or 1516?\nAnswer: 1514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2930*c**5*m**2 - 11*c**2*m**2 + 57596*c*m**2 - 2*c wrt c?\nAnswer: 58600*c**3*m**2 - 22*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 + 6*i**2 + 9*i - 5. Let s(n) = -5*n**3 + 7*n**2 + 10*n - 6. Let g(l) = 4*q(l) - 3*s(l). Suppose -8*r = -9*r + 4. Is g(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.02990289 - -34.03. What is m rounded to 6 decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593720748?\nAnswer: 2, 3, 2843, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-8)*x**(4\/17))\/((x\/((x\/((x*x*x\/(x\/(x*x*x**(-1\/20)*x)))\/x))\/x*x))\/x**(2\/11)) assuming x is positive.\nAnswer: x**(24187\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5*v**2 + 44*l**5*v - 12*l*v**2 + 23*v**2 wrt l?\nAnswer: 60*l**3*v**2 + 880*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1649.228 kilograms to micrograms.\nAnswer: 1649228000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 4. Let m(s) = 24*s + 33. Suppose -42 = 18*i - 15*i. Let y = i - -19. Suppose -y*q = 3*c - 0*c + 20, 2*c = -3*q - 12. Give q*m(k) - 33*j(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 241*y - 1160. Determine v(3).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 - (-42)\/15. Suppose 27 = 3*t + b*u, -3*t + 15 = -3*u - 0*u. What is the remainder when (22\/8)\/((-1)\/(-4)) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419418 divided by 2002\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 345817720 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:03 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147306914 to the nearest integer?\nAnswer: 12137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x - 23. Let q(p) = -3*p + 23. Let c(k) = -4*n(k) - 5*q(k). Let h be c(-5). Calculate the greatest common factor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*j*z - 7861*a**2*z + 3*a**2 - 4*a*j - 3608*z wrt a?\nAnswer: 2*j*z - 15722*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.179, 1.2, -6, -1\/5?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*n - 2 = -24, 5 = -5*n. Let s be (-4)\/c + (-4)\/20. Let w = 237\/7 + -34. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 305*x - 275*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/7, 3, 11656.8.\nAnswer: -13\/7, 3, 11656.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*h + 133 + 120 + 135 - 388.\nAnswer: -94*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (765*h + 754*h + 216 - 1522*h)*(-2*h + h - 2*h)*(-6 + 3 + 4) as a*h + x*h**2 + v and give a.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let h be m(-3). Let t be (2\/(-228))\/(1 - (-25)\/(-20)). Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 299.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633270112.\nAnswer: 2, 3, 11, 241, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwhwwhwwww. Give prob of sequence www.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 - 313 = -3*h. Suppose 2*n + 0*g = 5*g + h, 0 = 4*n - 4*g - 364. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-6)\/336*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(162) + -1).\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 3. What is r(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 1120*i**4 + 9424*i**3 + 90728*i**2 - 205268*i + 106232 = 0 for i.\nAnswer: -7, 1, 14, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24 - 60 - 103*h**3 + 2*h**2 - 2*h**2 wrt h?\nAnswer: -309*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1, -10 = -4*s + 5*p + 9. Solve -4*t = -7*t + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*o - o - 120780, 0 = -4*k - 5*o + 120789. List the prime factors of k\/34 + (-18)\/153.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + t. Let s be y(-1). Solve -4*a + s*a = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 + 2*z**2 - 4*z - 3. Let b(v) be the first derivative of s(v). Suppose 3*k = 2*k - 4. What is b(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/19 - 7264*x**3\/19 - 7260*x**2\/19 + 7264*x\/19 + 7262\/19 = 0. What is x?\nAnswer: -3631, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 5b99?\nAnswer: 5b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 6. Sort p, -1, 4 in increasing order.\nAnswer: -1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3161 in decreasing order.\nAnswer: 3161, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.02 from -98370.7.\nAnswer: -98366.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/30 + 35*f**4\/24 + 5*f**3 + 4*f**2. Let x(u) be the first derivative of v(u). Differentiate x(h) with respect to h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8315.807 hours in minutes?\nAnswer: 498948.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 33 + 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let i(n) = 28*n**2 - 1. Calculate i(b(y)).\nAnswer: 112*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 219*u + 1116. Determine c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**3 + o**2 - 1. Let y be h(1). Suppose -t - t - 2 = 0. Is 5\/t*y\/(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -79*f**2 - 4. Let l(y) = -77*y**2 - 3. Calculate -4*l(c) + 3*o(c).\nAnswer: 71*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262453 times 0.03?\nAnswer: 127873.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11139? (a) -0.1 (b) 0.04 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1265560821479 and 3.\nAnswer: -1265560821476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -3\/47258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-27)\/q**(-6) assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))**(-32)\/(y**9\/((y**(-2)*y)\/y)))**(-2\/27) assuming y is positive.\nAnswer: y**(302\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 33. Let g = -223\/805 - 1\/115. Which is the third smallest value? (a) k (b) 4 (c) -64\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a. Let n be b(5). Suppose m - 2 = 0, 2*d + 0*m = 4*m + n. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = 3*r - 0*v, v + 2 = 0. Let k = 4 - 1. Let w = 672 - 667. What is the second biggest value in w, r, -4\/7, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = z - 3*z - 14, -4*i - 4 = 0. Suppose d - 4*s + 7 = 0, -5*s = -2*s - 9. Let b = z + d. Is b bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/80 - 113*s**4\/6 + 43*s + 3. Let m(a) be the third derivative of l(a). Let h(p) = 30*p**2. Determine m(h(g)).\nAnswer: 270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6901 and 335?\nAnswer: 34505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 30*o**2 - 35*o + 48. Let c be n(16). Suppose -z + 5*j = -1374, c = -3*z - 4*j + 8*j + 4155. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-5))\/((-4)\/20). Let u(b) = b**3 - 9*b**2 + 2*b - 12. What is the lowest common multiple of 8 and u(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/d**(-1\/3))**(2\/27)\/(d**(2\/3)\/(d\/d**0)*d*d*d*d**3\/d*d\/(d*d*d**6\/d*d)) assuming d is positive.\nAnswer: d**(385\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) -0.5 (d) 10107\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - y = 2, -1 = -4*h - 16*y + 13*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.4, -0.5, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 + k - 2. Let x be q(3). Which is bigger: 8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*j + 60039, -4*j - 4*u + 9*u = -80050. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from hhyhhhyhyhyyh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(288)*3)**2 + sqrt(288) - sqrt(288)) + -5 + 5.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 54704*f + 333. Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z**(2\/7))\/(z**(-2\/9)\/(z*z**(-12))) assuming z is positive.\nAnswer: z**(-220\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 - 2*h + 5. Let l(w) = w**2 + w - 1. Let d be 1 + 4 - (-5 - -9). Let j(g) = d*p(g) + 6*l(g). Let x = -7 - -12. What is j(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 45 = -2*m. Calculate the least common multiple of m and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to -1607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Sort q, 1\/10, 0.5, -0.03.\nAnswer: q, -0.03, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-13 - -9) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, r: 1}. What is prob of sequence rii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594930 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2 + 3*t**2 + 6*t**4 + t**2 - 7*t**4 + 2*t to the form x*t**2 + v + c*t + w*t**3 + n*t**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2.8. Let k = 0.545 - 0.045. What is the closest to -2\/3 in u, k, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 20870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:07 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and 0.036511.\nAnswer: -0.563489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7 + 17 = 0. Let b be (0 + 10)*2\/(-4). Sort 1, b, r.\nAnswer: b, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*o + 1. What is the tens digit of 16\/3*(-27)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.906699 days?\nAnswer: 683138793600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96702, 96716, 96746, 96798, 96878, 96992, 97146?\nAnswer: 97346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 69. What is the biggest value in 4, z, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**2 + 6*b**2 + 3*b**2 - 1 + (-24*b - 25*b - 36*b)*(-b - 3*b + 2*b).\nAnswer: 171*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 26*c**2 - 2*c + 57. What is r(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 23. Let v be (-2)\/(-6) + 8\/g. Sort -5, v, -12 in decreasing order.\nAnswer: v, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 2598*l + 190536.\nAnswer: -3*(l - 68)*(l + 934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 754, 2401, 5146, 8989?\n\"Answer: 549*d**2 + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 - -272. Solve 4*a - 4 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -52.2 (c) -2\/7 (d) 4.6 (e) 2\/9 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*h**2\/4 - 133*h\/4 - 29.\nAnswer: -(h + 1)*(17*h + 116)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111 - -110001110110000000?\nAnswer: 110001110011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t + 4*s + 3, 5*s = 4*t - 6. Let b = 17 - 13. Suppose -3*r + 14 = b*r. Sort -7, t, r in ascending order.\nAnswer: -7, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2208 and 3936.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 584.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**7\/3360 - n**6\/240 - n**5\/40 + 5*n**4\/8 - 7*n**2. Let o(w) be the second derivative of v(w). Let o(u) = 0. What is u?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 11. Suppose -4*w - 2 = -b*w. Suppose 3*r - 4*v - w = 1, v = 4*r - 20. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570198*t + 1570198*t + 242*t**3.\nAnswer: 242*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/78 - 1\/13. Let b(o) be the second derivative of -5\/12*o**4 + 1\/3*o**3 - 9\/20*o**5 + i*o**7 + 0 + 0*o**2 + 1\/6*o**6 - o. Let b(x) = 0. Calculate x.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -34\/836641?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/40)*t**(12\/7)\/t*t*t*t\/(t**24*t)*t*t*t*t\/(t\/t**(-1\/2)) assuming t is positive.\nAnswer: t**(-4987\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = c, b + 3*c + 10 = 35. Solve -3*o - 3 = 0, -2*o + b = -4*x - 6*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, -0.5, 3, 2 in decreasing order.\nAnswer: 3, 2, -0.36, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28718 and 2158?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*r = -24, -r + 1 = -2*p + 11. Let c(i) = 5*i**3 + 3*i - 5. Let z(x) = -4*x**3 - 4*x + 6. Let f(u) = p*z(u) + 4*c(u). Differentiate f(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 11*g**4 + 13*g**2 + 26*g + 413. Let z(u) = 5*u**3 + 3*u + 3. Give 6*c(t) - 52*z(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 9555928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10051060 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8272645 is divided by 8272499?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p + 45. Let r be d(2). Suppose 5*b + 2 = 12. Suppose u - s - 189 = 0, -4*u - b*s = 370 - 1126. What is the highest common divisor of u and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7 + 0*a**2 + 0*a**2 - 2*a**2 + 14*a**2. Let f(l) = 11*l**2 - 6. Let d(z) = 7*f(z) - 6*k(z). Let v(c) = -c**2. Determine v(d(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3831390 divided by 90\nAnswer: 42571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**5 + 0*r**2 - 25\/42*r**7 - 1\/3*r**3 + 0*r**4 + 0*r**6 + 0 + 28*r. Find the second derivative of f(v) wrt v.\nAnswer: -500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964302 is divided by 848?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.8. Let y = -635 - -635. Suppose -5*j + 90 - 100 = y. Sort u, 2\/3, 4\/7, j in decreasing order.\nAnswer: 2\/3, 4\/7, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, 5, -2995382, -1, -0.3 in ascending order.\nAnswer: -2995382, -3, -1, -0.3, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1251 - 1044. What is the highest common divisor of 36 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 607?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -3*sqrt(2057) - (sqrt(17) + sqrt(2057) + sqrt(17))*-4.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -32 - 62. Suppose -3*s = 4*p - v, p + p = -s + 25. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -89. Solve -3*r + m*p + 2 = -16, -9 = -r + 4*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47098625 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z + 5. Suppose 46*p = 50*p - 12. Suppose -p*h = 5*y - 92, 0 = -5*y + 2*h + 66 + 6. Calculate the remainder when v(-4) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, 760 in decreasing order.\nAnswer: 760, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3493\/5988)\/(5\/(-30)) + 13*-1\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -2*d**6\/5 - d**4 + 3*d. Find the third derivative of i(l) wrt l.\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29332, 29333, 29334, 29335, 29336, 29337?\nAnswer: 29338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/364*70)\/(((-8)\/30)\/(2\/(-25))).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 41111?\nAnswer: 41116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 236037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.108 rounded to one decimal place?\nAnswer: -125.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 614073 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 15*r - r**2 - 18 - 49*r in the form a*r**2 + n + x*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 7, y: 5, t: 2}. What is prob of sequence ycyt?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (6 - (5 - 6) - 4)) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4366?\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 175631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**2*y**2 - 4440744*x*y**2 + 58*x + 1182813*y**2 - 98 wrt x.\nAnswer: 4*x*y**2 - 4440744*y**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/30)\/(14\/(-25104)). Let b = -750\/7 + g. Find the common denominator of 63\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 - 44*l - 3. List the prime factors of y(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(3234\/(-1022)) - 5\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1804167 (base 9) to base 16.\nAnswer: f5d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + (sqrt(605) + -1 + sqrt(605) - sqrt(605) - sqrt(605))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132686 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z + 757 - 692 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 12. Suppose 20*r - 15 = 17*r. Suppose 3*x - 87 = -r*o + x, 3*o = 4*x + 73. Does 31 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 19*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*z + 65*z + 39694 + 39701 - 79391 as d*z + p and give d.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121322.\nAnswer: 2, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 26*i**2 + 51*i - 40. What are the prime factors of r(-19)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1878 + -2729. Is a <= -5954\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/((3\/(-10))\/3). Suppose -3*b = -368 - n. Suppose -4*r = 2*a + 58 - b, 8 = 2*r. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwnopuuccuoncnpu. What is prob of sequence upu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i - 40 = 0. Suppose g = 0, 5*v + 0*g + 2*g + 5 = 0. What is the units digit of 12\/i*(-4 + v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4617*z**3 + 55512*z**2 - 23988*z + 2640 = 0. Calculate z.\nAnswer: 2\/9, 220\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224 + 234. Suppose -2 = -x + 36. Calculate the remainder when x is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3200)*1 - (-4 + sqrt(3200)*-2))**2 + 5*1*(1 + sqrt(3200))**2 + -2)*-6.\nAnswer: -268842 - 5280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let b(g) = -3 + 0 + 13 + 4349*g - 12. Give l(b(a)).\nAnswer: 18913801*a**2 - 17396*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195 - -218) + (-23 - 1) + 129 - 23?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/9)*c*c**(2\/13)\/c*c)**(-42) assuming c is positive.\nAnswer: c**(-2618\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = -15. Suppose -5*w - 33 = -5*g + 2, -w + i = 2*g. Solve -8 = f - 5*f - g*r, 2*f - 2*r = -8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9 - 5*j**3 + 2637*j**2 - 28*j**4 - 253*j**4 - 20 + 11 wrt j?\nAnswer: -6744*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 23*v**2 - 25*v - 30. Let d be r(-24). Let i(h) = -h**2 - 6*h - 3. Determine i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9 + 1.9. Sort q, 0, -1\/8 in increasing order.\nAnswer: q, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2206 - 2161 + 3*j + 6*j + j**4 - 3*j + 2*j in the form u*j**3 + x*j**2 + h*j + q + k*j**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(65)*-1 + sqrt(65))\/sqrt(5) + -3)**2*-2 + 1 + (-1*(sqrt(13) + -3) + (sqrt(13) - (-1 + (sqrt(13) - sqrt(26)\/sqrt(2)))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.9865727 or 3?\nAnswer: 9.9865727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16923 = 10*h + 781*h - 78*h - 24431 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21177026674902 and -5.\nAnswer: 21177026674897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k + 79 = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + 2 + sqrt(343) + sqrt(343) + -2 - (2*(sqrt(343) + 0) + 5))*-4 + 3)**2.\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90250676 divided by 164?\nAnswer: -550309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -175a + 1206?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.40346 micrometers in millimeters?\nAnswer: 0.02840346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, f: 2, m: 5, c: 1, j: 2}. What is prob of picking 2 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jak when three letters picked without replacement from {l: 1, j: 2, k: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-12)\/10*90\/27. Suppose -5*m - j = -19, -17 - 8 = -3*m - a*j. Factor 2\/21*c**4 + 2\/21 + 0*c + 0*c**m - 4\/21*c**2.\nAnswer: 2*(c - 1)**2*(c + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 62 (c) 0.2 (d) -1\/4 (e) 4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 375046304*u - 17582466268007552 = 0. What is u?\nAnswer: 93761576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/7, -5, 0, 0.09076, -1\/8, 4, -0.9?\nAnswer: 0.09076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 373\/3293 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23403, -47009, -70613, -94215?\nAnswer: -117815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 + 9*q. Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 0.7, -3\/5, 0.67, 2\/23 in decreasing order.\nAnswer: 3, 0.7, 0.67, 2\/23, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.16 (b) 1\/7 (c) -2 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1561 + 2312. Let x = 970279.6089 + -971030.6088607. Let s = x + a. Round s to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.063 and 11873.\nAnswer: 747.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 + 29 = -3*y, 5*w - 67 = y. Suppose -m = -17 - w. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1527 + 10*o**3 + 1527.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49101019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = 20*i - 93. Let g be 4\/3*6\/4. Solve 0 = -g*w + i*y + 2, -3*w = -y + 1 + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141588, 566355, 1274308, 2265447, 3539772, 5097283?\n\"Answer: 141593*j**2 - 12*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**7*y*y\/(y**(-6)*y*y)*(y*y\/y**1)**(-5\/2) assuming y is positive.\nAnswer: y**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = -5*o, 2*h + 3*o - 54 = -o. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/(-12) - 4\/(-16). Is 78\/g*(-6)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1676664 and 3168?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 3*k + 4*s + 10, -s + 1 = k. Suppose -k*c - 3 = -c + 4*b, 0 = 5*c - 4*b - 81. Solve y - t - 5 = 0, 0*y = -3*y + t + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476 and 631176.\nAnswer: 631176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 27*w - 3*w + 5*w.\nAnswer: -2*w**2 + 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 2138 = -42*g. Solve -g*a = -52*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32873177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 1928460*r + 185947898580.\nAnswer: 5*(r - 192846)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - (-2 + 5)) - 6 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(((-6)\/(-10))\/(6\/4)). Let x = l + 70. Suppose x*v - 62 - 98 = 0. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798280.9ns to microseconds.\nAnswer: 798.2809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594 and 27?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3494*g - 3455*g + 429 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79392*k**2 + 39683*k**2 + 39683*k**2.\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -2*s**7 - 3*s**5\/5 - 55*s**3\/3 - 11. What is the third derivative of x(j) wrt j?\nAnswer: -1680*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.039339439 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47\/(-2)*(0 - 2) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207 by 8.\nAnswer: 207\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-3) + 3 + -4. Let l = -360 + 374.7. Let u = l - 15. Which is the closest to 2? (a) -1 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 96. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 3*v. Let q(o) = 65*o - 169. Let x(y) = -11*y + 26. Let p(c) = 2*q(c) + 13*x(c). Determine r(p(f)).\nAnswer: -676*f**2 - 39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4879. Let v be y(0). Let b = 379 + v. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/15 + 251\/3. Let g = l + -89. Let w(m) = -m**3 - 4*m**2 + 2*m - 5. What is w(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 + 4)*2\/(-2). Suppose 5*k = -5 + p. What is the second derivative of 0*m + m + m + m**k wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 2*j**2 - 2. Let g be z(-2). Suppose 2*u - 31 = 39. What is the greatest common factor of g and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let z(k) = -13*k**2 - k + 7. Let b(p) = 5*l(p) + z(p). Let c = 119 - 124. Let u(q) = 9*q**2 + 4*q - 5. Let i(h) = c*b(h) - 7*u(h). Factor i(f).\nAnswer: 2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/3)))\/((j*j*j**(-1\/4)*j)\/j))\/((j**(-11)*j*j)\/j**2) assuming j is positive.\nAnswer: j**(107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41370687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 10*r**2 + 12*r - 15. Let x be l(9). Solve 5*d = -2*k - 6, -k = d + 3*k + x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -s - 2*x, -15*s = -10*s - 4*x. Let h(u) = -3*u**2 + u + 2. Let j(a) = -5*a**2 + 2*a + 3. Let d(y) = -8*h(y) + 5*j(y). Determine d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {b: 6, z: 4, w: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -416*v**3 + 414*v**3 + 23*v - 8*v to o*v**2 + n*v + g*v**3 + f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 619 = -73. Let p = i - 169. Solve -3*z = -p*n + 2 + 1, 0 = -5*n + z + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*x + 5*q - 24 = 0, -27 = -5*x - 4*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:06 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:47 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046546175 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtbb. What is prob of sequence db?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/5 + 912*t**4\/5 + 11042*t**3\/5 + 42444*t**2\/5 + 11083*t + 4620 = 0. What is t?\nAnswer: -5, -1, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2\/2 - 2*z - 11. Let p be t(-6). Suppose -p*q - q = 0. Solve 4*o - 5*o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.557 - 8.443. Which is the second smallest value? (a) 0 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 138 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.21 + -0.03. Let p = -1.106 + t. Round p to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142652566 (base 7) to base 5.\nAnswer: 4402024342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*w + 5*i - 40*u*w - u wrt w?\nAnswer: -i - 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*g = -2*g - 4, p - g = 10. Let o(m) = -23*m + m + m - p*m. Let r(t) = -t. What is r(o(w))?\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 23, 2\/9, -3275, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 14 = g. Let p(l) = -2*l**3 - 7*l + 6*l**2 + 2*l**3 + 10 + l**3. What is the smallest common multiple of p(g) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(-516))\/(5\/(-4)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54618\/32707 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14324, -14323, -14322, -14321, -14320?\nAnswer: -14319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0.3 (c) 0.1 (d) -9 (e) 0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 + -1)*(20 + -348) and 451.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 5*m + 148 = -97, 2*u + 513 = -2*u - 13*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*i - 4*i. Let u(y) = y**2 + 6*y + 7. Let k be u(i). Suppose k*t = -t. Solve t = -5*q, 0 = 5*f - 5*q + 4*q + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 + 3231*f**3 - 2567198*f**2 = 0 for f.\nAnswer: 0, 1409, 1822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 93093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {f: 2, z: 2, s: 1, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/41)\/(u**(2\/59)*u*u))\/(((u**(2\/89)*u)\/u)\/(u*u**19*u)) assuming u is positive.\nAnswer: u**(4067891\/215291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 1543824.\nAnswer: 7719120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154281, 617125, 1388531, 2468499, 3857029?\nAnswer: 5554121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4\/8*-2. Let t = r + -5. Let u(f) = 5 + 8*f - 2*f + f - 6*f. Give u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/24 + 103*10\/6. Suppose -2*j + x = -528. Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 874 (b) -4\/5 (c) -16\/7 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:49 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 + 2) + 3. Suppose 0 = -g + 6 - y. Calculate the common denominator of (g + -4)*(-7 - 0) and -101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 27*u**2 - 4*u**2 + u**2 + 2*u**2 - 7*u**2 + (-2 + 3 + 1)*(3*u**2 + 3*u**2 - 2*u**2) to the form z*u + k*u**2 + p and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -59563762 divided by -19177\nAnswer: 3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*f**2*h**3*j**3 - 25*f**2*h*j**2 + 3*f*h**2*j**2 - f*j**2 + 20*h**3*j**3 + 14*h**3 - 2*h*j**3 wrt j.\nAnswer: 72*f**2*h**3 + 120*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 299, 675, 1213, 1919?\n\"Answer: p**3 + 72*p**2 - 3*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -4*w**3\/3 - w**2\/2 - 2*w. Let h be x(-1). Let g be h\/3 - (-2)\/(-6). Solve 0 = 4*t + 12, -8 = 5*f - 2*t - g*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 + -318.57. Let k = -1.2 - c. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*h + 80, 2*h - 4*f - 66 = 14. Let c(j) = -80*j - 40. What is the least common multiple of h and c(-3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 2*j**4\/3 + 2*j**3\/3 - j**2\/2 + 1181*j + 2. Let r(f) = 9*f**2 + 3*f - 1. What is 3*p(b) - 4*r(b)?\nAnswer: -12*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 = 8. Suppose 4*d = 3*b - 40, 0 = -b + c*b + 2*d - 22. Let z be (-4)\/2 - (-33 + 1). Calculate the greatest common divisor of z and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102220120122 (base 3) to base 14\nAnswer: -15d172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000207585 rounded to six decimal places?\nAnswer: 0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -256.18\nAnswer: 256.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0 in ascending order.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5305?\nAnswer: 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430012 and 117276?\nAnswer: 1290036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-2)\/(-1) + -2. Suppose -p*i = -5 - 37. Suppose 0 = 2*m - 9 - i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*a + 19*a - 72. Let o = 11 - 21. Is o equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 3*g**2 - g - 5. Let u be s(-5). Suppose z + u = 6*z. Suppose 5*h = 7*h - 140. Calculate the highest common divisor of h and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*i**2 + 2*i - 11*i + 8*i - 2 - i**4 to the form o + z*i**4 + t*i + m*i**2 + a*i**3 and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k - 1. Determine b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0 + 9*m + 1 + m**2 - 5*m - 3*m. Let b(u) = 5*u**3 + 9*u**2 + 4*u + 4. Let p(v) = -4*a(v) + b(v). Factor p(d).\nAnswer: 5*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:40 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*-1*(-5 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/5, 4, 17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 1. Let r(g) = 11*g**2 - g - 6. Let b(l) = r(l) + 6*u(l). Let z be b(1). Solve -p = -4*d + 6 + 18, -z*d + 12 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32789 minus 1?\nAnswer: -1.32789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 = 4. Let q = n - 27. List the prime factors of q*(93\/(-15) - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-92)*((-3)\/(-6))\/(28\/(-56)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 65*j - 3294 - 1986 = 0 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, y: 1, x: 4, f: 2}. Give prob of sequence yp.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429803 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80714*l - 80710*l + 161424*l + 1 + 1022*l**2 - 1.\nAnswer: 1022*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 32*w - 122. What is y(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + d + 2, -4 = -b - 3*b + 5*d. Let j be 13 - (1 + b) - -1. Suppose -45*h + 47*h - 8 = 0. Solve h*n = -4*f + j, 0 = -4*f + 3*n - n + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 161*n - 4344. Let q be w(27). Let l(x) be the third derivative of 1\/3*x**3 - 2*x**2 + 0*x - 1\/24*x**4 + 1\/120*x**6 + 0 - 1\/15*x**5. What is l(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*t + 532*t - 9806 = -1101*t - 64707 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 + u**2 - 2*u - 1. Let r be a(2). Let i be (1 - 9)*(-4 + 1 + -8). Suppose -i = -h - r. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101111011110100011 (base 2) to base 6.\nAnswer: 33005111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 3*f**2 - 8*f - 11. Let q = -1071 + 1066. What is i(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 8*d**2 - 10*d - 15. Suppose 27 = -i - 2*i. Let t be b(i). Is t\/(-30) - (2 - 3164\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*u + 35, -u + 4*o - 1 + 11 = 0. Let f = 10 - u. Find the second derivative of 5*m + 2*m - 7*m**f + 6*m wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1900)*2)**2 + (sqrt(1900)*-1 + sqrt(19))**2 + 3.\nAnswer: 9147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 1819074\nAnswer: -72762.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 64*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-28 - -11) + (-23 - -3) + (-9 - -22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Let x be h\/(-8)*8\/((-120)\/9). Let n = -0.04 + -1.96. Sort n, 4, x in decreasing order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(3328)*-1 + -3*(1 + sqrt(3328))))**2.\nAnswer: 896*sqrt(13) + 53297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgsmgsdim. Give prob of sequence sg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 - 1352*j**2\/5 + 84234*j\/5 + 54948924\/5.\nAnswer: 2*(j - 417)**2*(j + 158)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*h - 653, 0 = -o - 6*h + 3*h + 340. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5272212.\nAnswer: 2, 3, 11, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 - 4789*n + 4 + 4790*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agapgguapg. Give prob of sequence gag.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 3*m + 6*s, 283*m = 280*m + 2*s - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1080 + (-6 - -10 - 7). Let o = p + -747. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l - 54. Suppose 102*d - 343 = -117*d + 268*d. What is n(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)*2\/6. Suppose 0 = 3*i - n - 76, s = 4*i - 4*n - 63 - 49. Suppose -p + i = -20. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3704362736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/5 + 13*r**4\/12 - 14*r**2. What is the second derivative of j(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*k - 33*k + 1836 = 12*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + 4 - (0 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 3*(0 + sqrt(112)) + sqrt(112)*-2*5))**2.\nAnswer: 1008*sqrt(7) + 49428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -1, 16456932, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g + 20. Let b(d) be the third derivative of -7*d**4\/24 - 7*d**3\/6 + d**2. Suppose 6*u = u + 2*i - 30, -4*u - 4*i = 24. Determine u*n(t) - 17*b(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 3*j, 5*j + 2 = 8*v - 6*v. What is the closest to 1 in 12\/5, v, 0.5, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-159)\/(-9) + (-2)\/(-6). Let v = 5 + l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 - 245*r + 309 - 148 in the form y*r + w and give y.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -5*c**4\/4 - 2*c. Let h(b) = -24*b - 11. Let j(f) = 13*f + 6. Let r(z) = -6*h(z) - 11*j(z). Give m(r(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 190, 492, 878, 1330, 1830, 2360?\n\"Answer: -3*j**3 + 60*j**2 + 143*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -105 (c) -110 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 + 5*m**3 - 23*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3486 - 3459. Let g be (-16)\/6 - 1\/3. Is 23 a factor of (-140)\/g + (-18)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*p**6*r**3 - 992*p**4*r**2 - 66*p**2*r**3 - 142*p**2*r**2 - 8*p**2 - r wrt p.\nAnswer: 11520*p**3*r**3 - 23808*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314155 (base 7) in base 16?\nAnswer: -29f9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 12*i - 24. Calculate p(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (15 - 4) - (29 - 73)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 5 (b) 3 (c) 8 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/2 - 13*q\/2 - 20 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85 + 0*n + 2*n + 0*n - 12*n**4 - 2*n - 3*n wrt n.\nAnswer: -48*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96)\/(-240)*63790\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -12*f - 43. Calculate the lowest common multiple of 30 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 11. Suppose 5 - 25 = 4*i, -2*n + 4*i = -36. Let r be j(n). Let q = r + -9. Calculate the highest common divisor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 11430?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 2 - 7)*(-2*r**3 + 5*r - 5*r - r**3 - 3*r**3 + 0*r**3 + (0*r**2 - r**2 + 2*r**2)*(-3*r - 2*r + r)).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -392, -5, -8, 3, -1 in descending order.\nAnswer: 3, -1, -5, -8, -38, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -198, -435, -762, -1179?\n\"Answer: -45*u**2 - 12*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 14*p - 29. Let c be y(-16). Suppose -c*h + 4*m = -41, -66 - 26 = -4*h - 4*m. Put h, 4, 5, 1 in descending order.\nAnswer: h, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 0 = 3*b - 4*b + g. Suppose -4*w + 4*v + 13 + 211 = 0, -b*w + 168 = 2*v. Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5229\/1260)\/(-83))\/((-6)\/(-16)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2053000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7736 = -72*j + 80*j. Let l be (8 - (-3)\/(-3)) + -2. Suppose l*f = c - 963, -4*f + 9*f + c = -j. Round f to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3159 and 3.\nAnswer: 1.6841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, j: 1, e: 1, g: 1}. What is prob of sequence legr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -5*d**4\/12 + d**3\/6 + 5*d**2\/2 + d. Let b be 45\/27 + 4\/3. Let y(x) = 4*x**2 - x - 4. Give b*l(a) + 4*y(a).\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 19*d = -18*d - 1780 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270829087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694983?\nAnswer: 71, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*w - w = 8, 5*a + 2*w = 40. Let x(j) = -3*j + 6. Let s be x(4). Let l be (-4)\/6 - 388\/s. Calculate the greatest common divisor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8855 and 10120.\nAnswer: 70840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 + 91 - 74 - 38*j + 10*j - 8*j**2 as o + x*j**2 + t*j and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 508 + -507.9875. Which is smaller: g or 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/297 and (-4*(-6 + (-286)\/(-48)))\/((-13)\/(-201)).\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 903*i**3 - 3341*i**2 + 8*i + 8. Let b(x) = 902*x**3 - 3341*x**2 + 10*x + 10. Let z(p) = 4*b(p) - 5*r(p). Find the third derivative of z(d) wrt d.\nAnswer: -5442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -943 divided by 14031.\nAnswer: -943\/14031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -258500 (base 10) in base 6?\nAnswer: -5312432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 5, d: 2, i: 2, n: 1}. Give prob of picking 1 i, 1 a, 1 d, and 1 j.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-96)*-3*4\/5 and 79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27691524 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -18. Put -6, m, 2 in descending order.\nAnswer: 2, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/9 + 186130*f\/9 - 62044\/3 = 0. Calculate f.\nAnswer: -93066, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 - 4*z. Let l(s) = -36*s**2 + 19*s. Determine 2*l(j) + 11*v(j).\nAnswer: 5*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 2\/7, -0.5, 7.02, -61?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*d + 2*c, 56 = 3*d + 29*c - 25*c. Suppose -1216 = -7*f + 3*f. What is the greatest common factor of f and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -12, 3 in descending order.\nAnswer: 5, 3, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*k = -1220, 2*v + 28*k - 481 = 23*k. Let c be (-2)\/7 + (-2409)\/21. Let x = v + c. Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from sjbbbmq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35076362831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 210. Suppose 1 = -4*m - 19. Does 13 divide m*(v\/10 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (-1 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-328)\/32*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x**2 - 81*x**2 + 40*x**2 - 2 - 26*x**2 as m*x + r + a*x**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/695 and 41\/30.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 2*v**3 - 4*v**3)*(0 + 1 - 7) + (4*v + v - 4*v)*(2 + 2 - 3)*(5*v - 4*v + 0*v)*(0*v + v + v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4206*v**2 - 7*v**3 - 4206*v**2 - 36*v**3.\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 264, -5, 18 in descending order.\nAnswer: 264, 18, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1235009503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 108 = -2*u. Let o = 16 + -14. Suppose -s + 156 = o*g, 0*g - g + 78 = s. What is the remainder when g is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3580 divided by -329?\nAnswer: 3580\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.125 - 0.125. Let d = m - 33. Let p = d + -26.0000044. What is p rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -16)\/(0 + -2). Calculate the common denominator of 1222\/52 + h\/(3\/(-5)) and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.90874 millennia to months.\nAnswer: 910904.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1062.25 and 0.5?\nAnswer: 531.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*v - 22, -4*z + 3*z - 2*v - 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142 and 5.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/16*1\/3*2\/(-2).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 64*m + 1. Suppose 53*h - 2 = 75*h - 24. Determine s(h).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.86573 litres to millilitres.\nAnswer: 2865.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 22*q + 4. Let z be y(11). Suppose z*v - 95 = -51. What is the greatest common divisor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 51555 = 5*i, 41*k - 4*i = 43*k - 20614. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 = -200*q + 159. Put q, -0.08, 35\/2 in descending order.\nAnswer: 35\/2, -0.08, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (31 - -1)) + 129?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492884 and 68614.\nAnswer: 83297396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667630, -667504, -667368, -667222, -667066, -666900, -666724?\nAnswer: -666538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**3 - 2*k**2 + 6*k - 4. Let n be g(2). Suppose -79*t + n*t = 24. Suppose 3*y + t = -3*y. Let o(a) = -3*a**2 - 5*a + 1. Determine o(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37542 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/23206 and -83\/328.\nAnswer: 92824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395*2.5.\nAnswer: 987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42931 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 18*g - 1834. Give b(35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-6))\/(30\/36). Let v be (a + -3)\/(1\/(-108)). What is the greatest common divisor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089536 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 5. Let y be ((-8)\/10)\/(4\/(-10)). Suppose y = -4*x - 18. Let v(u) = 3 - 2 + 0. What is x*v(f) - j(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -358708 at least as big as -2510952\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -79. Let s = -17 - v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 169, 378, 671, 1048, 1509?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 2. What is the second biggest value in 4, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -118. Calculate the highest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 76 + 134. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -3*h + 66. What is the second derivative of 34*o**2 - 10*o**2 - h*o**4 - 21*o**2 - 48*o wrt o?\nAnswer: -72*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134038 at least as big as 9784808\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 21 = -6. Suppose s*l = -2*f - 4, -f - 6*l - 8 = -3*l. Solve -f*j = -0*q - 3*q, 5*j = -5*q + 35 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h - 5*m + 385 = -62*h, -1585 = -4*h - 5*m. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -64\/7 (b) 6 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 2*f**3 + f**3 + (-3 - 12*f + 12 + 14*f)*(-5*f**2 + 5*f**2 - 2*f**2).\nAnswer: -6*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*(-4)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 + 178*n**2 - 48*n + 54. Calculate b(-20).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 - z**2 - 1. Let s be v(3). Let o be ((-885)\/30)\/((-1)\/(-2)). Let p = o + s. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 + 7 = 0. Let c be (-1 - 3\/6)*g. Let m(a) = 9*a**2 + a + 2. Let u be m(c). What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/579, 1, -1\/5.\nAnswer: -1\/5, -1\/579, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -44, -46, -48, -50, -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(-3*153\/(-135)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559216.\nAnswer: 2, 7, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194858624 and 6089332.\nAnswer: 194858624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 49 = 6. Let b(q) = -q + 29 + 27 - k. Let c be (-5)\/((-5)\/(-6)) + 2. Calculate b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -2*t. Solve 0 = -3*k - k + t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 32 = b + 10, -k + 2*k - 15*b = -13*b + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*s**3 + 44*s**3 + 214*s**3.\nAnswer: 314*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o + 1. Let i be m(-2). Suppose -2*w - p + i = -0*w, 2*p = -w. Solve -l + w = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22*w**3 - 11*w**2 - 7*w - 8. What is the tens digit of b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376962397 to the nearest integer?\nAnswer: 19416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 26 - 35)*(z**2 + 0*z**2 + 0*z**2) to the form x + l*z**2 + d*z and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -56*j**2 + 19*j**2 + 15*j**2 - 31*j**3 + 21*j**2. Suppose 5*u - 1 = 5*f - 11, -u + 3*f = 4. List the prime factors of g(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2 + 2 + 2)*(h + 2 - 7*h + 7*h).\nAnswer: -4*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5*(-1)\/(-45)*21\/3)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594\/220 + (0 - (-25)\/(-10)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25301, 51582, 77863, 104144, 130425, 156706?\nAnswer: 182987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**11)\/a**9 assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 6. Determine r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2 - a - 1 + 2*a**2 - a**2 - 2*a. Let p = 5 - 1. Calculate m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -5\/6*z**3 + 0*z**5 + 0*z**4 + 1\/42*z**7 + 0*z**6 + z**2 + 0 + 0*z. Find the first derivative of x(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 271208 and 9744?\nAnswer: 1627248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*j + 1. Let w(c) = c + 18. Give w(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**5\/3 + 1564*a**4\/3 - 63004*a**3\/3 + 145072*a**2\/3 - 107338*a\/3 + 23716\/3 = 0.\nAnswer: 2\/5, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/30*(-48)\/(-9048).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 473 - 464. Calculate the remainder when 40 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.03 + -28\nAnswer: -56.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6074464 and 552224.\nAnswer: 6074464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) - (2 + (-205)\/100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2014436 to 4 decimal places.\nAnswer: -0.2014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 + -230. Let z(h) be the first derivative of -1\/3*h**3 - 6 - o*h**2 - h. Calculate z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1602672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -76*v + 81*v + j, -4*v - 34 = -5*j for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2002\/(-455)*40\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 294 = 4*o, -5*d - 2*o - 693 + 2075 = 0. Let t = 393 - d. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185 (base 13) to base 8.\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2287171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 - -1431420?\nAnswer: 1430123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -779?\nAnswer: -4\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 - 8*l**2 + l**3 - 3 + 5*l**3 - 9*l**3 to the form j*l + k*l**3 + h + q*l**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggswgwgwggwgwg. Give prob of sequence sg.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1211 + 312 + 1517 - 427)*(-q - 2 + 2) in the form r*q + h and give r.\nAnswer: -2613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 33 + 2*m**3 + m - 3*m**3 - 32. Let d be z(-2). Suppose 6*g - d*g = 4*o - 37, -4*o + 16 = 4*g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m**2 - 4*m**3 + 48*m**4 + 5*m**3 - 46*m**4 to k*m**4 + x + p*m**3 + n*m + z*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338, -1337, -1336?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5537 - -91936. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -2. Suppose 4*m + 6 = -2*c, -3 = g*c + m - 6. Solve 3*n - c*f - 15 = 0, -f - 5 - 8 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jma when three letters picked without replacement from jjmttjyjajtmjj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 3}. What is prob of picking 1 f and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 3*v - 3*v**2 + v**4 + 3*v - 1 - 2*v in the form w + k*v + t*v**3 + h*v**4 + r*v**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20188 at most 20241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 2*f**3 + 2*f**2 + 4*f**3 in the form v + n*f + o*f**2 + l*f**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.2, 2, 499, 403, 5.\nAnswer: 0, 0.2, 1, 2, 5, 403, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/(-2) - 572*125\/(-11000).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - -17 - (-4 - -36) - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by 417.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1306363\/106 - -12324. Let t be 946\/(-636) - 15\/(-10). Let z = t + j. Sort 1, z, 4 in decreasing order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(3 + sqrt(128) + (sqrt(128)*-1 - sqrt(128)))*1 + 2.\nAnswer: -16 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (148 - 70) + 16 + -10\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 7. Let r be 78\/14 - 12\/(-28). Suppose 3*z = -0*z - r. Let a be (-477)\/99 - z\/(-11). Give w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -447, -661, -857, -1029?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7 + 1. Let t be 3\/9*0\/p. Suppose f = -2*r + 5 - 2, t = f + 1. Solve 1 + 5 = r*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 19*c**2 + 1052. Let g(t) = -24*t**2 + 21*t. Let b(w) = -w**2 + w. Let m(f) = 42*b(f) - 2*g(f). Calculate m(u(y)).\nAnswer: 8664*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 4*h + 0*h + 5*h + 5*h + 0*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/5 + -28\/15. Let k = 2328\/655 - -6\/131. Let v = k - 121\/35. What is the closest to r in 2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(363) + sqrt(363)) - (-5*(sqrt(363) + sqrt(363) + -3*sqrt(363) - sqrt(363)) - sqrt(363)))**2.\nAnswer: 220*sqrt(3) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 41*x**5\/60 - x**3\/6 + x**2. Calculate the remainder when u(1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 849287672*q + 180322387452794896 = 0.\nAnswer: 424643836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 32196113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.822923 millilitres in litres?\nAnswer: 0.001822923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (sqrt(832)*-1 + 5)**2 + 5.\nAnswer: -80*sqrt(13) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((-2 + sqrt(147))**2 + sqrt(147) - sqrt(147)) + 2.\nAnswer: -140*sqrt(3) + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 2*n**2 + n + 3. Let u be f(-1). Which is the closest to 1\/4? (a) 0.3 (b) u (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30 - 1\/13*273\/105?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 23*d + 47. Let w be q(-21). What is the third derivative of -24*g**2 + w*g**2 - 10*g**5 + 0*g**2 wrt g?\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b + 3*b**3 + 24879*b**2 - 12379*b**2 - 12500*b**2 - 6*b**3 - 24*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/280 + 3*c**5\/140 + 3*c**4\/28 - 4*c**3\/7 + 1324*c**2. Determine g so that h(g) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 8*i + 11. Let w be h(9). Solve 4*d + 8 = 2*c, 0 = c - w*c - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1116 (base 13) to base 7.\nAnswer: 6645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(13\/2)*m*m)\/(m**(8\/3)\/m)*(m**(-3\/4))**(2\/7))**(2\/113) assuming m is positive.\nAnswer: m**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -227. Let n = t + 394. What is the highest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4 + 0*y + y**2 - 2 + y + y**3 - 3. Let m(p) = -2*p**3 + 2*p**2 + p - 1. Let z(r) = 3*a(r) + m(r). Let u = -4 - 0. What is z(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 21*i**2 + 13*i - 12. What is r(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -945493, -945502, -945513, -945526, -945541?\nAnswer: -945558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2699*n**5*x - 26*n**4*x**3 - 4*n*x**3 + 3*n*x**2 - 2*n + x**3 - 9*x**2 wrt n?\nAnswer: 53980*n**3*x - 312*n**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 30*x**2 + 167*x - 347. Is v(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/5 - 3*u**2. Let w(h) = -h**2 + 3*h - 1. Let d(k) = -3*k**2 + 3*k - 1. Let m(v) = -2*d(v) + 2*w(v). Determine s(m(z)).\nAnswer: 192*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37320 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: What is -70847.08 rounded to the nearest 10?\nAnswer: -70850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 = 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -1955, -2799?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -193, 325, 5 in descending order.\nAnswer: 325, 5, -2, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 14*a + 15. Determine s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5696 divided by -5696?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 - 4*a**3\/3 + a**2\/2 - 5*a - 230. Suppose 3*r + 0*r + 3 = -3*b, -4*b - 12 = 2*r. Determine h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5490, 5450, 5410, 5370?\n\"Answer: -40*g + 5530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = u + 4*w, 0*w + 45 = -u + 5*w. Let r = -51 - u. Suppose 0 = d - r*n - n - 117, 0 = -5*d - 2*n + 531. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 4 + 0*t**2 - 4.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 323*j**3 + 6*j**2 + 7*j - 43. What is the hundreds digit of o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1892 (base 10) to base 12\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 439872203 and -194.\nAnswer: 439872009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-35) - (-12)\/42. Suppose 4*v - v = z, -z - v = 0. Let b = 1 - 1.2. What is the closest to z in -0.1, u, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*i + 4*i + 130 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.581898 take away 0?\nAnswer: -8.581898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1 - (6 + (6 - 3)). Let r be 144\/(-260) - (-2)\/13. Which is the closest to -0.1? (a) 1\/4 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.48 and -1.1.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -44. Let r(c) = -c - 43. Determine -4*r(o) + 3*x(o).\nAnswer: 4*o + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let t(z) be the third derivative of z**4\/24 - 7*z**3\/6 + 3*z**2. Let v(m) = 6*f(m) + t(m). What is the derivative of v(a) wrt a?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 5. Let h be m(-6). Let a(r) = r - 3. Let o be a(h). Let y(p) = p**3 + p**2 + 5*p. Let f be y(0). Solve f = o*n + n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2505 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1113829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -2 (c) -1 (d) -0.3 (e) 160\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -757458 - -43336.876.\nAnswer: -714121.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/60 - p**4\/8 - 35*p**3\/6 - 2*p**2 + 23*p. What is g(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40462*m**3 + 6*m**2 - 5*m + 36305209.\nAnswer: 121386*m**2 + 12*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h + 63. Is y(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126708622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqrrrvzrlr. Give prob of sequence lz.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14834361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 10. Let u(o) = -4*o. What is v(u(z))?\nAnswer: -64*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -129, -143, -175, -231?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 246 = a - 518, 4*a - 4*f - 3044 = 0. What is the remainder when a is divided by 192?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t - 10572 + 134*t**3 + 10572.\nAnswer: 134*t**3 + 85*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + 134\nAnswer: 134.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 2, k: 2, s: 7, c: 2}. What is prob of sequence scx?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11475 + 6928 - 2203 = -120*s for s.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/78)\/((-195)\/2535)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let v = -3 + j. Solve -u - 4*t = -4, -t + v = -0*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 4\/37, 1 in descending order.\nAnswer: 1, 4\/37, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 + 30*a**2 - 197 + 197.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.57139466 and -1.\nAnswer: -0.57139466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-6))\/((-1)\/(-3)). Let f = 362 - 360. Which is the nearest to -1? (a) 0.3 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120311301 (base 4) in base 3?\nAnswer: -12011120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -14. Let b be (a + 11\/(-4))\/(4\/(-32)). Solve l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -22 - 14. Let f be (-1 - 2)\/9*j. Find the second derivative of -10*c - 20*c**3 + 14*c**f + 8*c**3 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2651919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-210) - (-221)\/1560?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -19. Let k(h) = h**3 + 9*h**2 + 4*h - 13. Let j be k(-9). Let r = j - -70. Calculate the highest common factor of r and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 3, c: 2, y: 7, e: 6}. What is prob of picking 4 y?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4 = 2*g, 84*y = 81*y + g + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*-2*(sqrt(126)\/(sqrt(6)\/sqrt(3)) - sqrt(63)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*f = 0, -3*f - 2*f = 4*a - 45. Calculate the remainder when -1 + -2*a*-7 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and -2040.\nAnswer: -257040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 470724246.173?\nAnswer: -470724287.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -163. Let o be 2\/(g*4)*(-198)\/198. Let u = -25 - 16. Which is the second smallest value? (a) 1 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14585 divided by 1\nAnswer: 14585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5871794 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64178 is divided by 563?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-30) + 4\/(-20). Is -0.2 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2803 - -2803.1. Let c = 0.4 - 0.4. Let g = 0.4 - c. What is the second smallest value in 3, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5)\/6*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g = -5*h + 39, -2*h = -5*g + 112. Let f(z) = 32 - 32 - 17*z - g*z. Let l(b) = -2*b. Determine l(f(u)).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3935*y + 31503. Determine h(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88)*4 - sqrt(88))*-3 + sqrt(88) + sqrt(88) + sqrt(88) + (-2*sqrt(88) + sqrt(88) + sqrt(88))*1)\/(2*(sqrt(800) - -3*sqrt(800))*-2).\nAnswer: sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*v + 4*v. Suppose -t + 0 - 5 = -3*p, -v = -4*p - t. Which is greater: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-5 + 5 + 4*v**2) + (6*v - v - v)*(3*v - 2*v + v) in the form g*v**2 + i + s*v and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let t be w(3). Let u be t + -1 + -15 + 19. Let o(f) = 12*f + 6. Is o(u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 7. What is x(10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (122\/(-4))\/(65\/(-10) - -7). Let s = t + 75. Suppose -29 = 3*m - 4*z, -3*m - 5 = -2*z + s. What is the second biggest value in m, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-54) + 2)*-6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 7*x**2 + 2*x**4 + x**3 + 31 + 5*x**2 - 30 to the form j*x + w*x**3 + l*x**4 + g + c*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 153 + 92 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114694592 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 1.062. Round t to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 8:28 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69316 = 12728*b - 12738*b + 9524. Is b a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 6. Suppose 2*u - 4*u + 2*o = 6, 3*o - 15 = -3*u. Let l = -1 + u. Suppose 0*m + m = l. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -g - 17 + 6, -x + 79*g - 160*g - 33 = 6*x - 78*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -313*n - 4367. What is m(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 2. Let w(p) = 10*p + 13. Suppose 0 = -k + 5. Let f(j) = -5*j - 6. Let b(v) = k*f(v) + 3*w(v). Determine -2*b(a) + 9*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31647890 is divided by 31647865?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005988 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 8. Let w(n) = 12*n + 15. Let r(y) = 5*v(y) - 2*w(y). Let q be r(-6). Factor 8 - 33*k**4 + 145*k**2 + 20*k**4 - 100*k + 28*k**q - 80*k**3 + 12.\nAnswer: 5*(k - 2)**2*(k - 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*y - 25, 0 = -4*p + 3*y - y + 10. Let m(f) = p - 4*f - 2*f + 0. Let a(d) = -2*d. What is a(m(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/(d*d**6))*d))\/d)\/(d*d*d\/d**(-1\/5)))\/((d**(1\/4)*d)\/d)**(-7) assuming d is positive.\nAnswer: d**(-189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -5 (c) -18 (d) -0.16 (e) -3\/1279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 226484?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - q + 6*q = 41, -4*v + 31 = -5*q. Suppose 57 = 4*n + v. Let c = 2 + n. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 35869644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*j. Is (-18)\/(-4)*(4 + j) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*g + 2*g - 4*g + 3*g + (-16 - 3 - 2)*(-g + 5*g - 5*g))*(114 - 126 + 54*g - 48*g) to the form a*g + q*g**2 + u and give a.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(2*s - s - 3*s) + 5*s - 6*s - 2*s - 2 + 2*s + 2)*(-36*s**3 + 20*s**3 + 23*s**3).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(6\/5)*-2. Let h(o) = 2*o + 4*o + j*o. Suppose 0 = 2*k + 3*k + 5. What is h(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 84*u**3 - u**2. Let i be n(-1). Let h be 3*56\/36*-12. Let s = h - i. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*q**2*v**3 - 9*q**2*v - 31*v**3 + 27*v wrt v?\nAnswer: -486*q**2*v - 186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -7*r**6\/1200 + 19*r**5\/600 + r**4\/40 + 10*r**2 - r. Let a(w) be the first derivative of x(w). Factor a(c).\nAnswer: -c*(c - 3)*(7*c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.3 - 81. Let z = -1.3 + u. Let i = 1 + z. Sort i, 0, 1 in ascending order.\nAnswer: i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 53 (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(468) + (sqrt(468) - (0 + sqrt(468)))*1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -694 - 6. Let y = l - -244. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3187505?\nAnswer: 5, 769, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2 + 4*s + 7. Give n(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 5813306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {w: 9, j: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let v(a) = 9*a**2 + 31*a - 204. Let q(f) = 3*f**2 + 14*f - 103. Let h(b) = 9*q(b) - 4*v(b). Give h(g(r)).\nAnswer: -9*r**4 + 2*r**2 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -0*d - d - 5*d - 56, -3*q = d + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 26352 = 9*t - 37*t. Is t greater than or equal to 2593\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -7313541?\nAnswer: 7313494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21824.27 rounded to the nearest ten?\nAnswer: 21820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 993566 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/2)\/(-8 + 5 + 4). Let i(b) be the first derivative of 2*b**2 + 0*b + 3\/5*b**t + 0*b**3 - 3 + 0*b**4. What is the second derivative of i(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 60828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) - (2 + (-144)\/21). Let g be 1\/((-330)\/65 + d). Let a(x) = -6*x**2 - 6*x. Let p(m) = -12*m**2 - 13*m. Calculate g*a(j) + 6*p(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2002\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35252302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7170 is divided by 653?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/6 + 11*w**5\/15 + w**4\/3 + 47*w**2 - 2. Factor n(q).\nAnswer: 4*q*(q + 2)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24 + 40 - (1 - -6). Solve 5*i = -a + 20, 5*a + 5*i - 31 - u = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 4*l + 16, -5*n = 2*l + 8. What is the second derivative of 4*x**3 + n*x - 6*x**3 - x wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 9*s - z - 14 = 0, -4*s + 6*z + z = -3*z + 2*z + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 0.04, 2, 2\/15, -0.005, 0.5, -0.94?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1323159 rounded to one decimal place?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198135.8226 - -188571.77239. Let v = -9564 - n. Round v to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0*x**3 + 0 + 1\/30*x**5 + 0*x - 104*x**2 + 7\/24*x**4. Let y(n) = -5*n**2 - 20*n. Determine 8*o(j) + 3*y(j).\nAnswer: j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (38\/6 + -3 + -2)*3. Suppose -5 = -2*q + 5. Let l be 54\/q - (-16)\/(-20). Solve -5*p + 26 = w + l, -2*p + 24 = -k*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 243, 254, 265, 276, 287?\n\"Answer: 11*g + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11712 - 11694) + (-2 - 74).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 2*i = 0. Suppose i = -5*m + 3*h + 16, m - 3*m + 3*h = -10. Solve 5*r - f + 10 = -m*f, 2*r = -f - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125451469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000224139002 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ldaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -4\/105*n**7 + 0*n**5 + 0*n**3 + 0 + 20*n**2 + 0*n**6 + 0*n - 5\/12*n**4. What is the second derivative of m(b) wrt b?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z**3 - z**3 + 0*z + 0*z + (2*z**2 - z**2 + z**2)*(-3*z + 4*z + 0*z) - 3*z + 3*z + 2*z**3)*(17 + 32 + 45).\nAnswer: 470*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/33)\/(61\/((-41602)\/62))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 693.93 to 0 decimal places.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11848.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1705 and 67412211.\nAnswer: 67410506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1667.7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/54*1\/9*132\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 8, v: 2}. Give prob of sequence yv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530665046.5 rounded to the nearest one hundred thousand?\nAnswer: 530700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 22*l - 22*l)*(82*l - 25*l - 42*l).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/10 - 1651*a**3\/10 - 826*a**2\/5 = 0 for a.\nAnswer: -1, 0, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(222\/24) - (-14)\/1554*5667.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0311 + 0.04042. What is u rounded to 4 dps?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361 + 3787?\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-38844\nAnswer: -6215.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 2*y, 6*t + 2*y + 22 = 8*t. What is the smallest common multiple of 768 and t?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368 - -365) + 1 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -178670184.\nAnswer: 178670182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83335, -166692, -250061, -333436, -416811?\n\"Answer: h**3 - 12*h**2 - 83328*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 941437728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267695691?\nAnswer: 3, 47, 811, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9832, -41329, -94476, -169273, -265720, -383817, -523564?\nAnswer: -684961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 9, -2\/5, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 192712?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 594, 1358, 2438, 3840, 5570, 7634?\nAnswer: 10038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9) + 264\/(-9). Let g be (-3192)\/(-95)*h\/(-4). Find the second derivative of -252 + g + 12*v**5 + 5*v wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 29\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 1350?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 75766442 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: Sort -17, 0, -3524 in ascending order.\nAnswer: -3524, -17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, p: 4, z: 4, g: 6, u: 1}. What is prob of picking 1 f and 2 g?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnfhttftfnfttthnf. Give prob of sequence hhtf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 7.6. Let f be -3*((-4)\/4 - 2). Let r(k) = -k**3 + 9*k**2 - k + 11. Let u be r(f). Which is greater: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*a = -604, i - 3*a - 158 = -0*i. Suppose 0 = -5*j - 5, -3*c + i = 2*j + 478. Let f = -75 - c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -2, -0.24, -3\/2, -5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - h + 6 = 0, 5*h - 54 = -144*m + 142*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3)*d)\/d**15)**8 assuming d is positive.\nAnswer: d**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u**3 - 193*u**2 + 10*u + 18. Calculate i(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9795161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 82.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33532 - 32?\nAnswer: 33500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/((-75)\/200) + 9. Solve 0 = 3*r - i + t, 6*i + 9 = -4*r + 7*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5759394 decades?\nAnswer: 69.112728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1 (c) -15 (d) -42454\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7 and -8\/147715?\nAnswer: 1034005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 652*y + 648.\nAnswer: 4*(y - 162)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 5 - 4*d + 3*d**2 - 4*d**2. Let a(u) be the second derivative of u**5\/20 - u**4\/3 - 5*u**3\/6 + 2*u**2 - u. Let w be a(5). What is y(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 577*c + 6968. Determine g(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 + f**4 - 4*f**4 + (f + 4*f - 10*f)*(f**3 - f**3 + f**3) - 4*f**4 + 5*f**4 + f**4.\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -6*(-2 + (((-1*sqrt(95) - sqrt(95)) + sqrt(95))*-6)\/(sqrt(5) - (sqrt(5) + sqrt(5)*2*3 + sqrt(5)))) + -3).\nAnswer: 52 + 144*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25622 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 20*n**2 - 16*n + 61. Let f be p(-19). Solve 0 = -0*o - f*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 - -231. Let r = 3\/433 + -30887\/20784. Find the common denominator of (-2)\/(-60) + h\/45 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 2042 = h, -2*x + 4*h + 1338 = 0. Suppose 2*t + 10 = 0, 269 = -5*y + 2*t + x. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 1557989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4\/7 (c) 2 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*d - 2 - 407*d + 0.\nAnswer: -595*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from plpllpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27213, -53958, -80703?\n\"Answer: -26745*l - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and -3.91213.\nAnswer: 1.0953964","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41348?\nAnswer: 2, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 - 56690*v**4 - 1361510*v**3 - 5730790*v**2 + 7148988*v = 0.\nAnswer: -18, -7, 0, 1, 28369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 31 = -4*r, 3*a - 9 = 2*r + 8. Let x(l) be the second derivative of 1\/2*l**2 + 0 + 5\/24*l**4 - l + 7\/12*l**a. Factor x(g).\nAnswer: (g + 1)*(5*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**4 + 559*d**3 - 10826*d**2 + 66656*d - 126880 = 0. What is d?\nAnswer: 4, 5, 26, 244\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48544903459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -30, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*u = -428 + 1934, -4*t = 5*u - 1497. What is the highest common factor of 135 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22\/7 - 67\/28. Let g = 0.241 + -3.241. Put s, g, -4\/7 in descending order.\nAnswer: s, -4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 14) to base 11.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-24)\/(-33))\/(8\/44).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3441 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k + 0*k**6 + 0*k**3 + 0*k**7 + 0 - 1\/15*k**5 - 1\/336*k**8 + 0*k**4 - 2*k**2. Find the third derivative of w(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5159742 minutes in milliseconds?\nAnswer: 30958.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 956 + -1049. Suppose -7*z - 8*z = 1380. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7133 (base 8) to base 15\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22248 and 11330.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136\/213 - -2\/71. Let f = 15 - 19.8. Let c = -5 - f. What is the second biggest value in 4, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78727105.\nAnswer: 5, 563, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:43 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 8*g + 2*g + 3*g + 0*g - g + (-1 + 0 - 1)*(-g - 1 + 1) - 2*g + 1 - 1)*(-1611*g - 2210 - 462*g + 2210) to the form m*g**2 + t + f*g and give m.\nAnswer: 12438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - c + 2*c + 0*c + 0*c + (-c + 2*c + c)*(3 + 1 - 3) - 24*c - 11*c - 16*c)*(2 + 4 - 5 + (1 - 2 - 1)*(-4 + 3 + 0)).\nAnswer: -135*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**7\/700 + x**6\/300 + 2*x**5\/75 - x**4\/15 - 4*x**3\/3 + 5. Let n(y) be the third derivative of q(y). Factor n(u).\nAnswer: -2*(u + 1)*(3*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 + -144. What is the remainder when 52 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 - 2*f**4 + 0*f**3 + (3*f**2 - 2 + 2)*(-22204 + 22204 + 324*f**2).\nAnswer: 970*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 1 + (44 + -24 - 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 500044 = 500163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -7, -3, 1 in increasing order.\nAnswer: -7, -3, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*a - 5*p, -4*a - 4 = -3*a - 3*p. Let w be (4\/a)\/((-5)\/(-100)) - 4. Suppose 2*z + 192 = 4*z. What is the greatest common divisor of w and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56735 - -1?\nAnswer: 56736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030565 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 22 - 39 - 20)*(4*z - 3*z - 2*z).\nAnswer: 99*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 14. Suppose -5*i = -5*w + 3*w - 26, 5*i = 4*w + 22. Let r be f(i). Let b be (r\/42)\/((-4)\/6). What is the closest to b in 0.4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.122 - -0.068. Let a = 879 - 878. Is a smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 369, 1418, 3159, 5586, 8693, 12474?\n\"Answer: -g**3 + 352*g**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - -2) + -11 - 15 - (-3 - 1 - 32).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.16, -4\/7, -33.38.\nAnswer: -33.38, -3.16, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/5 (b) 5 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 25 + -25 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h**0\/h)\/(h\/h**(1\/4))**(-3\/22) assuming h is positive.\nAnswer: h**(-783\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3021026*b**2 - 1658367?\nAnswer: -6042052*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -686043\/262064 + 145000554455\/30760286128. Let g = -1\/9029 - o. Let h = g - -9\/4. What is the smallest value in 2\/5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l - 67*l - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:18 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*i - 116 - 920 - 942 - 2138 for i.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 14*y - 1\/42*y**4 + 1\/21*y**3 + 0 + 2\/7*y**2. Factor o(r).\nAnswer: -2*(r - 2)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 386 - 818 = 93*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cscvw. What is prob of picking 1 v and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 16. Let r = 6 + -5. Let b be r + -2 + -3 + 4. Solve -4*x = -b*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110000100100100 (base 2) in base 13?\nAnswer: -8b953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 6. Suppose -3*v + 48 = -42. Let j = v - 15. Suppose -t = -4*t - j. Give k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7\/5))\/t*t*t)\/(t*t*t**(1\/7)*t*t*t) assuming t is positive.\nAnswer: t**(-61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 310\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(10\/16*(-22)\/(-33))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -167 in 4\/5, 1\/7, 20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8652446 and 8652445 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260565?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 3*i**4\/4 - 2*i**3\/3 + i**2. Let k be l(6). Let o = -59 + k. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*1 + (5*-2*sqrt(153) - sqrt(153)))\/(3*sqrt(441) + (-2*sqrt(9) + sqrt(9))*6).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, k + 2*c = 3*k - 20. Let d be (12\/k + 0)*5. Suppose -i + 3*y = -122, i - 3*y - 104 = -d*y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -56. Solve i*p - 12 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693609 is divided by 499.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 509, 1044?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + ((-3)\/(-3) - 2). Let o(h) be the third derivative of -1\/72*h**4 + 0 + 0*h - 1\/180*h**5 + 0*h**3 - j*h**2. Factor o(s).\nAnswer: -s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 19*z**2\/3 - 176*z\/3 - 52.\nAnswer: (z - 26)*(z + 1)*(z + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -79*w**5\/10 + w**4\/12 - w**3\/6 - w**2\/2 + 126*w. Let i be k(1). What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3551 (base 6) to base 2.\nAnswer: 1101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 17705283*r. Let p(w) = -9*w. Determine c(p(u)).\nAnswer: -159347547*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4520235 (base 8) to base 10.\nAnswer: -1220765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1998, 3941, 5884, 7827, 9770, 11713?\nAnswer: 13656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5642*z - 2712*z**2 - 5642*z.\nAnswer: -2712*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -3\/2 (c) -6\/631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -501?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7529 = 5*c - 8*c, 0 = c - 4*x - 2523. Is c a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.0237?\nAnswer: -0.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + 5*w**2 + 3*w**2)*((-1 + 1 - 1)*(-2*w + w - w) + 3 - 3 + 3*w) to the form y + g*w**2 + d*w**3 + h*w and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 223 - 42*v - 26 - 39 - 13*v - 19*v. Let p be j(9). Does -0.1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -513, 1 in ascending order.\nAnswer: -513, -231, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*(-190)\/(-912) + 31119\/(-264)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coahahbhahbzzooocb. What is prob of picking 2 z and 1 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + p + 4*p + 0 + 0 - 2*p + (-p - p + 0*p)*(-44 - 11 + 15) to the form j*p + n and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111637.1 and -0.3.\nAnswer: -33491.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 3, p: 4, a: 1, c: 5, o: 3}. What is prob of picking 1 c, 1 w, and 1 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1158355 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 21483?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/10)\/(8\/(-260)) - -1. Let o = -11 + 16. Suppose -i = -o*l - 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3505 by -77349.\nAnswer: -3505\/77349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -462998 > -462973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 13451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12276, 12283, 12294, 12309, 12328, 12351, 12378?\n\"Answer: 2*n**2 + n + 12273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19746802219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqgkggkgqgg. Give prob of picking 1 k and 1 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(7488) - sqrt(7488)*-1))\/((sqrt(16) - sqrt(4))*2 - (sqrt(16)\/sqrt(36) + sqrt(4))))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97.8 - -97.397. Let q = 0.46 - 0.06. Let j = o + q. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + f = 5, 2*u - 5*f + 11 = -14. Suppose u = -12*o + 14*o. Solve -4*y - 4 + 0 = o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16767 (base 8) in base 16?\nAnswer: -1df7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000010010011000100100110?\nAnswer: -1000010010011000100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 11*z - 152736 + 610948 - 152722 - 152746 - 152744.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 743 - 759. Sort 0.5, -2, v, 0.4 in descending order.\nAnswer: 0.5, 0.4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t - 149*t - 774 = -395*t + 68*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + u**4 - 5*u**3)*((-1 + 0 - 1)*(2*u + 1 - 1) - 26*u - 887 + 887).\nAnswer: -30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 40 = 4*s, s + 0 - 44 = 2*t. Suppose -5*a - 52 = 53. What is the lowest common multiple of 9 and (a - -7)*(t\/21)\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67839 is divided by 121?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:54 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 88.6. Round x to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 1279 = 673 + 672 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74089.253 + -74028. Let u = 6.343 - c. Let s = u - -55. Is -3\/7 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)\/x)\/((x**7*x)\/x*x)*(x\/x**2)\/((x*x\/(x\/(x\/(x*x\/(x**(-1\/3)*x))*x)))\/x))**(-16) assuming x is positive.\nAnswer: x**(536\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3122*m**2 + 2*m - 4. Let y(h) = -115510*h**2 - 75*h + 150. Determine -75*t(d) - 2*y(d).\nAnswer: -3130*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (804\/(6\/(-1)))\/((-30)\/(-15))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3 + 0*u + u - 1. Let q be i(-2). Suppose q = -n - 0*n, 0 = 5*m + n - 70. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y + 182*y + 948 + 2282 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:29 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -13) + -445 + 463.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -74. Let f be 320*5\/405 + -4. Let h = -344\/405 - f. What is the third biggest value in h, w, 5\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 4*c - 3. Calculate l(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.6906 or 2\/13?\nAnswer: 2.6906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36727308 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 31 - 20 - 9*g + 15.\nAnswer: -9*g - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 1. Let g be q(-1). Suppose 0*n - 3*m + 66 = 3*n, g*m = 9. Suppose -n*t + 18*t + 2 = 0. Let d(b) = b**2 + b - 1. Give d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 - -2) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/53781 and 2\/3.\nAnswer: 53781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 + 15)\/((-2)\/(-12)). Let l = 10 + -6. Suppose -h - l*i - 19 = -2*h, -g = 3*i. What is the highest common divisor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**3\/27 - c**2\/3 + 4*c\/9 - 3. Factor p(o).\nAnswer: 2*(o - 2)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/231 - 6\/(-33). What is the closest to -1\/4 in 3, b, 1\/2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose x*f = 26 + 52. Suppose -5*n + f = 2*c, 0 = -2*c + c - 2*n + 14. What is the highest common factor of 162 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17357 + 17347. Let x(g) = -g**3 - 6*g**2 + 9*g + 10. Let n be x(-7). Sort 1, 0, n, f in decreasing order.\nAnswer: 1, 0, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1023776189452203\/4260925550 + -1342379477\/5587. Let v = c + 2\/15253. Find the common denominator of v and -79\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10970283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 11}. What is prob of picking 1 o and 3 z?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 25 - 10 - 208*s**3.\nAnswer: -208*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 6 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (348\/15)\/(1\/(-5)). Let i be (-8)\/(-28) - f\/(-14). Is (-4425)\/(-21) - i\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkukkkkkk. What is prob of sequence kuk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**2 - 8 - d**3 + 3*d**3 + 15 - 812*d**4 + 0*d + 3*d + 810*d**4 in the form z + o*d**2 + v*d**4 + y*d + f*d**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fullllyllouglgf. Give prob of sequence gyuu.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-944)\/32 - 248\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-5)*a\/a**(2\/9)*(a*a**5\/a)\/(a*a**(-9)*a) assuming a is positive.\nAnswer: a**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2197)\/(-117) - (4\/(-18) + 0). Suppose -23*f + m*f = -56. What is the third derivative of -f*k**2 + 3*k - 3*k - 19*k**4 wrt k?\nAnswer: -456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/1470 + n**6\/42 + n**5\/60 - 67*n**4\/84 - 20*n**3\/7 + n**2 + 1532*n. Find d such that k(d) = 0.\nAnswer: -2, -1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -9, -11.8, 4\/25?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, -118.8, 2, -1\/3, 0.1, 3 in increasing order.\nAnswer: -118.8, -14\/5, -1\/3, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*z + 17 = 0, 15*z = -o + 13*z + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 331781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 5. Let r be q(-2). What are the prime factors of (4 - 3)\/(r\/(-77))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:16 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*i - 134 = 0, -3*y + 6*i - 4*i = -169. Solve -22 = 81*q - y*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (-342)\/(-66) + (-1274)\/(-11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/40441, -2, 1\/3, -0.3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*g = 12, -3*s + g + 4 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 2*x + 53. Let r be q(6). Suppose -150 = -r*h + 70. What is the least common multiple of h and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 6. Let p be s(6). Suppose -d = 2*d - p. Let c = 8 - d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Let n(d) = d**2 - 3*d + 1. Let u be n(o). Solve 3*c - y - 4*y = u, -3*c = 4*y - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqu when three letters picked without replacement from {q: 1, u: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 9*d**2 + 0*d**2 + (-d**2 - 2*d**2 + d**2)*(1 - 4 + 4) + 1 - 1 + 2*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.21*-0.367\nAnswer: 0.44407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125380 + 3?\nAnswer: -125378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 476 and -14629312138.\nAnswer: -14629311662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, -1\/8, -10\/7, -4, 1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Differentiate t*x - 5 - 16*x**2 - 4*x + 17*x**2 with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-28 - -15) - -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1820, 1969, 2344, 3065, 4252?\n\"Answer: 20*q**3 - 7*q**2 + 30*q + 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175875*w**3 + 184302*w**2 wrt w.\nAnswer: -1055250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*l + 6. Let r(q) = q**2 + q - 17. Let b be r(-8). What is the greatest common factor of l and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and -1404663?\nAnswer: -195248157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -0.2, -7041?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 4*b + 2. Let i(f) = 4*f**2 - 6*f - 3. Let p(w) = -2*i(w) - 3*u(w). Let x(v) = -27*v**2. What is x(p(t))?\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -554, -1103, -1832, -2741, -3830?\nAnswer: -5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 38316?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 at most as big as -2\/1077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -24. Let q(w) = -w**2 + 6*w - 1. Let i be q(h). Let d(p) = -4*p**3 + p**2 + p. Calculate d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 30 = -0*l. Let h be l\/5*(-5)\/2. Let f(m) = -3*m**2 + 3 - 2*m + 4*m**2 - m**h - 1. Give f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*k = 400*a - 397*a + 1125, -65 = -5*k - a for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -57, -133, -239, -375, -541?\n\"Answer: -15*g**2 - g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 2*q**2 + 2*q - 1. Let o be i(1). Let s be ((-6)\/10)\/(o\/15). Let v be s + (-1)\/(-1)*-1. Solve 4*y = -3*u + 4 - 0, -y = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from avx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -381 - -4424. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16524 - 16518. Sort -2, 1, 0, 569, m.\nAnswer: -2, 0, 1, m, 569","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010012011 - -211002?\nAnswer: 10011000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260809*j**3 + 168665*j wrt j.\nAnswer: -1564854*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (364\/42)\/((-2)\/(-33)). Let s be (-2 - 0)\/(1 + -3). Let j be (0 - 0)*s + 13. What is the highest common divisor of p and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16092)\/596*((-2)\/(-4))\/((-3)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -0.13, -37\/6, 2, -0.4, 1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565830?\nAnswer: 2, 5, 83, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/15, 3\/5, 2\/59?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2297.63 years?\nAnswer: 27571.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z + 5 = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6896150408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 16) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + 0.01. Let v = -0.12 - j. Let w be 4\/(-14) - (-26)\/(-7). Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358920 and 85005?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 2*h + 10. Let g be y(4). Suppose -5*l + m + 2*m + 25 = 0, 3*l = -g*m - 4. Solve 3*b = -b - 3*s - 2, 8 = l*b - 3*s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1963 - 1961. Let c = -21 - -24. Solve -p*x + c*x = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2097 and 10252.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 4*n**2 + 7*n - 6. Let p(q) = 0*q + q + 0*q + 6. Let m be p(-4). Suppose m*x + 25 = 3*a - 0*x, -5*x - 40 = -3*a. Give z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-6*sqrt(27)\/sqrt(3)) - -5*(3 + sqrt(26)\/sqrt(2))**2.\nAnswer: 179*sqrt(13)\/6 + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:22 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*a**2 - 317*a**2 + 136*a**2.\nAnswer: -318*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*v**4 - 1318*v - 53270.\nAnswer: 52*v**3 - 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 + 6 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010202010012 (base 3) to base 7.\nAnswer: 12442460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**5*z)\/((z*z**(-5))\/z))**(-11))**(8\/3) assuming z is positive.\nAnswer: z**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.207 centimeters in kilometers?\nAnswer: 0.00477207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -j - 0*x - 17, 4*j + x + 8 = 0. Let k(a) = -5*a**3 - a - 1. Let g be k(j). Let h = -3 + g. Solve -v = 0, -2*v + 6 = h*l - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f + 20. What is the remainder when g(-7) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13962 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - l + 1, -6*j + 2*j + 37 = -5*l. Solve j*i + 9 = 3*q - 6, i - 3*q + 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**2 - 3*h - 2258*h**2 + 85 - 2070*h**2 - 44 - 39 in the form z + f*h**2 + q*h and give f.\nAnswer: -4311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210111 is divided by 338.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -903a (base 11) to base 6.\nAnswer: -131354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*h + 516*h - 1079*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 4}. Give prob of sequence bfb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4 - 8*s**3\/3 + 2*s**2 + 8*s + 1. Factor d(l).\nAnswer: -4*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295505509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 328*o - 136095. Give u(148).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 962, 1003, 1080, 1205?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94110 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35295789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 158 = -42. Let m(k) = -k**2 + 9*k - 3. Let q be m(6). Let g be (q\/2)\/((-6)\/(-8)). What is the greatest common factor of z and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 14. Suppose 258*l - 245*l + 91 = 0. Sort 1, o, l in increasing order.\nAnswer: l, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*y**2 - 204*y**2 - 62 - 64 + 85*y**2 + 126.\nAnswer: -311*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-1806)\/(-6020)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Let o be (-1 + -1)*1\/2*-743. Let f(i) = 743*i - o*i - 21*i**2. Give c(f(w)).\nAnswer: 441*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -2.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*x - 16, -8*l + 545*x - 270*x = 270*x + 239 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let w(a) = -a + 2. Let n = 7 + -10. Let k be w(n). Let t(u) = 6*u - k*u + 4*u + u. What is t(p(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**4 + 2*u**2 - 2*u**2)*(20 + 54 - 204) to the form s*u + f*u**4 + a + r*u**3 + q*u**2 and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from {d: 2, b: 2, t: 10}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 1080*r**7 - 10053*r**6\/5 + 7506*r**5\/5 - 551*r**4 + 268*r**3\/3 + r**2 - 3092*r. Find q, given that k(q) = 0.\nAnswer: -1\/280, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - o + o + (-18 + 5 + 14)*(-3*o - o**3 + 3*o) - 3 + 3 + 2*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -145419*b**2. Let h(g) = -3*g**2. Calculate q(h(t)).\nAnswer: -1308771*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7233.585m?\nAnswer: 7233585000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r - 188 + 369 - 177 + 22*r.\nAnswer: -20*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**3 + 11\/12*f**4 + 2*f + 0*f**2 + 0. Let t(v) = 4*v. Give t(u(b)).\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 11) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.1 and -0.5.\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83033 is divided by 574?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3342*z**3 + 6685*z**3 - 3344*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:09 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - x + 2. Let t be w(1). Find the second derivative of 33 - 3*n - 33 + t*n + 8*n**3 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 17. Let a be t(-5). Let r = 22 - a. Calculate the remainder when 18*2 + 2\/2 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676320799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -a. Let d(b) = b**2 + 4*b + 4. Let w be d(a). Suppose 5*l + 12 = -4*v, 0 = 5*l - 5*v + 6*v + 3. Solve l = w*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 9. Suppose 0 = 2*y + m - 20. Calculate the greatest common divisor of y and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/((m*m**(-8\/5))\/m))**(2\/65) assuming m is positive.\nAnswer: m**(46\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*3\/(-18)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010819531 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 472287 divided by -5?\nAnswer: -472287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -13, -3, -4, 5 in descending order.\nAnswer: 5, -1\/2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*w - 3*w**3 - 92*w + (2*w + 3 - 3)*(12 + 6*w**2 - 12) in the form r*w + c*w**3 + l*w**2 + u and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13155.11 millilitres in litres?\nAnswer: 13.15511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57529179155 + -196?\nAnswer: -196.57529179155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10091134?\nAnswer: 2, 5045567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*s**3 + i**3*s**2 + 776*i**3 - 2*i**2*s**2 + 93*i*s**5 + 17*s**2 wrt s.\nAnswer: -6*i**3 + 5580*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667 + 2348 = 3*o + 4*s, -3*s + 5344 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000224825 to seven dps.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212958*b**2 - 314546*b**2 - 338139*b**2.\nAnswer: -865643*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 41 - 126 = 0. Let i = -10 - h. Let m = -3 + i. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 e when three letters picked without replacement from {b: 5, e: 12, w: 1, k: 1}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 13975 = -61*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 2*d + 2*d**2)*(-11 + 11 + d**2) - 925*d**4 + 5481 - 5481 to the form z + f*d**4 + b*d**3 + n*d + u*d**2 and give f.\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y + 0*y - 6*y**2 + 0*y + 59*y**3 + 5*y wrt y.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28.3 and 0.0741.\nAnswer: -28.2259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 322.3 - 322. Which is the closest to 0? (a) 4 (b) 4\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 7*s + 9*s - 2*s + 22*s**3 + 20*s**2. Let t(i) = -7*i**3 - 7*i**2 - 5*i. Let l = -3571 + 3576. Calculate l*c(m) + 14*t(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 4. Let j = -35 + 20. Let p = a - j. What is the greatest common factor of 117 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let m = 957 - 644. Let l = 318 - m. What is the second biggest value in p, -1, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:31 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 7. List the prime factors of j(-40).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/3 - 815*4\/(-60) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1704, 1692, 1684, 1680, 1680?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.79 and -1.1.\nAnswer: 0.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42037*x**3 - 84161*x**3 + 42170*x**3 + 3*x**2.\nAnswer: 46*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2760635?\nAnswer: 5, 552127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**8\/112 - 3*v**6\/20 + 2*v**5\/5 - 3*v**4\/8 - 3*v**2 + 12. Factor f(r).\nAnswer: 3*r*(r - 1)**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*y + 14*y - 6*y + 4*y + 0*y - y + (3*y + 0*y - 2 + 4)*(1 - 5 + 6).\nAnswer: 36*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1738, -5332, -10796, -18130?\n\"Answer: -935*j**2 - 789*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 476 + 56. Let k = -221 - a. Calculate the remainder when 178 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70237 is divided by 203?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -652761, -1305570, -1958429, -2611338, -3264297, -3917306, -4570365?\n\"Answer: -25*c**2 - 652734*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-210)\/(-9))\/(-7). Let b be (-4)\/y - (-13)\/5. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2237, -4472, -6707?\n\"Answer: -2235*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -15, -3, 3 in decreasing order.\nAnswer: 3, -3, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34647.6816 - 34647. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4837300 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53537146*w**2 - 76*w + 231075 wrt w?\nAnswer: 107074292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196.9 and 0.5.\nAnswer: 98.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 713 - 413. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15740\/45 - 2\/(-9). Let g(n) = n**3 + 2*n**2 - 122*n - 521. Let d be g(-5). What is the highest common factor of j and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*i + 5469, w + 3680 = -5*i - 9981. Let q = 4434 + i. Suppose 2*o - 677 = -5*g, 0*o - q = -5*o - 3*g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 12 - 47. Suppose -2*j + 4*r + 22 = 0, -2*j - h = -5*j - r. Solve 2*l + 2 = -4*i, j*l = -4*i + 4*l - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (sqrt(612) - ((sqrt(612) - (sqrt(612) + -1 + sqrt(612) + sqrt(612))) + sqrt(612) + 1))**2.\nAnswer: -48*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:53 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250662 is divided by 473?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357349090.\nAnswer: 2, 5, 1013, 133993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103394 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2 + 302929 + 674*g**3 - 302929 - 17*g wrt g?\nAnswer: 4044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*r = 52, -2*a - 2*a + 3*r + 66 = 0. Solve -3*g = -0 + a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - g + g**4 - 1 - 2*g**4 + 2*g**2 + 4*g**4 to l*g**3 + z*g**2 + b*g**4 + t*g + f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = i - 4*t, -5*i - 3*t = -5 + 17 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**4 + 0*v**3 - 9\/10*v**5 + 1 + 0*v + 67\/210*v**7 + v**2 + 0*v**6. Find the third derivative of a(m) wrt m.\nAnswer: 1608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 8. Suppose -5*q - 3*y + 12 = 0, 0 = 3*q + q - c*y + 16. Let h(s) = q*s**2 - 5*s**2 + 8*s + 4*s**2 - 3 + 0*s**2. Give h(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-1 - -11) + 71 + -74).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 1.2, 6.5, -6\/19, -1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241054 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**5 - 13*n + 0*n**4 - 13\/30*n**6 + 0 + 3*n**2 + 0*n**3. Differentiate r(j) wrt j.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-6)\/50*-10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53143?\nAnswer: 19, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1256251569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 21, -7\/4, -3, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8810161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7669283*p**3 + 3803*p**2 - 11*p + 69 wrt p.\nAnswer: 46015698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 11*l**2 - 6*l + 5. Let b be s(-10). Let t = b - -49. Suppose -t = -3*p + 10. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -7*y + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 3, f: 12}. Give prob of picking 2 t and 2 f.\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, 2\/7, -2\/5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, 12, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4327, 168, -2.7?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p**3 - 36 + 17*p**3 + 202*p - 204*p + 2*p**2 in the form i + n*p**2 + h*p**3 + g*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 18*l + 122. Let w(z) = -2*z + 4. Calculate the remainder when l is divided by w(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -303, -336, -371?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) -1 (c) -0.2 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 plus -13431?\nAnswer: -13766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*m**3 - 2*f*m**2 + f*m - f + 2*m**5 wrt m?\nAnswer: -36*f + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/3)\/((-1)\/(-9)). Let a = 822 - 777. What is the highest common factor of a and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (316 - 319) + (-16 - (-1 + 6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245793?\nAnswer: 3, 81931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370 divided by -718.\nAnswer: -685\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-12)\/m))\/m**(1\/8))\/(m**4*m**4) assuming m is positive.\nAnswer: m**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 - 190. Which is the biggest value? (a) z (b) 0.5 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2376948335 and 10870?\nAnswer: 5435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24)\/((-14)\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 36*r - 168. Let l(b) be the third derivative of b**3\/6 - 12*b**2. Let q(d) = -6*l(d) - y(d). Let q(i) = 0. What is i?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 6*c + 2. Let y(g) = g**3 + 6*g**2 - 7*g + 6. Let t be y(-7). Let o be m(t). Solve -p + 2*p = -o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 12) to base 7\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 549.9 + -550. What is the nearest to 1\/4 in -1, 0.5, f, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 2. Let y = g - -1.6. Let m = -1 + -2. Which is the closest to 0.1? (a) -5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 322*q**2 + 5*q - 12*q - 325*q**2 as h + w*q**2 + b*q and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 + 0*y + y**2 - 2*y + 0. Calculate r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 3*i = 40142, 2*f = -i + 20076. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 571*z - 24 - 23 in the form q + b*z and give b.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -328547 (base 11) to base 9\nAnswer: -877382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 2829*q - 200910. Determine d(-75).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 147*c + 791 + 733 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + 5 - (-570 + 546).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-27 - 8*(2244\/204 + 24\/(-2)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135*d**2 - 332 with respect to d.\nAnswer: -270*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**2 + 27. Let c(v) = -3*v**2. Calculate j(c(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 643.\nAnswer: 1\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -206, -322, -438, -554, -670?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 11*y - 10 = -2*y + 12*y, 5*v = -0*y + 2*y - 62 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 5676 (c) -0.9 (d) 0.4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474465 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 48*d + 45. Let z be p(13). Let u(n) = -n**3 - 8*n**2 - 8*n - 9. Calculate u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.6759*-4\nAnswer: 62.7036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(6\/30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 t when three letters picked without replacement from ktkkkrrrrpkrprptr.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 9*s**3 + 907 + 910 - 1809 in the form w*s + g + d*s**3 + f*s**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l. Let u(g) = 4800*g - 350. Let v(i) = 13*i - 3 + 0 + 5*i + 23*i. Let b(z) = -3*u(z) + 350*v(z). Calculate t(b(m)).\nAnswer: 200*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 943411 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*14\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 48*h - 8*h = 108*h + 4060 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 36 = -7*q. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 + 3*f + 2. Determine g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 21*o + 23. Let q be n(20). Let h(s) = 0*s - 1 - 4*s - 1. Determine h(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 71 = 43*y - 17*y. Which is the third smallest value? (a) y (b) 0.08 (c) -0.4 (d) -6\/19 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/(-24) - (-4)\/(-32)*-18. Let c be (13\/10)\/((-2)\/24). Let y = 6952\/445 + c. Which is bigger: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4501373, -9002947, -13504521, -18006095?\n\"Answer: -4501574*t + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -661, -1331, -1999, -2665, -3329?\n\"Answer: r**2 - 673*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13720243\/114 + -120354. Find the common denominator of g and -43\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*k - 11 + 1 = 0, 4*i = 5*k + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -106.9. Let k be ((-12)\/(-13) - 1)*-2. What is the closest to -1 in r, -2, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1 - sqrt(133))*3 - 4*sqrt(133)*2)\/(sqrt(35)\/sqrt(20) + -3*(sqrt(7) - sqrt(343))).\nAnswer: -16*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/31)*z**(-1\/9)*(z*z**(-33))\/z*z**(-1) assuming z is positive.\nAnswer: z**(-9508\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/15 - 104*p**2\/15 + 264*p\/5 + 672\/5 = 0.\nAnswer: -2, 12, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + d - 2)*(-11058*d**2 + 10936*d**2 + 3 - 11*d - 3) to the form b*d**2 + c*d**3 + y*d + w and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 183026 rounded to the nearest one hundred?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(84)*-1)\/sqrt(3))\/((sqrt(96)*1)\/sqrt(6)).\nAnswer: -3 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-875)\/(-98) - (15\/10 - 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i**4 - 15*i**2 + 3*i**4 + 2046 - 2034 = 0. What is i?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -233, -346?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 129. Calculate the least common multiple of f and 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 2. Let d(r) = r + 2. Let q(o) = -5*d(o) + 4*x(o). Let s be q(-6). Solve 2*i = i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3*(-2 + 32\/12) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4572 + 2599. Let u = -31595\/16 - k. Let m = 4324 + -198859\/46. Calculate the common denominator of u and m.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -2\/3, -167?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 392 = 25*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5521, 30405, 97947, 229477, 446325, 769821, 1221295?\n\"Answer: 3555*a**3 - a**2 + 2*a + 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 - -1006\/7. Find m such that 4\/7*m**2 + 0*m + n*m**3 + 12\/7*m**4 + 4\/7*m**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -90*s**3 + s**2 + 4*s + 4. Let g(f) = f**3 - f**2 - f - 1. Give -4*g(r) - h(r).\nAnswer: 86*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3890 - -3889.9. Which is the nearest to -1\/2? (a) 9 (b) 4\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2194093334 by 3.\nAnswer: 2194093334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca49 + -3413?\nAnswer: 19636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -406*d**3 + 823*d**2 - 4*d - 3. Give t(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 24*h**2 - 1. Let f(g) = 120*g**2 - g - 5. Give 4*f(m) - 21*o(m).\nAnswer: -24*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*m = 3, 20 = -5*q + 5*m - 10 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 227*z. Let g(s) = -4*s**2. Determine x(g(l)).\nAnswer: 80*l**4 - 908*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 8, 13, 22?\n\"Answer: 2*s**2 - 5*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -982 divided by 1.\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 18. Let c be 4\/63*o\/(-6). Let y be (-1 - 2)*(-8)\/6. What is the nearest to -1 in c, 1\/6, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 4, x: 1, z: 4, m: 4, q: 4}. Give prob of sequence xcz.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-15)*-3)\/((-1)\/3). Suppose 4*i + 5*c + 28 = 0, -4*i - 16 = g*c + 4. Is (13\/(-52))\/(i\/424) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 31*s**2 + 42*s - 422. Let u(z) = 3*z**2 + 4*z - 42. Let o(c) = -2*b(c) + 21*u(c). Let m(x) = 2*x + x + 3*x - 3*x. Calculate o(m(k)).\nAnswer: 9*k**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6))\/b)\/(b\/b**1))**(-39) assuming b is positive.\nAnswer: b**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596900 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 1075788?\nAnswer: 37652580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161602447.\nAnswer: 161602447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:12 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7077 is divided by 163.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (2 - 1) + 21. Suppose -27*f + w*f = -4. What is the remainder when 3 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*t - 40 - 0, -8 = -4*l. Suppose 3*r + t = 6*r. Solve s = r*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n - 4. What is the units digit of c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -18) + (-490 - -486)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/2 + 17848*j**2 - 159275552*j = 0. Calculate j.\nAnswer: 0, 17848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 58453.620503733?\nAnswer: -58456.620503733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 83645.245 times -3\nAnswer: -250935.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:54 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:00 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115134 + 21?\nAnswer: -115113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(171)*1 - sqrt(171)) + sqrt(171))**2 - (-1 + (sqrt(19) + sqrt(190)\/(sqrt(10)*-1) - sqrt(19)))) + -1.\nAnswer: -11*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**8)**14\/((s*s*s*(s\/((s**(-2\/43)*s*s)\/s))\/s)\/((s\/s**(-15))\/s)) assuming s is positive.\nAnswer: s**(-3657\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2*4)\/(1*(sqrt(9) - sqrt(9)*2) - sqrt(9)) + -3)*1.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d19e + 1?\nAnswer: -d19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1953.2784 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18*r - 529611*r**2 + 528416*r**2 + 18*r. Let p(o) = 5*o. Determine s(p(u)).\nAnswer: -29875*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/4 + 1437*a**3\/4 - 8766*a**2.\nAnswer: a**2*(a - 24)*(a + 1461)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q. Let c(o) = 70375823*o**2. Give u(c(f)).\nAnswer: 633382407*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1517563*n**4 - 361375*n + 1 wrt n?\nAnswer: 18210756*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 41.4. Let p = x - -0.4. What is the biggest value in 0.1, 0.5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -81 + 69. Let b(z) = 126126*z**3 + 5*z**2 + 5*z - 2. Let n be b(k). Round n to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-56))\/((-54)\/21)*(-27)\/18.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 240.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -119. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(117))\/sqrt(9).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(88) - (sqrt(88) + 3*sqrt(88) + sqrt(88))) + sqrt(88)) + sqrt(88))\/((sqrt(80) + (sqrt(80) - (sqrt(80) - 3*sqrt(80))))\/sqrt(10))*2*3.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -26. Which is greater: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011 (base 3) in base 11?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.009154 and -1.103.\nAnswer: 0.010096862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*h**5 - 1569584*h**4 + 8*h + 10946611 wrt h?\nAnswer: -560*h**3 - 18835008*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-128)\/(-24) + -6). Let s = -4879\/423 + -1\/47. Let h = 764\/63 + s. What is the biggest value in -5, j, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*f = -13601176, -1767459 = o + f + 1632839. Let c = -5900296 - o. Round c to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1936 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265730, 531455, 797182, 1062911, 1328642, 1594375?\nAnswer: 1860110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 812492618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 + 4918568*m\/7 + 3024038896328\/7 = 0. What is m?\nAnswer: -1229642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(92736\/(-3933))\/(-112).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - y - 1. Let w(f) = -4*f**4 + 6*f**3 + 3*f**2 - 6*f - 6. Let p(z) = -w(z) + 6*x(z). What is the third derivative of p(o) wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 2:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -554 + 526.1. Let i = -27 - p. Let w = -0.3344 - 0.0656. What is the biggest value in i, w, -2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - 14. Let y(a) = a**3 + 4*a**2 - 7*a + 2. Let z be y(5). Let h be 6\/21 + z\/14. What is the highest common divisor of x and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2691 and 848493?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - r - 15. Let m(y) = -4*y**2 + 0 - 3 + 8 + 3*y**2. Let z(i) = -11*m(i) - 4*o(i). Calculate z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*((-3)\/4)\/((-54)\/(-48)). Is 96302\/8 - (-15)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*(-3*j + 3*j + j) in the form t + f*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1 - (-5 + 17)) + (-6 - 8 - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11650003*f + 18. Let a be v(6). Round a to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55495810669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Solve -2*s + 2 - m = -2*z, 0 = 3*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.058 + -0.057. Let r = 0.015 + k. Sort r, -0.11, -2 in ascending order.\nAnswer: -2, -0.11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -5, 0, -23, -1, -2 in decreasing order.\nAnswer: 17, 5, 0, -1, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*q - 2 - 209*q + 0*q + 216*q + 3.\nAnswer: 242*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8640 and 345150?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = 4*j, 4*j + 4 = 5*p - 3*p. Suppose -b - 1 = j, -k + b + b = 759998. Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 7. Let h be p(-11). Suppose -o + 0*s = -2*s - h, 4*o - 164 = -4*s. Calculate the remainder when o is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2575 + 28*n + 2690 - 46*n.\nAnswer: -18*n + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cojo when four letters picked without replacement from cccoccmcoojccc?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -16183282 = -16183282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 97875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 375, -2 in ascending order.\nAnswer: -2, -2\/11, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y + 1 + 3 = 0, 3*y = -4*h - 7. Put 3, 169, h in descending order.\nAnswer: 169, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h\/(h*h\/(h**(2\/7)\/h)*h))\/h)\/h)\/h*(h**(-8)*h)\/h)**(3\/10) assuming h is positive.\nAnswer: h**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u + 180. Let b = 15 + -5. Let n = 20 + b. What is the greatest common divisor of u and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 16*i**2 + i + 22. Let v be r(-16). Suppose 30690 = v*m + 27*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 123 = 197 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(880)*5)\/(sqrt(320)*2 + sqrt(320)) + -5*(5 + sqrt(704) + -4))**2 + 2.\nAnswer: 1565*sqrt(11)\/4 + 1079387\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 2 - 34 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17571810 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -588*y**2 - 308*y**2 - 2 + 1612*y**2 + 2 in the form s + h*y + v*y**2 and give v.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v**2 + 24*v + 58. Let k(f) = 13*f**2 - 25*f - 60. Let j(t) = 6*k(t) + 7*q(t). Calculate j(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47654*z + 3*z**2 + 153*z**2 - 249*z**2 - 270*z**2 - 47654*z.\nAnswer: -363*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 2*r - 20*r - 10*r + 1.\nAnswer: -39*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 = -16. Let p = f + 62. What are the prime factors of p\/(2 - (-4 + 5))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1573, -7798, -18165, -32674, -51325, -74118?\nAnswer: -101053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/63)\/(5\/6))\/(6\/(-117))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 20 = -6*i + 2*i, -4*i - 11 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 952029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.667 - 0.867. Which is the nearest to -1? (a) m (b) 4\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Suppose 39 = 5*r - t*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -742*x**4 + x**2 - 207.\nAnswer: -17808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 568 = -387. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2663 + 2663 - 10*g**3 + 16*g**3 - 7*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 225 - 341*c + 96.\nAnswer: -341*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -740*m - 21423. Determine f(-29).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcggpg. Give prob of picking 1 p and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*s - 9 = -5*s, 5*o + 5*s - 5 = 0. Let t = 7 - 4. Suppose -13 = -2*g + a, 2*g + o*a - 5 = -t*g. Solve 11 + 9 = -g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -265, -421, -591?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -21, 3 in ascending order.\nAnswer: -21, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 238. Let d = -19 - q. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 4*a + 1. Let k(s) = -s**2 - 3*s. Suppose -245*j + 247*j - 5 = -3*h, -2*j = -2*h - 10. Determine j*u(o) + 5*k(o).\nAnswer: -o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 13. Let d be g(6). Solve o + d*s - 29 = 2*o, o + 19 = 3*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/14)*(o*o\/o**(3\/43)*o)\/o)**(5\/3))**(-18) assuming o is positive.\nAnswer: o**(-16785\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000473647725 rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**4 - o**3 + o**2 - 1. Let f(c) = -6*c**4 - c**3 + 9*c**2 + 84. Let n(h) = -f(h) + r(h). What is the first derivative of n(i) wrt i?\nAnswer: 28*i**3 - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*d + 4*y, 56*d - 18 = 61*d + 2*y. Sort d, 2, 24 in ascending order.\nAnswer: d, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.393.\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3409 + 102*v**3 + 3409.\nAnswer: 102*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27636120 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68, -52, -32, -14, -4, -8, -32, -82?\n\"Answer: -r**3 + 8*r**2 - r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i + 64. Determine c(-11).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-170 + 170 - 10*z)*(-5 + 1 + 1) to a + l*z and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269 is divided by 323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 10:32 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746*o + 32*o**2 + 1746*o.\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-595)\/(-34))\/((-5)\/(-10))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -513 and -4?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36387973, -36387971, -36387969, -36387967?\nAnswer: -36387965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177.8265 + 0.0735. Let y = c + -159.947. Let f = y - 18. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 299*v**2 + 8*v + 11. Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 62, 107, 170, 251, 350?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 860535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1575 + 1457. Is 6\/7 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -590192 + -39?\nAnswer: -590231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(4 + sqrt(396) + -2))**2 - ((sqrt(99) + sqrt(99)*2 - sqrt(99))*-5 - sqrt(99) - sqrt(99))\/(2*sqrt(9)*1))*3.\nAnswer: 2610*sqrt(11) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15 - 3 - 9 - 18 - 27*q. Let n(w) = w**2 + 53*w + 91. Let u(l) = 3*n(l) + 5*s(l). Find d, given that u(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247274941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1271*o**2 + 2466*o - 2466*o)*(-1 + 1 + o) to the form i*o**3 + l + d*o**2 + p*o and give i.\nAnswer: 1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546 = 3*c + 5*g - 2*g, -2*c - 4*g + 374 = 0. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**3 - 18*d**2 - 1\/240*d**5 + 13 + 0*d - 7\/96*d**4. Let a(t) be the second derivative of h(t). What is j in a(j) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -179, -99, -19?\n\"Answer: 80*f - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*36\/(-4). Let t be (3\/(-66))\/(3\/l). Let u be 2\/2 + (-4)\/6. What is the nearest to t in -0.4, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x = 51*x + 292. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*s + 15 = -0*s, 4*q - 20 = -2*s. Suppose 5*x + 4*t = 2, -q*x - 5 - 2 = t. Is -5 - x - (-263 - -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:27 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20097350 and 3900?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*f - 257. Let w be 6\/9 + f\/(-15). Let b be (5\/20 - (-1)\/4)*2. Solve -w*s = -9 + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/1739?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(132\/66)*(-4)\/(-1)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 21*o - 4. Determine y(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/665 in -0.3, -0.13, 1\/3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 14*q**2 + 11*q - 14. Is 23 a factor of c(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7983 - 6141. What is the remainder when k is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 6 = -3*v. Let i = 82 - 79. Sort i, v, 1.\nAnswer: 1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 9 = 25*u - 20*u, -2*a = u + a - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24627268 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.9 + 34. Let y = j + -2. Let g = y - -3.9. What is the second biggest value in g, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**2 - 10*k + 3. Let o be u(-7). Solve 0 = 4*y - 5*w + w - 32, -4*y = o*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -13, 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5696 divided by -178?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -86*q**2 + 4*q - 5. Let x(y) = 85*y**2 - 4*y + 6. Let r(p) = -7*d(p) - 6*x(p). Let l be r(-1). Suppose 2 = -n + 5, -n + l = 2*u. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3420?\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 66, 106, 148, 192, 238?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.5, 24, -0.1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 47. Suppose -3*w + 5 - s = 0. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v + 67. Let o = -8 - v. Solve 2 = o*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjdptpdmtmpjmtmdt. Give prob of picking 1 t and 3 d.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((2 + sqrt(700))*1 - (4 + -4*sqrt(700))))**2.\nAnswer: -100*sqrt(7) + 17501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 16 + (-4 - 27).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502796 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1265 - 1.5265. What is the fifth smallest value in -11, 5, p, -34, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(2\/25))\/r*r)\/r)\/(r*(r\/r**4)\/r*r)*r**(2\/7)\/r*r\/r**(-5) assuming r is positive.\nAnswer: r**(1464\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154570187.\nAnswer: 3, 257, 421, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9490 + 9499. What is the lowest common multiple of (6*13)\/((-12)\/(-16)) and b?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -410 - -1073. What is the remainder when q is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36547881, 73095761, 109643641?\n\"Answer: 36547880*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a + 49. Let d be k(-4). Solve n = 4*n + d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.2508 and -1275.\nAnswer: -1270.7492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2*z - 4*z + (-20 + 16 - 21)*(0*z - 3*z + 2*z) - 2*z + 0*z + 3*z - z + 7*z + 6*z.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*s + 60, 2*s + 2*t - 96 = -3*s. Suppose -3*w + 179 = -121. Suppose -w + s = -o. Calculate the greatest common divisor of o and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 21*w - 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Sort 8, 0, f.\nAnswer: 0, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {i: 4, a: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164549 = -812*x - 528*x - 797*x for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7137*p**2 - 2*p - 1612*p**2 - 2279*p**2 + 7972*p**2.\nAnswer: 11218*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 1328 - 1336 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201423267.\nAnswer: 3, 53, 46919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3374.4 + 3374. Which is the nearest to -1.1? (a) 5 (b) 16 (c) -0.5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:41 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 639 and 67.\nAnswer: 42813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, k: 2, o: 1, r: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272985 + -272979. Suppose 0 = r - 5. Solve r*z = a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 11. What is the nearest to 0 in -1\/3, s, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152.39 - 0.39. Let i = -151.11 + b. Let z = i + -0.8937. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36366115, 36366114, 36366113, 36366112, 36366111?\n\"Answer: -k + 36366116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0 + 1\/3*q**4 + 0*q**2 - 1\/30*q**6 + 46*q + 3\/20*q**5 + 0*q**3. Determine p so that v(p) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at most -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 90 = -2*r. Calculate the common denominator of (-91)\/(-10)*r\/(-42) and -38\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**3 - 10*h**3 + 31*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 - 12.6. Let d = 6.7 + -7.1. What is the smallest value in v, -0.5, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2*d + 3*d)*(-1515*d + 10704*d - 523*d + 4344*d - 2) as j*d + n + l*d**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*f - 197. Suppose 7*k - 485 = 2*k - 5*o, -2*k + 2*o + 174 = 0. Let q = k - f. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -14. Let i be 20\/8*12\/15. Suppose -3*u = i*c - 181 + 41, 4*u - 3*c = 215. Calculate the highest common divisor of m and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 68. Calculate the lowest common multiple of 137 and g(-24).\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*k + 282 - 4, -5*k - w + 689 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 517 - 177 = 0. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 242771.08 and 13.\nAnswer: 242784.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9099 + 9012.94. Let g = 86 + q. Let u = 4.1 - 4. Sort 1\/4, u, g.\nAnswer: g, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104235 - -0.519.\nAnswer: 0.414765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23209 - -23394. Which is smaller: 151 or q?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1029582 and 79?\nAnswer: 1029661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2411280 and 53584?\nAnswer: 2411280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + u**2 + 5*u**2. Let j(w) = -39*w - 6. Let d be j(-4). Let q(s) = 4*s**2 + 150*s - d*s. Calculate q(i(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 + -7 + 3) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-6))\/((-4)\/(-18)). Suppose -k*o = -14*o - 1. List the prime factors of (3*o)\/((-1)\/(-6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8)\/(u*u*u**(5\/6)))\/(u**(-2))**(-16)*(u**3\/(u\/(u*((u**(-3)*u)\/u)\/u)))**(-39) assuming u is positive.\nAnswer: u**(103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/80 + 927\/(-1008))\/(2\/(-42)). Solve -25*d - x*d = -172 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -3309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9184 - -9185. Let a(x) = -2*x**3 + 40*x**2 - 2*x - 2. Let f(p) = p + 1. Determine o*a(q) + 2*f(q).\nAnswer: -2*q**3 + 40*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 4*sqrt(304)*-6 - sqrt(304)*2*-4) + 0)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7013597 nanograms in grams?\nAnswer: 0.0000000007013597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10921 + 5888. Let n = -2980 - h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14*j + 33. Let r(s) = -13*s + 34. Let g(u) = -2*r(u) + 3*x(u). Let z be g(-7). Suppose z = -16*v + 3*v. Sort -5, -2, v in ascending order.\nAnswer: v, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 + b**2)*(0 + 1 - 2) - 4*b**2 + 6*b**2 + 0*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*p = -20, 7*p = -5*q + 2*p - 30. Let u(j) be the first derivative of -17 + 1\/4*j**4 + 3*j + 5\/3*j**3 + 1\/2*j**2. Determine u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 + 98*a - 98. Let y be g(15). Solve 21*t - 4*o + 13 = y*t, -3*o + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 33*p - 351. What is j(-41)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 298, 469, 640, 811, 982?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by -269.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 a when three letters picked without replacement from kggvaakav?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 4*s**2 + s - 2. Calculate g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1819, 3691, 5529, 7315, 9031?\nAnswer: 10659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122\/225 + -8\/25. Let o be (-30)\/(-25) - 2\/2. Let t be ((-532)\/(-147) - 4)*(-35)\/15. Which is the third biggest value? (a) k (b) t (c) o (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -248, -238, -228, -218?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z + 12. Give g(-28).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let c(r) = -4*r**2 + r**2 - 2*r**2 + 3*r**2. Determine p(c(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*(48*z**2 - 4294 + 4294)*((-4 - 1 + 2)*(0 - 1 + 0) + 3 - 2 - 3).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/7 (b) -0.9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/63*(1 - -1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-15) - 29\/(-3). Suppose -3*m + n = 1. Find the third derivative of 28*o**2 - 30*o**2 - m*o**5 - 3*o**5 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3932119.\nAnswer: 3932119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0\/2)\/4. Let f = 0 - h. Suppose 286 = -f*n + 2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 2.5. Which is the closest to q? (a) -3 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32239 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, 5*s + 4*f + 189 = 3*f. Let l = 47 + s. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2*sqrt(228) + sqrt(228))*2)\/((sqrt(84) + sqrt(84)*-2)\/sqrt(7)) - ((sqrt(76) + 0)*2 + 2))**2*-5.\nAnswer: 1000*sqrt(19) + 47600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -25. Which is the closest to t? (a) 5 (b) -0.5 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 7*p - 14596 - 8147. What is the highest common factor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131914, 131782, 131650?\nAnswer: 131518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/4 - 6\/(-24). Suppose k*r = -a + 51 + 45, -104 = -4*r + a. Solve -3*u - r = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 979212887 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-15)\/(-1)*((-2)\/(-1))\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*l + 1419*l - 6*l**2 + 1378*l - 5682*l + 1443*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 28, 48, 70, 94, 120?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 + 2*i**2)*(14*i - 9*i + 9*i) - 263622*i**2 + 263978*i**2 + 3*i**3 - 5*i**3.\nAnswer: 12*i**3 + 356*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 11. Let s be (-9 - 3)*22\/33. Calculate i(s).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-8)\/1)*-8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 93350*x - 17585144.\nAnswer: (x - 93538)*(x + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 2 z when four letters picked without replacement from zlxxjljjxxzjjzx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:42 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 8025274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.8 + 45.3. Which is the nearest to 0.02? (a) l (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 11:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15606*r - 170. Let c(i) = 92*i - 1. Let p(x) = -170*c(x) + u(x). Let b(q) = -42*q + 3. Give p(b(s)).\nAnswer: 1428*s - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534949947?\nAnswer: 2243, 684329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = 491. Let u = p + 186. Calculate the highest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 83*c**6\/120 - c**4\/3 + 5*c**3\/6 - 2*c**2 + 15*c. Find the second derivative of d(t) wrt t.\nAnswer: 498*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*f = -10 - 2, 0 = -3*f + 3. Solve n + k*b = -2, 0*b + 2*b + 12 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14018 + -63944468.\nAnswer: -63930450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1565951 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 125 - 18*l - 285 - 3*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -317134, -2 in descending order.\nAnswer: -2, -3, -317134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, b: 2, h: 5, t: 3}. Give prob of picking 1 h and 1 s.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Suppose i = -2*p - p + 15. Solve -p - 15 = 4*u, -5*u = -5*c + 45 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**5\/20 - f**4\/4 + f**3\/3 + 2*f**2 + 20*f + 32. Let u(z) be the first derivative of h(z). Calculate u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75037, 75069, 75101?\n\"Answer: 32*q + 75005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -818*m + 788*m + 5190. Suppose -m*b = q - 172*b + 3, -4*b = -2*q. Let i be (-18)\/(-8) + -1 - 1. Sort 0.05, q, i in decreasing order.\nAnswer: i, 0.05, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-49 - (4 - (-8 + 19 + 2)))) + -8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/30 + 7\/12. Let u(b) be the second derivative of -2*b - r*b**5 + 1\/2*b**4 - 1\/2*b**3 + 0*b**2 + 0. Suppose u(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -101, -94, -73, -32, 35, 134?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.083597 months in decades?\nAnswer: 0.084029975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15326487 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of ((-1)\/2)\/(87\/(-23664))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(32\/12)*(-2)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v + 6. Let s be a(-4). Let o(q) = q + q**2 - 11 + 0*q + 1 - 6*q. Let k be o(10). What is the greatest common factor of k and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0 + 0*l**5 + 0*l**3 - 9*l**2 - 1\/96*l**4 + 0*l + 1\/480*l**6. Determine p, given that h(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148370 and -74.\nAnswer: -10979380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.7666 + -8.86. Let u = -0.314 - s. Round u to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 47 + 2 + -7 + 2 + 134 + -129.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:37 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - 7\/4. Let v(z) = 5*z**2 - 2*z - 35. Let i(t) = -6*t**2 + 2*t + 44. Let q(o) = -4*i(o) - 5*v(o). What is q(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -22*f**2 + 36*f + 231. Calculate o(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 5 + 5)*(-1 - 3*x + 10*x + 2).\nAnswer: -14*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -77f09 (base 16) in base 10?\nAnswer: -491273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/5)\/(88\/(-2365)))\/((-150)\/600).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w - 3. What is x(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:45 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57109826 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1004.4, 0.05, -6\/17, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/((-1)\/(-12)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*3)\/(-7)*(24\/(-30))\/4.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.98.\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2200314 (base 5) to base 11\nAnswer: -26268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 12 + 8 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 - -474. Suppose 8*o + 2*o - q = 0. Solve t + 3 = d + 1, 4*d = -3*t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146371 (base 10) to base 13.\nAnswer: 51814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, w: 2, c: 4, s: 3}. What is prob of picking 2 s and 2 p?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrva. What is prob of sequence aar?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 - 1. Let p be w(-1). Let b = 12 + p. Solve 2*f + 2*h - 12 = 0, -b*f - 6*h + 2*h = -28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*h - 152*h - 52 = 0. Solve -2*r = 2*v - 2, 3*r = 4*r - h*v + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15041 is divided by 225.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 40 = 2*h, -20 = 4*k - 90927*h + 90925*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t**3 - 52*t**3 + 3*t**3)*(14*t - t + 2*t).\nAnswer: -975*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 9, o + 3*o - b - 15 = 0. Let w(h) = -o*h + 3*h + h - 3*h. Let z(a) = a**2. What is z(w(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaum when four letters picked without replacement from muamsucammas?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -3)*1\/37. Let x = 34\/111 + k. Which is the nearest to x? (a) 2\/3 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 820188571 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.3 + 30. Let r = 5094574 + -5094570.6999985. Let i = r + j. Round i to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:13 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6 + 2*r - 3*r + 6*r. Let c be (-2)\/5 - (-44)\/10. Is n(c) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z**2 - 64. Let s(a) = 6*a**2 + 21. Calculate -4*h(y) - 11*s(y).\nAnswer: 2*y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (370\/4)\/((-2)\/(-148)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 2*a + 81, -169144*a + 177 = -3*j - 169148*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4*y + 1)*(0*y**3 + 2*y**3 - 3*y**3) + (0*y - y - y)*(y**3 - 4 + 4) + 2*y**4 + 0 + 2 - 5*y**4 as u*y**3 + g*y**4 + q*y + t + a*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26855 to three decimal places.\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 29 + 6)*(4 - 4 - 2*w)*(1 + 0 + 5)*(-6 + 3 + 4).\nAnswer: 444*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 6*v**2 + 4*v + 2. Let l be r(-2). Solve 3*j - 4 - l = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 58*l - 297. Give a(-12).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 303?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 30*x - 46. Calculate p(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i. Suppose -8*u + 273 = -15*u. Let f be u\/(-4) - 4\/(-16). Let m = f - 13. Calculate g(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010 + 876 = -67*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + r**2 - 4)*(1279 - 1279 + 203*r) - 4*r + 2*r**3 + 4*r.\nAnswer: 205*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/371? (a) 5\/6 (b) -2 (c) 0.3 (d) -1\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -714 + 766. What is the remainder when 257 is divided by f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 12, r: 7}?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114 - 22*u - 114 to the form t*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281013650.\nAnswer: 2, 5, 5620273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -6. Let a(h) = -h**2 - h + 6. Calculate a(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-6 - 3030\/(-500))*25\/6\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 31062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*s + 124, 3*j + 2*j - 2*s = 172. Suppose 0 = -q + 5*p + 25, -5*p - j = -4*q - p. Let w = -4 + q. Solve -b = -2*b - w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15*(-10)\/12. What is the third biggest value in -0.03, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3346 - 23*c**3 + 13*c**3 + 90*c**3 + 2843.\nAnswer: 80*c**3 - 503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpe when three letters picked without replacement from pzorzpoproozbroeoprr?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**5)\/c*c)\/c**0)\/(c**1\/(c\/(c*c**5)))*((c\/(((c\/c**(-2\/7))\/c)\/c))\/c*c**(-5))\/((c\/(c**(4\/3)\/c))\/(c\/c**6*c*c)) assuming c is positive.\nAnswer: c**(-167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -5656217373.\nAnswer: -5656217373.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 13*s - 14. Let q be p(-14). Is (49\/q)\/(-7)*27788 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + 5*q + 0*q + (-145 + 47 - 97)*(-7 + 7 - 3*q) to s*q + v and give s.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/2 - 2*t**2 - 7*t\/2 + 5 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758785573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (20 + (-47 - -52) - (157 + -2))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*42\/4. Let p = 10 - i. Let y(g) = -g**2 + 22*g + 24. Let w be y(23). Sort p, w, -3 in descending order.\nAnswer: p, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/3 - 3*3\/(-3). Suppose 14 = q - z*r, -5*r + 2*r = -q + 12. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/7 - 460*f\/7 + 1398\/7 = 0. Calculate f.\nAnswer: -233, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.8 to 0 dps.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12902\/12231096)\/((-3)\/(-12))?\nAnswer: 1\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52254, 52256, 52258, 52260?\nAnswer: 52262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13 = -19. Is 7 a factor of (150\/5)\/z + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let p(r) = 21*r**2 + 84*r + 84. Let s(f) = f + 1. Suppose 8*v + i = 4*v + 4, -5*v = 5*i - 5. Let c(y) = v*p(y) - 84*s(y). What is n(c(k))?\nAnswer: 441*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 1\/27, 79, 0.33 in decreasing order.\nAnswer: 79, 0.33, 1\/27, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -3*d**5\/40 - d**4\/8 + d**3\/6 - d**2. Let t(r) be the first derivative of k(r). What are the prime factors of t(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from ecrqcrhqrqchqrqqc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a - 125*a**3 + 133*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 265 = -i - 5044, 2*j + i = 2391. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**3 - 24*q**2 - 41*q + 24. Let m(s) = -13*s**3 + 47*s**2 + 81*s - 47. Let d(c) = 11*k(c) + 6*m(c). List the prime factors of d(19).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/23593192 and -31\/70779576.\nAnswer: 70779576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3420 and 2565?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from dyyadaadywdydad.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epoa when four letters picked without replacement from oepezoooaz?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/3)\/i*i))\/(i**(1\/9)*i))\/((i*i**(12\/5))\/i**9) assuming i is positive.\nAnswer: i**(277\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13335 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 27. Let a(p) = 83*p - 1. What is a(d(u))?\nAnswer: -83*u**2 + 2240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 10*n + 0*n.\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.9 + 60.9. Let v = p - 54. Which is the second smallest value? (a) 5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*g**2\/5 - 162222*g\/5 + 4635 = 0. What is g?\nAnswer: -7725, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g + 4814 = 106*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 2250?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 404857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 26*j + 70039. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(-11)*a**35*a\/a**(-11\/2)*a**(-19)\/a assuming a is positive.\nAnswer: a**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48329040 a multiple of 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.2, 12, 0.3418?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14153\/801 - -2\/801. Calculate the common denominator of 14\/(-63) - 3*3\/(-18) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/60 + 2*r**3\/3 + r. Let z(q) be the second derivative of f(q). Let m(j) = 0*j + j + j. Give m(z(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 15 - 15)*(2 - 2*l - 2)*(-3*l - l + 5*l) as u + q*l**2 + s*l + n*l**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -20.88 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1112*p - 2*p**3 - 4*p**2 - 1105*p - 2 + 7*p**2 + 4 in the form r*p**3 + t + f*p + s*p**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2124 + -2123.96. Which is the second biggest value? (a) 2\/15 (b) q (c) 1\/10 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 27 (c) 0.138 (d) 0.4 (e) -0.5 (f) -19\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**3 + 252*r**2 - 968 with respect to r.\nAnswer: -6*r**2 + 504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1701 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 2127?\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82 and 23708663.589.\nAnswer: 23708745.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 1 - 1)*(-v + 3*v - 6*v + (6*v - 4*v + 2*v)*(-1 - 3 + 6)) as n*v + d*v**2 + t and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 632976.2ml?\nAnswer: 632.9762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = -5*g - 2, 3*t + 5*g + 4 = 0. Let f be (-2)\/(-1*2 + 1). Solve -t*d = -f - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/q**3)\/q))\/q**(2\/3))\/(q\/(q**(-2\/15)*q)*q**(4\/7)) assuming q is positive.\nAnswer: q**(57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.17 - 0.17. Let t = d + -16. Let s = -2.4 - -1.4. What is the nearest to s in t, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**8\/2880 + 23*g**5\/20 + 5*g**2 + 1. Let a(b) be the third derivative of j(b). Let v(o) = -13*o. What is a(v(t))?\nAnswer: -1183*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**2 - 7*q - 1. What are the prime factors of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9423844*-38.\nAnswer: 358106072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2148*a**4*o**2 - 3*a**3*o**3 + 4083*a**2*o**3 - a*o**3 wrt a.\nAnswer: 51552*a*o**2 - 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 3*l - 20. What is the lowest common multiple of 10 and d(3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 3, 51 in descending order.\nAnswer: 51, 3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -37. Let b be ((-14)\/21)\/((-6)\/45). Suppose 0 = -2*a + n - 9, a - p*a + b*n = 35. Sort a, -4, 5, -5.\nAnswer: -5, -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 14 + 4. Let q(d) = d**2 - 3*d. Let r(p) = p**2 - p. Suppose 5*f - 12 = -2. Let z be ((-1)\/f)\/((-4)\/(-8)). Calculate v*r(g) + z*q(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/16*(-1936)\/(-121)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2120021222000 (base 3) to base 15\nAnswer: 1be1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 10\/59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53350\/9 - -5921. What is the common denominator of 55\/3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*l - 10943 + 10944 - 54*l to i + b*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/12 - f**2\/2 + 25*f. Find the first derivative of z(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b, 3*b = 5*r - 4 - 97. Suppose 5*i = -4 + r. Let k = -2356 - -2360. Solve 5*c - 9 = -2*o, 0 = -4*c + 2*c + i*o - k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18443400 to the nearest one hundred thousand.\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**2\/2 + r - 3. Let u be w(1). Is u >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1086*i*o**3 + 2*i*o**2*s - 36*i*o**2 - 742*i + 29*o**3*s - 2*o**3 + o**2 + 4*o*s wrt o?\nAnswer: -6516*i + 174*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21)\/(15\/(-1365)*28\/12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -19 + (-1 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i + 3. Let d be o(-3). Let g = 3 - d. Suppose -2*q + 14 = -8. Calculate the greatest common factor of g and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 10 - (-17 + 3 + -9 + -54)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 38 - 204\/18)\/(1*(-4)\/636).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(289 - 309)*-21?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -v + 19*w + 12, -2*v + 4*w + 18 = 0. Let j(l) = -9*l + 9. Determine j(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033857136 to 7 dps.\nAnswer: -0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 + -3 + 4 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/2)\/n**4)**(-20))**7 assuming n is positive.\nAnswer: n**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20120 - -100221222?\nAnswer: 100201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -29. Let v(t) = -2283*t - 145. Calculate -v(k) + 5*y(k).\nAnswer: 2283*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5196, 10687, 16644, 23301, 30892, 39651?\nAnswer: 49812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3 - 10 - 2 + 8*l - 7*l**2 + l**3. Let v be o(6). Solve 3*b = 2*h + 6 - v, 0 = -4*b + 3*h + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-3) - -2236 - 2 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4185 by -837.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*j + 2*y, j + 5*y = 10*y + 68. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 9*v**2 - 5*v - 8. Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:01 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.931 times 548?\nAnswer: -88738.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32476 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(2 - 1))\/((-11)\/(-11)). Let g(j) = j**2 - 6*j - 4. Let d be g(7). Suppose -5*p - 5 = -5*t - d*p, v = 2*p. Solve k = 2*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z**2 - 5*z - 8. Let c be t(-3). Let m(h) = 3 - c*h - 3 + 146*h. Let q(i) = -5*i**2. Determine q(m(x)).\nAnswer: -845*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + (-2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901*o = 99*o - 7978 - 14022 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/12 + 12*n. Let f be (-3)\/(-12) + (-22)\/(-8). Let q(l) = -f*l + 3*l + 2*l - 4*l. What is k(q(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 376 - 376 + (-5*m + 5*m + m)*(17*m - 9*m - 51*m).\nAnswer: -47*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2323.408482927 - -1229.408484129. Let q = g + 1094. What is q rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1224023 (base 6) to base 9.\nAnswer: -110076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645 + 882 + 846 - 26*z - 3684 + 748.\nAnswer: -26*z - 563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 + 149819*q = 0. What is q?\nAnswer: 0, 149819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpppzpzbbbkzpzpv. What is 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 square root of 5574177 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.7, -4\/5, -0.1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbcm when four letters picked without replacement from {k: 1, d: 2, m: 7, b: 4, c: 2, g: 4}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120321748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*k**3*p**2*t + 13993*k**3*t**2 - 76*k*p**2*t**2 + 154*k*t**2 + 11*p**2 - 2 wrt k.\nAnswer: -216*k*p**2*t + 83958*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 40*s - 2. Let a(o) = -o**2. What is l(a(m))?\nAnswer: -40*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a factor of 1395313644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k - 3. What is the remainder when f(3) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -98. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + t - 57217 + 57192, 0 = 4*l - 5*t + 125 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 6.03. Let z = 4 + o. Which is the nearest to 1\/3? (a) -3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/182 - (-6654)\/1872 and -1\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 5*p + 2 = 37*u, -3*u = -3*p + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170 = -175*n + 64*n + 72*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {u: 3, e: 1, f: 8, a: 1, d: 2, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -1\/15*a**5 + 0*a + a**2 - 1\/2*a**3 - 1\/8*a**4 + 0. What is w(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4203.99904206 + 0.77905794. Let k = x + -4206. Let o = 1.23 + k. What is o rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49707 is divided by 170.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.473 - 231373808?\nAnswer: -231373804.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 198640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - -38.6. Let l = z - 32. Suppose 6*f - 9 = 3*f. Put f, l, -1\/5 in decreasing order.\nAnswer: f, l, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 28. Solve -2*l = -5*i - 3, -2*l + i = -j*i - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*y + 21*y + w + 25, -2*y + w - 38 = -42 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/84924 and 131\/672.\nAnswer: 679392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11740\/35 + (-5)\/(70\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 188478?\nAnswer: 188478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -105 - (13 - ((2 - 1) + 15 + -5 - 0))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 16. Let a be (-6)\/((-2)\/((-32)\/12)). Let r(t) = 2*t + 11. Let m(p) = a*r(p) + 5*o(p). Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249 - 139 - 439*k + 383 to d*k + a and give d.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let q(j) = j**2 - 38*j + 375. Let c be q(17). Suppose t + 3*r - c = 1, t = -g*r + 14. Calculate the highest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -5*j**2 + 5*j - 6. What are the prime factors of c(-13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.00695537 to 1 decimal place.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 2, u: 2, j: 4, r: 2}. What is prob of sequence rnj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 5*q + 5*r, -10956*r = -q - 10960*r - 1 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + -6*(0 + (sqrt(1216) - (sqrt(1216) + 0))))*-1*-1 + -1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106 = -231*i - 49 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -6)*(0\/(-3) + 1). Find the third derivative of -4*n**v + 4*n - 2*n - 8*n - 45*n**3 + 4*n wrt n.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let f be 4\/(-10) - (-17)\/5. Suppose -5*n = -2*l - 22, -3*n + 15 = -5*l - 2. Sort c, n, f in descending order.\nAnswer: n, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-10)\/75). Let z be (-66)\/20*s\/(-6). Is z greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1514668842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31108 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102577*d + 1 + 75782*d - 1.\nAnswer: -26795*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 - 4*r + 3. Let z = -41 - -81. Suppose -3*w = 4*m + z, -2*w + 27 = -5*m - 0*w. List the prime factors of d(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -k, 6 = 3*n + 2*k - 0. Suppose -3*m + 3*p + 456876 + 101109 = 0, -743985 = -n*m + 3*p. Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30549628?\nAnswer: 2, 7637407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1129666 at least as big as -1129664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -662167?\nAnswer: -662168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.058161031 to two decimal places.\nAnswer: 10.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/19)\/d))\/d)\/(d*d*d*d*d**(-1)\/d*d))\/((d**8*d)\/(d\/d**(2\/11))) assuming d is positive.\nAnswer: d**(-2106\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*x - 7*c, 5*c + 5 - 35 = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3398 + 3398 + 119*k**2 - 1 + 1 + k**2 + (-2*k + 1 - 1)*(-k - 2*k + 2*k).\nAnswer: 122*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1. Let m(x) = 23*x + 3. Let k(r) = 6*j(r) + 2*m(r). Let g(b) = -2*b - 10817 + 10817. Calculate k(g(h)).\nAnswer: -92*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5151.588 litres to millilitres.\nAnswer: 5151588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53887880927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831444336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) 1.4 (c) -0.786\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/2232)\/(1397\/176 - 8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 3894?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217619 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.3 (c) -142936 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74336 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3610 and 204464.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 9 + -4 + 0 - 0. Suppose 3*z - 5*o = 11, -x*z + 4 = -5*o - 4. Let y = z + 227. What is the greatest common divisor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k - 19. Let m(c) = 16*c + 37. Let n(r) = 6*m(r) + 11*p(r). Let v = 154 - 151. What is the tens digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 4*c**2 - 2 - 1)*(-5*c + 4*c - c) + (c - 6*c + c)*(0*c**2 + 2*c**2 + 0*c**2).\nAnswer: -10*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29451 = 68*t - 47933. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 + 326517*j**3 + 7*j**2 - 452*j + 1646.\nAnswer: -12*j**2 + 1959102*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y + 1564 - 1036 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((4\/3)\/(-4)). Factor 10*i - 12*i**p - i**2 + 4*i**4 + 2*i + 0*i**2 - 3*i**2.\nAnswer: 4*i*(i - 3)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3416698ng to kilograms.\nAnswer: 0.0000000000003416698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 480810 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 16*i**2 - 41*i + 26 = 0. Calculate i.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 45*d - 49. What are the prime factors of j(2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14686207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(1\/5)*t)\/t))\/(t**(2\/3)*t*t*t*t)*(t*t**5\/t*t)\/(t**(-5)\/t)*(t**3\/t**(-3\/4))\/((t\/t**(1\/6))\/(t**(-3)*t)) assuming t is positive.\nAnswer: t**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (104\/24)\/(-13) + 83148\/250740. Is 0 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 306?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 + 23 - 43)*(-198*a - 12 - 15 + 197*a) to the form n*a + l and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - -32. Suppose 3*d + k = 7*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5994*d = 6014*d - 100. Let g(s) = -2*s**2 - 3*s + 9. Calculate g(d).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 979728 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 62.6. Let d = 1.4 + k. Let c = 7 - 2. Put d, c, -2\/11 in ascending order.\nAnswer: -2\/11, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(108)*-4 - sqrt(108) - sqrt(108)))\/sqrt(6))\/(sqrt(144) + sqrt(144)*3*6).\nAnswer: -9*sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (34856\/12)\/(3 - (-35)\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -51 (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33465*u + 33387*u = -234. Determine i so that 4\/5*i**u + 0 - 4\/5*i + 2\/5*i**2 - 2\/5*i**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3618\/17 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4574*2.\nAnswer: -9148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 0, -2*i - 2*i = -f - 9. Suppose r + 88 = f*r. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 662, 21, 1000 in increasing order.\nAnswer: 21, 662, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -0.1, -7297, 1\/3, 5, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506724 to the power of 1\/2, to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -581978, -2327952, -5237906, -9311834, -14549730, -20951588?\n\"Answer: k**3 - 581996*k**2 + 7*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbir. What is prob of picking 1 r and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.18 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 6 = -d, -4*d = -5*f - 2 - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14250000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2486071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2870 and -41\/20.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 44*q**2 - 27*q + 539. Determine u(-23).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((142\/852)\/((80\/108)\/(-5)))\/(6\/2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = -24*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 - 2*j**5\/15 - 3*j**4\/8 + 5*j**3\/6 - j**2. Let s be x(9). Suppose -s*v + 15 = -0*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 14*i + 14. Let q be p(14). Suppose 212 = q*c - 10*c. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70960 and 3415?\nAnswer: 48465680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3 (c) -4 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134414 - 10?\nAnswer: -134424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1000 and 221750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w = -867 - 1382 + 665 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*-78*1. Let u be ((-25)\/(-20) - (-135)\/(-140)) + (-3286)\/84. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2. Let m(q) = -2*q**2 + 4*q + 4. Let f be 4\/(-4) - (3 - 0). Let r(l) = 2*l**2 - 5*l - 5. Let b(y) = f*r(y) - 5*m(y). Give b(z(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -104, -136, -174?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 3}. Give prob of sequence mmmu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 5*u = 1606 - 1680, -3*y + 8*u - 150 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 10645\/88?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:33 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -42 (b) 1 (c) 34 (d) 1\/2 (e) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 181, 457, 721, 967, 1189, 1381, 1537, 1651?\n\"Answer: -c**3 + 283*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2282131*r**3 + 11972650*r wrt r.\nAnswer: -13692786*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10\/5 - (-53)\/((-477)\/288)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.081394 + -0.081. Round j to five dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/15 + 12*l**3\/5 - 2*l**2\/15 - 12*l\/5 = 0. What is l?\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587891 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -d + 119, -377*t + 380*t = -3*d + 369. What is the smallest common multiple of d and 49?\nAnswer: 6125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(3\/4)*g)\/(g\/g**6))**(3\/7))**(1\/45))**(2\/25) assuming g is positive.\nAnswer: g**(9\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2885782, -5771565, -8657348, -11543131, -14428914?\n\"Answer: -2885783*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 1}. Give prob of sequence bbs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8188.482 centuries in millennia?\nAnswer: 818.8482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 11) + 5 + 0 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -18. Let w = -10 + b. Let z = w + 3.00102. What is z rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-216)*16)\/((-6)\/(-234))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -17*o**3\/6 - 13*o**2\/2 - 10*o. What is the derivative of v(t) wrt t?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t - 51. Let m = 333 + -348. Let b be r(m). Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l**2 - 22*l**2 - 15*l**2 to u*l**2 + o*l + s and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4 + 335*o**3 + 4950*o**2 + 18720*o = 0.\nAnswer: -48, -13, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -811 + 817. Solve g + 21 = w + n*g, -4*w + 3*g - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167190 and 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 2*m. Let j be y(3). Suppose -i = -2*i + j. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5\/4, 4684?\nAnswer: 4684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237212427?\nAnswer: 3, 1079070809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3362, -3319, -3276, -3233?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. What is the nearest to 5 in y, 1\/3, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -976, -988, -1014, -1060, -1132, -1236?\n\"Answer: -c**3 - c**2 - 2*c - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.267 - -0.227. Let s = o - -0.04. Let j(f) = f**2 - 5*f + 5. Let k be j(5). Which is the closest to -1\/3? (a) k (b) -4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**3 + 9259*w**2 + 46415*w wrt w.\nAnswer: -48*w + 18518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(2\/47)*t\/t**(-3\/10)*t**(1\/5) assuming t is positive.\nAnswer: t**(995\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpllpilz. What is prob of sequence zl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 + 797*p**3 - 796*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -324*u**4 - u**2 + 5*u + 12. Let y(h) = 646*h**4 + 3*h**2 - 10*h - 22. Let d(k) = 11*l(k) + 6*y(k). Find the third derivative of d(w) wrt w.\nAnswer: 7488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 115 = -6*u. Suppose 9*p - 520 = -p. Let k = u + p. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -246, -39, 5, 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -13) + 16 + (-8 - -4 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -3*p + 2, 4*p + m = 3. Suppose q - 4*v + 0 + p = 0, 3*v = -3. Sort 4, -17, q, 5 in ascending order.\nAnswer: -17, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9 = 3*o + 3*p, -30 = -4*o + 5*p. Suppose o*v = -17*v + 308. What is the highest common factor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 29 - 127. Let a(c) = 19 - c + 30 - b. Let o(d) = -4 - 18 + 22 - 54*d**2. Determine o(a(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804081097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*z + 376, -4*h + 284 = -4*z + h. Let n be (3 + z\/20)*(-10)\/4. Let d = 105 - 106. What is the closest to d in -3, 1\/4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k. Let d(a) = -66421*a. What is d(q(s))?\nAnswer: -398526*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 2*t - 1. Let f(n) = -n. Let o(l) = -f(l) - v(l). Let c be o(1). Sort 4, c, -19 in decreasing order.\nAnswer: 4, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 3, i: 5, w: 10, t: 2}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*r**6 - r**5 + 5*r**2 - 19*r.\nAnswer: 9840*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 17918*s**2 - 17906*s. Determine g(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -5*i - 40. What is the derivative of 39*a**2 - 63 + 20*a**i - 8*a**2 wrt a?\nAnswer: 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3621*n**5 - 463*n + 3 - 3 - 4109*n**5 wrt n.\nAnswer: -9760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270986.4 less than -0.03?\nAnswer: -1270986.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -4.2985.\nAnswer: -0.042985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.440427568 - -0.4405. Round d to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 34 + 12 + -28.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 17*w + 4. Let u(x) = 3*x**2 + 33*x - 9. Let s(n) = 9*g(n) + 4*u(n). Find the second derivative of s(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2929209 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51, 57, 63, 69?\n\"Answer: 6*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1162802*g**3 - g**2 - 1231*g + 3 wrt g?\nAnswer: 6976812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7569*k - 7507. What is g(-1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 4040.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*c + 48 = -30, 5*j - 130 = 4*c. Let w be 6\/(-24)*-4*39. Calculate the greatest common factor of j and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-627)\/(-6) + 10\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-853)\/2559 + 31\/3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(288) + 0)*3 + 4)*-3 + 1 + -1)**2.\nAnswer: 2592*sqrt(2) + 23468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -562\/53955 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47369485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.9406 - 158.1. What is w rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 - 42*b + 42*b + 2 - 2 - 2*b**3 - b**2 + b**2 + b**3 + (-3*b + 2*b**2 + 3*b)*(4*b + 2*b - 4*b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 2. Suppose -4*u - 7*n + 155 = -2*n, 5*u = 5*n + 250. Calculate the remainder when u is divided by m(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58159\/10 - -5824. What is the common denominator of k and -63\/85?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 239*p**2 - 150*p - 48. Is d(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36295 - -2805?\nAnswer: 39100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 - g + 5. What is z(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1037.9896973 - 119.\nAnswer: -1156.9896973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/11)*t)**(-29))**(-42))**(-13\/3) assuming t is positive.\nAnswer: t**(-110838\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429757?\nAnswer: 367, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 + 42*s**3 + 38 - 43*s**3 - 47. Determine c(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-525)\/390)\/(770\/(-220)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14761 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1186 divide 11540966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.32809502*-3.\nAnswer: -36.98428506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5909695 to the nearest integer?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*c**2 + 53*c**2 + 57*c**2 + 24*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5767 and 12337.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -15 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*2*2*(-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-3))\/(14\/(-21)). Suppose 11*h - w*h + 35 = -5*d, 0 = -d - 4. Solve -4*s - 7 = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 45 = -91 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 34*z**3 + 9*z**5 - z - z - 40*z**2 - 7*z**5. Let i(b) = b**5 + b**3 - b**2. Let m(n) = h(n) - 4*i(n). What is the third derivative of m(f) wrt f?\nAnswer: -120*f**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2*(-10)\/90*10. Suppose 783 = -5*m + 138. Let o be m\/(-15) - a - (-4)\/10. Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142034 (base 5) to base 10.\nAnswer: -21519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 4. Let n = 11 - 7. Let h be v(n). Solve 2*p + h + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -93, 1\/7, 4, -282, 0.3?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186170711 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 332502 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*w**2 + 511*w + 1885615 wrt w?\nAnswer: -132*w + 511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/(-440)*60\/3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, u: 2}. What is prob of sequence usss?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 36 + 97 = 0. What is the second derivative of 24*r - 21*r**3 - q*r + 20*r wrt r?\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.4 (b) -521 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -12, -0.3, 0.022, -1, 2, -98\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 2, m: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*q + 26. Suppose q*i - 75 = 105. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574379 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5165.61 millennia?\nAnswer: 61987320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2, 161\/3, 2\/5 in ascending order.\nAnswer: -3, -2, 2\/5, 1, 161\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 66*h = 80*h + 10, 0 = 2*v + 3*h - 34 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5376983221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24483422, -48966839, -73450256, -97933673, -122417090, -146900507?\nAnswer: -171383924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0)*(-3)\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6*(-1)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 8055, 22.\nAnswer: -1\/2, 22, 8055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 0*d**3 + 2*d**3 + (-2*d + 4*d - 4*d)*(-6*d**2 + d**2 + 4*d**2) - 11278*d**3 - 6*d + 6*d + 11456*d**3.\nAnswer: 177*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1584) - 4*-2*sqrt(1584))**2.\nAnswer: 769824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5066\/(-596)*2\/986\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -22. What is the greatest common factor of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3980*27.\nAnswer: 107460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -102*o**2 + 84. Let l(x) = 204*x**2 - 168. Let d(n) = 9*c(n) + 4*l(n). What is the first derivative of d(i) wrt i?\nAnswer: -204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -67.5. Which is the second biggest value? (a) -13 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -115792, -2\/21?\nAnswer: -115792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13136*g**3 - 16108 wrt g?\nAnswer: -39408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 - -168. Let q = -2 - -2. Suppose 2*u = -q*u + 10. Does u = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/5 + 84*n**2 - 5880*n + 137200 = 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -36*k**2 - 189*k - 1323. Let z(b) = -5*b**2 - 28*b - 189. Determine -4*w(c) + 27*z(c).\nAnswer: 9*c**2 + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 131, -5, -4, -6 in descending order.\nAnswer: 131, 3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336637 is divided by 337.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/((-2)\/(-14)*-23*(-308)\/1012).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 20, 1, -5\/3, 1.021?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -38 - (-11 + -6 - -16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + 23*m**2 + 51*m + 28. Determine u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6002 (base 12) in base 14?\nAnswer: -3aca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236818661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 34*m - 1240\/3.\nAnswer: -2*(m + 20)*(m + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 4f0b8c?\nAnswer: 4f0b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 2*z**2 + z - 1. Let q(d) = 20*d**3 - 8*d**2 - 5*d + 4. Give -5*a(w) - q(w).\nAnswer: -15*w**3 + 18*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394 - -399. Let y = -2 - -5. Solve 0 = y*t + 17 - d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (341\/(-868))\/((-11)\/6)*(-4)\/(-42).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 7 = -g. Solve 2*j + g = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - 51\/(-12). What is the first derivative of -2 - 6*n**m + 3 + 2 wrt n?\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*a - 66 = -169*a. Solve -a*p = 3*t - t, 0 = -p - 4*t - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18389 - 312611\/17. Which is the nearest to 21? (a) y (b) 4 (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.48 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 11\/(44\/20). Suppose k - w*f = -124, -3*k - 171 = f + 221. Are k and -129 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 764582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)\/sqrt(4) - sqrt(180)*-5.\nAnswer: 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29569, -1, -0.2, 1, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 5. Suppose n*c - 16 = 3*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*z - 8, 55*z - 51*z - 23 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005268425 rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902077000 rounded to the nearest 1000000?\nAnswer: 9902000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5756, 23119, 52062, 92579, 144664, 208311, 283514?\nAnswer: 370267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17815 (b) -433 (c) 1\/3 (d) -0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(336\/35)\/16.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 325 from 0.143.\nAnswer: -324.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 1.75, -0.1, -2, 5 in decreasing order.\nAnswer: 6, 5, 3, 1.75, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7353118 - 0.1628.\nAnswer: -7353118.1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*v + 3*v**2 - 4 + 4 + 230*v**3 + 1 - 234*v**3 in the form u + y*v + p*v**2 + z*v**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 9*h + 15. Suppose -5*v + h*v = -6. Suppose 3*q = -v*g + 6*q + 54, -5*q + 38 = 3*g. What is the smallest common multiple of g and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52727 divided by -2370.\nAnswer: -52727\/2370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3*30\/(-25). Let b be -2 + g + (5079999 - (3 + -4)). Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 323. Suppose -2216 = -7*z + s. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32677246, -32677254, -32677262, -32677270, -32677278?\n\"Answer: -8*x - 32677238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k = 33*k - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0 + 1 - 3*d**2 + 1 + d**3 - 2*d**3. Let y be r(-3). Find the third derivative of 2*l**2 + 0*l**6 - y*l**6 - l**2 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/29, 2\/17, 0.5 in ascending order.\nAnswer: 2\/17, 5\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o**2 + 0*o + 27 - 1\/3*o**3. Let y(u) = -11*u. Calculate v(y(f)).\nAnswer: -121*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let f(q) = -q**2 - 3*q. Let c be ((-3)\/(-2))\/(3\/6). Let g(d) = c*p(d) + 2*f(d). Let r(o) = 3*o**2. What is r(g(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-63) + 1\/(-2) + 2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5048b57 - 50?\nAnswer: -5048ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 = 2. Let m(b) = 348*b**2 + 2 - 349*b**2 + 65*b - 71*b. Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11225656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13 - 2212*g - 2*g**2 + 2209*g + 5*g**2 - 2*g**2 - 1. Suppose 3 + 15 = 3*y. Calculate the remainder when h(y) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509763 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108174 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = 2*d - 5, d + 3*y - 12 = 0. Suppose d*x + 12 = 5*l, 3*x = 2*l + 1 - 4. Suppose 0 = 5*c - 3*b - 7, 5*b = 2*b + l. Solve -3*v = -2*v - c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 15316325062.\nAnswer: 15316325061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309510?\nAnswer: 2, 3, 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1587711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36380)\/(-70) + (-4)\/(-14).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -101. What is the smallest value in 2\/11, 1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3\/2 + 3*f**2\/4 + 3*f\/4 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 10:02 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 414464337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(14)\/(sqrt(1008) + sqrt(1008)*-1 - sqrt(7)) + -5).\nAnswer: -15 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -3*j + 2*d, 2*j + 4*d + 108 = 4*j. Let h = 14 + -29. Let k = h + j. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4729 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 212 (b) -4 (c) 10 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/(14\/28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 36 = 16. Let y = 17.9 - 19. Let o = 1 + y. Put 3\/5, n, o in ascending order.\nAnswer: n, o, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -15 + 9. What is the remainder when 10 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let i be -42*(12\/(-7))\/2. Let k(g) = -36 + i - 8*g. Calculate f(k(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 8*b + 267 - 169 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:21 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32793, 131189, 295183, 524775, 819965?\n\"Answer: 32799*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 8056*s + 130.\nAnswer: 8056*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734568.\nAnswer: 2, 11, 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 257118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - s**3 - 2 - 2*s + (-3 + 0 + 1)*(-5*s**3 - s**3 + 2*s**3) - 2*s**3 + 0*s**3 + s**3 + 6*s - 6*s - 3*s**3.\nAnswer: 3*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 8*p**2 - 11*p - 6. Let q be i(-9). Suppose 4*n + q = -0*n, w - 5*n - 21 = 0. Suppose -c + w + 3 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9202 and 3827?\nAnswer: 818978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 41*m + 25*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 579090.3cm?\nAnswer: 5790903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**3 - 2*s**3 - s**3)*(2 - 5 + 1) + 3*s**3 + 0*s**3 - 2*s**3 + 86*s**3 + 3*s**3 - 17*s**3.\nAnswer: 63*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 1748956305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15346662 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4455*k**3*x - 2*k**3 - 118*k**2 - 1766970*x wrt k.\nAnswer: -13365*k**2*x - 6*k**2 - 236*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.7606 to one dp.\nAnswer: 152.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 0, 20 in increasing order.\nAnswer: 0, 2, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -886450 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823 + -439?\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46432 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*w = 10, f - 20 = 3*f + 4*w. Let c be 1*-2 - f - -11. Suppose y - c = 5. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and -1.5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(6\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/10 + -1)\/((-18)\/27). Find p, given that g - 3\/5*p**2 + 0*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -5, 15, 0.204, -3 in descending order.\nAnswer: 15, 0.204, 2\/17, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33 + 100 + 5*z**2 - 11*z - 94*z + 25*z + 128.\nAnswer: 5*(z - 13)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*q = -225, -3*x = -12*q + 11*q - 131. Calculate the least common multiple of x and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (254\/(-762))\/((-13)\/(-15) + -1). Let x be (6\/(-34))\/(6\/4). What is the second smallest value in -2, f, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -7681481?\nAnswer: 7681474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153003?\nAnswer: 67, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9840, -9802, -9742, -9660?\n\"Answer: 11*a**2 + 5*a - 9856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4363\/279 - -139\/9. Let b = 20 - 20. Let x = 0 + b. Is w at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 + -479. Let n(s) = 30*s**2 + 5*s. Let y(w) = -45*w**2 - 7*w. What is p*y(x) - 7*n(x)?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 208626797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 23\/2. Let k = 0.2 - 0.18. Let q = k + -0.42. Sort q, -3, z in decreasing order.\nAnswer: z, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*j + 4*z, -13299*z + 13293*z = -4*j - 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 14\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*s - 65*s - 145*s**2 + 141*s to q*s**2 + i + k*s and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18764 - 0.1876411153. What is c rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112335*i**2 + 48978070*i - 4360.\nAnswer: -5*(i - 436)*(22467*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50586565 divided by -2.\nAnswer: 50586565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 - 20*s**2 - 6 + 2*s to the form y*s**2 + d + v*s and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-40))\/((-18)\/(-18)*51\/15)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + (-16)\/(-3). Let u = d - 0. Suppose 104 = 5*s - u. Solve 0*v = 3*v + 3*f + 9, s = -4*v + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(7) + sqrt(7) + -1 + 1 + (-4 + -1 + sqrt(7) - -5*sqrt(14)\/sqrt(2))**2 + -2.\nAnswer: -58*sqrt(7) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -14. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -22*t + 42*t - 21*t. Let l(q) = -10*q**3 + q**2 - q - 1. Let u be l(-1). Let p(z) = 16 + u - 2*z - 34 + 12. Calculate c(p(o)).\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(3\/18). Suppose 6*p - r*p = 0. Solve 2*t - 8 = -2*d, 19 = -p*t + 5*t + 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000229664811 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*n**2\/2 + 13107*n\/2 + 1125 = 0. What is n?\nAnswer: -6\/35, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 2.2, 3\/7, 0.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**3\/7 + 11615034*t**2\/7 - 5621237988354*t\/7 + 28105899566670\/7.\nAnswer: -6*(t - 967917)**2*(t - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 461, -2, 3, -1\/12, -4, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -171480 rounded to the nearest 1000?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1039431 and 36411?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacaaalazaazzzzz. Give prob of picking 1 c, 1 z, and 1 l.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*q - 29 - 3, -2*l + q - 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 253060 (base 10) to base 8\nAnswer: 756204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3 + (-2431)\/(-119))*7\/2 and 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 40643582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-324)\/(-729)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 161391770?\nAnswer: 161391770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 2*b - 40*b**3 - 17*b**3 + 2*b**2 + 5*b**3 to u*b + n + z*b**2 + w*b**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -n + 9531, -5*f = -2*n - 6*f + 19053. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -16 - 32) + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103126 rounded to 7 decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) -16.1 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1151\/5 + 230. Let s = -417 - -430. Sort -1\/4, s, t in increasing order.\nAnswer: -1\/4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 + 7)*(4 - ((-4750)\/15)\/(-5)). Calculate the greatest common divisor of 4450 and m.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1648330 or 3296661\/2?\nAnswer: 3296661\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 13. Let l(v) = -v - 3. Let t(c) = 6*b(c) + 26*l(c). Let h be 2\/2*(0 - -1). Let z(d) = 1 - 2*d - h. Calculate z(t(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45863\/15915 - -16\/1061. Suppose -3*l = -7*l - 40. Calculate the common denominator of g and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - h = 13032, -h = 182*z - 187*z + 8142. Calculate the highest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5485857 rounded to 2 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 405 = -409 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - (-24)\/9. Factor 2*v**2 - 4*v**2 + 0*v**k.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 358160*l = -358154*l + 91, 0 = 5*g - l + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 24 + 143*b**2 - 45 - 139*b**2 + 7.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139803 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w)\/(w\/w**(3\/17)*w)*w**(-2\/49)\/(w\/w**(-1)) assuming w is positive.\nAnswer: w**(-7384\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/7 + 522*d\/7 + 520\/7 = 0.\nAnswer: -260, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1710, 3615, 5674, 7893, 10278, 12835, 15570?\nAnswer: 18489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 11\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116028 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*w + 18 = 0, 4*r - 2*w + 0*w - 4 = 0. Suppose z - 15 = -r*z. Let f be -3 - 5\/(z\/(-13)). Which is bigger: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(2\/9))\/(x\/(x\/(x*x\/x**(-7)))))**(19\/4) assuming x is positive.\nAnswer: x**(-1235\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -141450*k - 1968. Let z(n) = 718*n + 10. What is 5*x(v) + 984*z(v)?\nAnswer: -738*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3002822.\nAnswer: 2, 1501411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2145)*-568 + 44\/220 - 6\/(-26)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/11 - 1222*n\/11 = 0?\nAnswer: -611, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*i = 3*u - 78, -5*u + 49*i + 88 = 48*i for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.182, -0.46, 0.1, -1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3, 37*h - 32*h + d + 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n - 2*b, 5*n + 0*n + 5 = 5*b. Let c(h) = h**2 + h + 5. Determine c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 10 + 34 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.97 - -0.03. What is the closest to 32 in g, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -405.5 and -45.\nAnswer: 18247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 1, n: 5}. Give prob of picking 2 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwefhwtwwhftwhetv. Give prob of picking 1 h, 1 f, and 1 e.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231940485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.2 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (225\/(-33) - -7) + (-912322)\/22. Let w = h + 4312837\/104. Find the common denominator of 99\/14 and w.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373186.9 milligrams in tonnes?\nAnswer: 0.0003731869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b - 6. Let c(v) = v**2 + 13*v + 7. Let y(o) = -5*c(o) - 6*r(o). Let w(n) be the first derivative of y(n). Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(((-24)\/6)\/(-2)*20\/(-1920)*-4)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2293 not equal to -2449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 9, -1 in ascending order.\nAnswer: -6, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a + a - 25*a**2 + 24*a**3 + 164*a**2.\nAnswer: 24*a**3 + 139*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3813657 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1870510 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12270*c - 11601*c + 22454*c + 5*c - c - 3*c + 2*c + c - 2*c + (-4*c + 2*c + 3*c)*(-5 + 1 + 5) + (3 + c - 3)*(2 + 3 - 4).\nAnswer: -1413*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -14*g**2 - 10*g**3 - 1 - 20*g + 15*g + 4*g**2 - 5*g**4 - g**5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*v + 9. Let i = 36 - v. Suppose 4 = -g + i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-15\/2)\/n))**(-37)*(n*n**12)**(-1\/42) assuming n is positive.\nAnswer: n**(-7388\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 16265812\nAnswer: -16265813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5413*a*d**2 + 1021*a*d + a wrt d?\nAnswer: 10826*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = n. Suppose 0 = 2*q - n*w - 58 - 20, -211 = -5*q - 3*w. Suppose -q - 27 = -m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -134. Solve 0 = -d - 1 + r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.009 - 2.109. Let q = k - -2.1000188. Round q to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.4. Let c = 2041 + -8165\/4. Let u be 34\/(-30) - (-9 - -8). What is the third biggest value in u, c, m, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from {r: 1, c: 1, q: 1, f: 5, s: 1, t: 3}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8933, 16678, 24423, 32168, 39913?\nAnswer: 47658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -19*b**2\/2 - 112*b + 3674. Give t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 282088107 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6656 (base 9) in base 7?\nAnswer: 20214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 - -0.06. Let i = 36.14 - 36.342. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 10000?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988191395.\nAnswer: 3, 5, 17, 152879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(55 + -50 - (0 - 66\/(-15))). Solve 3*z + 4*m = -13 + 18, -i*m = -2*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**2 - 14*o**2 + 3*o**2 + 2*o + 38 + 0*o**2 - 37 in the form m + c*o**2 + r*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4390, -35134, -118592, -281122, -549082?\nAnswer: -948830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1032640.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6978*h**3*k**2 + 1451*h**3*k + 24*h*k**2 + 167*h*k wrt k?\nAnswer: 13956*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 4*j**2 - 2*j**2 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/210 and 95\/48.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 118092480 rounded to the nearest one hundred thousand?\nAnswer: 118100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-7))\/(((-234)\/(-9))\/(-78))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 149, 147, 145, 143, 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + p + 39 = 0, -39 = 45*g - 41*g + 2*p - p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*0.0956.\nAnswer: -8.8908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 112\/657, -0.3 in decreasing order.\nAnswer: 4, 112\/657, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1770682 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (225\/(-125))\/(1\/10*-6). Calculate the highest common factor of a and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33531807871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 5*b + 4. Let y = 153 + -94. Suppose 23 = -4*h + y. Let c be i(h). Calculate the highest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 153*i - 42382. Determine t(269).\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3270 and 15369?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1100)\/7150 + (-63)\/13. What is the second smallest value in 2, -2, 70, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -0*b. Suppose -4*x + 3*g - 5*g = 0, -x - 2*g = 0. Suppose 2*h = b - x. What is the greatest common divisor of 18 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 2 l when four letters picked without replacement from uhlztulx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) - 1*sqrt(396))**2 - ((sqrt(176))**2 + -2))*4*1.\nAnswer: -1796 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 equal to 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -39*m**2 - 455*m - 662. Calculate c(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 217*w - 30*w + 90*w.\nAnswer: 269*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 - 62 + 64)*(-2*j - 3*j + 6*j) - 2*j - j + 2*j.\nAnswer: 158*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 - 7*h**3 + h**3 + (3*h + 2*h**2 - 3*h)*(-6 + 9 - 37*h - 4) in the form b*h + x*h**3 + z*h**2 + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by -1?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -p, -4*p + 3 = -5*v - 2*p. Let k(x) be the first derivative of -x**2\/2 + 15. Let o(z) = -3*z + 3. What is v*o(l) + 5*k(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 + 0 = 0. Solve -3*n + 5 = -2*o, -3*o - b*n + 54 = 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, t: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, v: 2, n: 5}. What is prob of sequence vnv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7487459 is divided by 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*n + 18*n - 21. Let m(g) = 7*g + 11. Let w be m(n). Sort 2, w, -3 in descending order.\nAnswer: w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-16))\/q*q)**(-2\/11))**(3\/2))**(-16) assuming q is positive.\nAnswer: q**(-720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -213, -924, -2143, -3876, -6129, -8908?\n\"Answer: -q**3 - 248*q**2 + 40*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34364, -137800, -310194, -551546, -861856?\n\"Answer: -34479*s**2 + s + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175461327 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 1033876*p - 267224895844 = 0. What is p?\nAnswer: -516938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 18*k**2 - 2*k + 11. Calculate w(-8).\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k. Let g(o) be the second derivative of 3*o**3\/2 - 6*o. Give 5*g(c) + 6*m(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 3*l**2 + l. Let p be g(0). Solve 68*u - 74*u - 36 = p for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 3, 8695, 37 in decreasing order.\nAnswer: 8695, 37, 3, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -1207, -1803, -2385, -2947?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -2481\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvjsjsvjss. Give prob of sequence svss.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -4. Suppose -3*l - 11*r = -16*r - 10, -3*l - 2*r + 17 = 0. Suppose 5*i + l*v - 1035 = 0, -2*i + z*v + 418 = 6*v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from uoelotooolot.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 28 + 5*v**2 - 14*v + 9*v**2 - 13*v**2. Let r be n(15). Suppose -2*k + r = 9. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 34120000 = -11*n. Round n to the nearest 100000.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 28 + 71 - 104 + 6*k + 7.\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 7*v**3\/3 - 19*v**2\/2 - 1202*v + 620. Differentiate a(x) wrt x.\nAnswer: 14*x - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + p**2 - p + 1. Let q be l(1). Let u(j) = -j - 4. Let i be u(-6). Let o be 3\/((-3)\/i) - -8. Calculate the greatest common divisor of o and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44508554 rounded to 4 decimal places?\nAnswer: -0.4451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/(-2)*1. Let i = -50 + 47. Which is the nearest to 2\/3? (a) -1\/2 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:22 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(728\/10) + ((-28)\/91)\/2. Which is the closest to 1? (a) -1\/7 (b) j (c) 133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6768.223 + 6754.2230005. Let z = 14 + y. What is z rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 0 + (2\/16)\/((-11844)\/27072)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 105. Suppose 10 + 10 = 5*y - z, -3*y + z = -10. Put -5, 2, t, y in ascending order.\nAnswer: -5, t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(125)*1.\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + (0 - 1) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 13*q - 25. Let y be b(-10). Solve 0*t = -3*t - p - 11, -y*t - 20 = 2*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101010011 + -101?\nAnswer: 111101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75\/109 - -140412\/763. Let l = f - 185. Sort l, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b8 - -2e51?\nAnswer: 3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 34235.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198232.1492 - -197781. Let o = 451 + m. Round o to three dps.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26570.19l in millilitres?\nAnswer: 26570190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*x - 4, 0*b - 3*b = -4*x + 1. Suppose x*u = -5*n + 84, -u = -3*n + 6*n - 28. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*-2*(-1)\/(-2). Suppose 0*y + 2*y = -3*u + 78, -4*y = -q*u - 178. Suppose -2*h - 4*r = -y, -3*h + 3*r = -h - 77. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3168*c*g*k - 3*c*g + 20*c - g*k + 93*g + 3920*k + 159 wrt g?\nAnswer: 3168*c*k - 3*c - k + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 * 861432.\nAnswer: -31011.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2\/3. Does y = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 4*c = 7*j + 76, j = -4*c + 31. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(720) + -1)*-4 - (3 + -2*sqrt(720))) + -1)**2 + -2.\nAnswer: -8642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 12*j - 31. Determine w(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 41*r = -5*h + 39231, -5*h + 39252 = 4*r. What are the prime factors of h?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 316.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)\/(g\/(g\/(g**(-3\/2)\/g))))\/((g\/g**1)\/g*g**(-1\/3)*g))\/(g**(1\/4)*g**(-7)*g**5*g\/(g**2\/g)) assuming g is positive.\nAnswer: g**(299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 5*n, 0 = -2*v + n - 3*n - 20. Let b be ((-2)\/8)\/(v\/40). Suppose -b*l + 1 = -l. Put l, 3, 2 in increasing order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(72)*-2 + sqrt(72))*3)\/(sqrt(36)*-5 - -2*sqrt(9)*-2)*-1)**2.\nAnswer: 648\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000332 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1856 in increasing order.\nAnswer: -1856, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-15))\/(6\/(-9)))\/((-388)\/970).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15487 + -61953\/4. Let d be (-3)\/10*(-20)\/(-45). What is the nearest to 6 in z, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + l**3 + 3*l**3 - 2*l**3 + 4 - 4 + (8*l + 19*l - 6*l)*(5*l**2 - 4*l**2 - 2*l**2) in the form o + f*l + k*l**2 + t*l**3 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-244)\/(-1281))\/(3\/((-21)\/(-2)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-2 + -5)**2 - 6*sqrt(304)*-1) + (-1 + sqrt(304) + -4)**2 + sqrt(304) + 4.\nAnswer: 68*sqrt(19) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102) - (sqrt(102) - sqrt(102)*-1)) + sqrt(102))\/(-2*(sqrt(150) + sqrt(6)) + sqrt(6)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8281\/8998 - 14\/409. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/5)\/d)\/(d*d*d*d\/(d\/(d**2*d))))\/(d\/(d**1\/d*d)*d**2))**(-7\/5) assuming d is positive.\nAnswer: d**(343\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 15. Let o = -9 - -29. Let m = -19 + o. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -485.\nAnswer: 7\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a3 + -27?\nAnswer: -9ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13671431 is divided by 3689?\nAnswer: 3686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8840 and 13328.\nAnswer: 866320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n + 1. Let d be (6\/(-18))\/(160\/(-156) + 1). Let s(j) = 2*j - 9 + 6*j**3 + 3*j - 5 + d. Let o(u) = -7*u**3 - 6*u + 1. What is n*o(w) + 6*s(w)?\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59 and 57595.\nAnswer: 3398105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:57 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + 0*w**3)*(-5 + 5 + 2*w) - 5*w**4 + 4*w**4 + 0*w**4 - 7*w**4 + 7*w**4 + 14*w**4.\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4 - 7) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.2 and -624.33.\nAnswer: -608.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 2465*w\/3.\nAnswer: w*(w + 4930)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsslfflf. What is prob of picking 2 f and 1 s?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 2. Let v = 9 + -4. Suppose 21 = -12*r + v*r. Calculate m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-3 + 8\/3). Suppose q = -6*y + y - 225. What is the units digit of 423\/45 + 3*6\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 5) to base 10\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:49 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 118\/(-24) - (9 - 14)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311395490, -622790981, -934186472, -1245581963, -1556977454, -1868372945?\nAnswer: -2179768436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1319418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87859304\/12 - 2\/(-6). Let t = -13852482669\/1892 + d. Let k = -1\/172 + t. Calculate the common denominator of k and -64\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 241, 479, 719, 961, 1205?\n\"Answer: q**2 + 235*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a factor of 59869332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 2*q. Let m be u(-2). Suppose -g + 5*l + 1 = -m, l = -4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 25. Sort s, 6, -2 in decreasing order.\nAnswer: 6, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163*s - 4 + 10*s**2 + 163*s)*(-3 + 0 + 1)*(s + 5*s - s) to c*s**2 + i*s + n + p*s**3 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 116, 465, 1062, 1913, 3024, 4401, 6050?\n\"Answer: y**3 + 118*y**2 - 12*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200 divided by -3.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 19*r - 295, -5*r + 57 = -3*k - 6 + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 1 + 35. Let l be (6\/(-4))\/(x\/24). Let h be (-5)\/(-2) - l\/8. Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 74\/(-26) - (-141)\/156. What is the nearest to -3 in -3\/5, o, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/258 and -115\/516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/(-30)*-6 + -11. Let a(p) = -3*p - 18. Let z be a(u). Which is greater: z or -9\/16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goaozzzookgazoooa. Give prob of picking 2 o.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 42*w - 58. Is 87 a factor of u(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-31156144.\nAnswer: 31156144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 1013812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*x + 916, 27*r - 223 = x + 24*r. Does -231 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -5*l**3\/2 + 95*l**2\/2 - 3*l - 5. Is 29 a factor of u(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/5 - 5494*s**3\/5 + 7836853*s**2\/5 - 798948468*s\/5 + 21147558084\/5 = 0.\nAnswer: 54, 2693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 30 - 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3308 + -0.3308. What is the nearest to 0 in m, 0.05, -0.07, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 + 11*z**5\/60 - z**4\/2 + 13*z**3\/6 + 5*z**2. Is v(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*q + 5*q. Is (q + 0 + -2)*4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1639 - -1642. Solve b = -2*w + 46 - 39, -j*b - 2*w + 9 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 20*w - 10 + 1 - 1 + 2*w + (5*w - 5*w + w)*(-4 - 3 + 6) as r*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let a(i) = -3*i - h*i**2 + i**2 + 3*i**2 + 2. What are the prime factors of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27934*2.9.\nAnswer: -81008.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*71453.\nAnswer: -6502223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-70))\/((-10)\/7).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6*b + 4. Let o be g(4). Let r be (-2)\/(-12) + o\/16. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/228 - (-6670)\/4959*3)*(-1)\/268?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7908566 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0 - 2*m**3 - 1\/6*m**4 - 9*m**2 + 2*m. Factor p(g).\nAnswer: -2*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.1 (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 - 5*a**4 + 2*a**4)*(43*a + 7 - 19*a - 23*a).\nAnswer: 2*a**5 + 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -314.57176 - 190.43302. Let b = t - -505. Round b to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-196)*(-581)\/(-83).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 3)*((-k + 0 + 0)*(1 - 1 + 1) - 2*k - 4 + 4 - 3*k + 29 - 29)*(-3974 + 3974 + 228*k) to the form u*k + t*k**2 + s and give t.\nAnswer: 5472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 - x - 2. Let d be y(4). Let a be (-4)\/d + -4 + (-1152)\/(-30). Suppose s - a = 13. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -19*b - 3. Let l(r) = 6*r + 1. Let o(f) = a(f) + 3*l(f). Let m(i) be the third derivative of i**3\/6 + i**2. Suppose 5*j = 7 - 2. Give j*o(d) - m(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 26) + -13 + (-39 - -52).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*f**2 + 6*f - 99\/4.\nAnswer: 3*(f - 3)*(f + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321074, -642151, -963230, -1284311, -1605394?\nAnswer: -1926479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzxzlzdz. What is prob of sequence dd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153562249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 - -3 - (-7 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.2127ml to litres.\nAnswer: 0.0332127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - t = -1 + 46, -4*m = 4*t - 60. Let w be (-18)\/(-8) - 3\/m. Let u(s) = 102*s - 60*s - 50*s + 1. What is u(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(1\/2 + 1). Let z = 6 - p. Solve -z*r - 13 = -3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9359 and 0.02.\nAnswer: -0.038718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1838850 and 16\/14145.\nAnswer: 1838850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 8) in base 7?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*z**3 + 8\/5*z**2 + 0 - 12\/5*z.\nAnswer: 4*z*(z - 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 10*o**2 - 3*o + 101. Give j(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u = 5*u. Suppose -4*z = -5*y - 9*z + 50, 35 = 2*y + 5*z. Solve u*r - r = -y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - f = 16, -2 = -3*t - 2*f + 2. Suppose -t = -s - 2. What is the third derivative of -3*h**2 - 2*h**3 + 5*h**s + 3*h**3 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -2200?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuyyusys. Give prob of sequence ys.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 10 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 21*q + 21. Let z be (-1 - -4)\/((-1)\/(-15)*9). Let f(k) = 6*k + 6. Determine z*l(c) - 18*f(c).\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231249325 divided by -5.\nAnswer: 46249865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81621301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-78)\/(-12) - (-3)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -14. Let b be (-2)\/3*2*v. Solve -b*f + f = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 14*f - 17. Let z be q(-13). Let i be ((-3)\/8)\/(z\/(-336)). Let l = -31 - i. Which is the second smallest value? (a) l (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260780\/33 - -7903. What is the common denominator of 8\/864*-4*52 and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + 7*r**3\/6 - 4*r**2 - r - 28. Let o be (-1 - 0)\/(1\/(-6)). What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004357557 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47374 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30659 and 0.4.\nAnswer: -30658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552229?\nAnswer: 41, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -185215 divided by -2?\nAnswer: 185215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*z + 103 = 17, -5*z = 10. Which is smaller: d or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) 0.1 (c) -0.078 (d) 257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -103*p - 19916. Give g(-194).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1307, -1706, -2105, -2504, -2903?\n\"Answer: -399*w - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 40. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2131?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 451, -1, 0, 1344, 4 in decreasing order.\nAnswer: 1344, 451, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j**5 + 303*j**4\/5 - 678*j**3\/5 - 804*j**2\/5 + 168*j\/5 + 96\/5 = 0.\nAnswer: -4, -1, -2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 27 + 1672*g + 1947*g.\nAnswer: 3619*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2*x**3 - 1 + 1) + 2*x**2 - 2*x**2 + 2*x**3 + 0*x**3 + 2*x**3 + 0*x**3 + 2*x**3 + 4*x**3 - 2*x**3 + 11*x - 11*x + 7*x**3 - x**3 + 1 - 1.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2. Let d(y) be the first derivative of -1 - 1\/3*y**3 + 0*y + 0*y**2. What is x(d(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.09 (c) -5.1 (d) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14805*j*k**3*v - 2*j*k*v - j*k + 887*j + 9*k**3*v + 2*k**2 wrt k.\nAnswer: 88830*j*v + 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k + 107. Let z be j(-7). Put z, 0, -4\/3 in ascending order.\nAnswer: -4\/3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 2*k)*(-3 + 4 - 4)*(7488*k**2 + 1783*k**3 - 7488*k**2 - 358*k**3).\nAnswer: 8550*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 h when three letters picked without replacement from gpibhwibbwbp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 10 = -11*b. Let n be (b - (-537)\/(-6))*(67995 + 5). What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(2\/3))\/x)\/((x\/(x\/x**(1\/10))*x)\/x))\/(x**(1\/3))**(3\/5))**(-28) assuming x is positive.\nAnswer: x**(406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 2*w - 8, 3*b = 4*w + 16. Is 79\/(0 - -1 - b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 e when four letters picked without replacement from {q: 1, z: 1, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 8*m**4 + 2*m**4)*(1 + 2*m - 1) - 2*m**5 + 0*m**2 + 0*m**2.\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 4*n = y*n. What is the smallest value in 0.6, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 160 = -180, 2*n - 107*s = -219*s + 115*s + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1174067 * -18.\nAnswer: 21133206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 26\/2 - 18\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -58*z + 1\/6*z**3 + 3\/4*z**2 + 1\/72*z**4 + 0. Let g(h) = 0. Calculate h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -50. What is the remainder when 215 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/26 - 52\/(-338).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + 3*-1*sqrt(567) + sqrt(567) + (((sqrt(105)*1 - sqrt(105)) + sqrt(105) + sqrt(105))\/sqrt(5))\/(sqrt(36)\/(sqrt(12) + sqrt(12)*-2)))**2.\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1542278*x - 2377835?\nAnswer: 1542278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 43739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p**2)\/(p*p\/(p*p**2*p))**(-8\/11))\/(p**(-7\/3)*p*p\/p**(-7))**32 assuming p is positive.\nAnswer: p**(-6923\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039727833 rounded to four dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -126, -187, -250, -315, -382?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o + o)*(-3*o**2 + o**2 + 0*o**2) - 3*o**4 + o**4 + 0*o**4 - 2*o**2.\nAnswer: -8*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -97. Is 19630\/u - (-6)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:48 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**3 + 152*q**3 - 117*q**3 + 111*q**3 + 428*q**3 + 456*q**3.\nAnswer: 943*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17220510303726*x**2 - 17220510303726*x**2 + 6*x**3 - 3.\nAnswer: 6*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -593\/8 + 74. What is the second biggest value in d, -3, 0.5, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 2*r**2 - 1\/2*r**3 + 0 - r. List the prime factors of n(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -346*o*y**3 - 3*o*y**2 - 7*o wrt y?\nAnswer: -2076*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (3 - 6 - -4). Let g(v) = -2*v - 4*v - v + 6*v - t. Let k be g(-6). Which is bigger: k or -1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*t + 1 + 50*t - 4*t**3 + 51*t to w*t**2 + a*t**3 + d*t + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3123 is divided by 1402?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(78)\/(sqrt(3)*-1) + sqrt(416)*1)\/((sqrt(80)\/sqrt(5))\/sqrt(8)*3)*-6.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 812 and 52171.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 32\/12. Let n(d) = 3*d - 4*d + s*d. Let p(v) = -3*v. Determine p(n(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 27. Let k be (14\/6 - 2)*1. What is the closest to k in 1\/4, 1, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0 + 8\/3*s**3 + 4\/9*s + 28\/9*s**2 = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117*l + 3*l - 95*l)*(-8 - 10 - 11 + 23 + 38*l) in the form k + w*l**2 + s*l and give s.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(288)*-2 + -1)**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47616 < 47617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/(-21)*259\/1036)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {r: 1, s: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 17 + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3)\/(-4) + 2 + 3. Suppose -i*q = 10, 4*q = -k - 0*k + 18. Find the third derivative of k*b**3 - 10*b**3 + 6*b**2 + 14*b**3 wrt b.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**3*(f\/(f*(f\/f**(-1\/21))\/f))\/(f*f*f\/f**(19\/4)*f*f) assuming f is positive.\nAnswer: f**(479\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-23*(-31)\/14260)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 946.47 + -962. Let f = q + 13.5. Let d = 0.03 + f. Which is greater: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954, 955, 956?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1107\/6)\/((-1)\/(-2)). Let r be 0 - (6\/c + 0). Let g = -33401 + 33401. Which is bigger: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1952 divided by 61?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29 = -z, -28 - 33 = -2*m + 5*z. Suppose 2*c + 2*c - 3*u - m = 0, 2*u = -c - 4. Solve 2 = c*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15358 (base 13) to base 16.\nAnswer: 9cbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 8. Let w be t(-4). Let k be -1 - 1 - 1 - 3. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-7 - 2) - 22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 14) to base 3\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22 + 13)*(-6)\/12*2\/3. Solve -s + 23 = 4*d, -x*d - 2*s + 22 - 1 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-7)\/(-42))\/((-6)\/27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(((i*i**(-1))\/i)\/i*i))*i*i)**40*(i**0)**9 assuming i is positive.\nAnswer: i**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58840 = 44*y + 58532 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (11\/4)\/((-1)\/(-6 - 2)) and 252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -199\/5?\nAnswer: -199\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = x + 5, -16 = 3*o + o + 4*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7833*s**3 + 26*s - 130 wrt s.\nAnswer: 46998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-52)\/(-10))*(-190)\/76. Solve 4*h - 12 - k = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-9)*(1 - -2). Let l be 1\/t + 16\/5. Calculate the lowest common multiple of -10*(l - 5) + 0 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7761739309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.7148 nanograms to grams.\nAnswer: 0.0000003417148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13))**(1\/39))**(-29)*((j\/(j*j**(-7)))\/(j\/(j\/(j\/j**2)*j)))\/((j\/(j\/(j**7*j)*j))\/(j\/(j*j\/(j*(j\/j**7*j*j)\/j)))) assuming j is positive.\nAnswer: j**(-1463\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 837.814 years?\nAnswer: 8.37814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-23684)\/(-17763)*(0 - (-126)\/(-4))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 48091?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22463948 > -22463944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8948 divide 289452757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3192 and 3344?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f + 8. Let d be z(9). Suppose 0 = -2*l - 3*o + 177 - d, 4*l - 5*o - 327 = 0. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let m = 9 - x. Suppose -3*l = 2*l + y - m, 2*l = 5*y + 19. Solve r + l = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 4. Let u be k(0). Suppose -4 = -u*p - 0. List the prime factors of ((-5)\/(-10))\/(p\/106).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(1300) - sqrt(1300)*-2 - sqrt(13))**2 - ((-5*sqrt(117))\/sqrt(9) - sqrt(13)).\nAnswer: 7*sqrt(13) + 10933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n + 2*n - 4*n + 2*n - 8*n**2 wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -1 - 10\/5. Let i = 4302 + -2532. Suppose -2*d - 4*q + i = 0, -l*q + 4451 = 5*d - 7*q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2308527566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15474576 is divided by 2579096.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 + 9*o**4 - 12*o**2.\nAnswer: -3*o**2*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 3*j. Let l = 4 + -8. Let p be d(l). Which is the nearest to 1? (a) 2\/15 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233222 - -2?\nAnswer: 233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/(g*g*g\/(g*g**2)))\/(g**(-1)*g*g**(-1\/4)*g*g)*(g**6*g**(1\/3))\/(g**(1\/2)\/(g**(-1\/4)*g)) assuming g is positive.\nAnswer: g**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1 + 13 = -5*z, 2*g - 4 = 2*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 = -104*s - 765 + 2133 - 382 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014660 (base 7) to base 4.\nAnswer: 131232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -16, 6, 36?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000100602387 to seven decimal places.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5239*m**5 + 17*m**2 + 23*m - 5 wrt m?\nAnswer: -314340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let k(b) be the first derivative of -640*b**3 - 11731. Give k(c(x)).\nAnswer: -7680*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from xvjjvjjvbgv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -13*h**6\/30 - 7*h**4\/6 + 7*h. What is the third derivative of r(b) wrt b?\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 16. Let r = 18 + h. Let k = -34.4 + r. What is k rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (35 + (-17 - 12) + 13 - 24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 3*f**2 + 221*f - 116*f - 112*f to the form u*f + g*f**2 + j and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*d + 377*d + 381*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 8) + 8*959\/840)*-1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*l + 25 = 0, -2*y + 3*y = 2*l + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000223888 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - 19158689.\nAnswer: -19158766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - t - 51 = 0, -1301*t - 2 = -1299*t. Put q, 5, -4, -5, 7 in descending order.\nAnswer: 7, 5, -4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*x + 12 - 27*x - 4 + x**3 in the form z*x**3 + l*x**2 + j*x + a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - 12 - (-156)\/(-27). Which is the third biggest value? (a) x (b) -0.2 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/(-6)*(-18)\/4. Let t = -29 + q. Let a = 13 - t. Solve a = z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, 4, -16?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 2, 0.14 in decreasing order.\nAnswer: 3, 2, 0.14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043861617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -586*p + 6434. What is l(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -1\/4*y**5 + 0*y**2 - 25*y**3 - 5*y**4 + 0 + 0*y = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrppffrpp. What is prob of picking 1 r and 3 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/10*(-228)\/(-28215)*44.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3352803017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.219 + 0.009. Let q = s + -0.09. Which is the third biggest value? (a) -5 (b) 4\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2071097524 to the nearest integer?\nAnswer: 45509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6870 = -74*c + 11482. Calculate the highest common divisor of c and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/5 + 43029*b\/5 - 4694520 = 0?\nAnswer: 568, 13775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1009, 1890, 2659, 3322, 3885?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 85492682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40766 - -85466. Round w to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 42, -667.\nAnswer: -667, -1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2150 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(35)\/sqrt(5)*2)**2*2 + (-4*sqrt(112) - (sqrt(7) - (sqrt(1008) + 0)))*3.\nAnswer: -15*sqrt(7) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g - 3 + 2 + 1 as k + n*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 - (3 - -8) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2217462908 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/6 + 3*f**2\/2 - 10*f. What are the prime factors of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 77 - 3 - 2*l + 152.\nAnswer: -2*l + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47150 and 8828550.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -314, -628, -942, -1256, -1570?\n\"Answer: -314*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a, 5*x - 5*a + 0*a = 530. Calculate the highest common divisor of 78 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:55 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -18\/5 (c) 2 (d) 81893\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 44*h - 72. What is j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/(20\/12). Let g be (-3)\/(-2) + 1\/(-2). Let o = 0 - 4. What is the biggest value in g, b, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:18 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - -5 - 5 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/(-15))*24\/(-40)*(-250)\/(-39750).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -114*g. Let n(y) = -3*y**2 + 3*y**2 - 3*y**2 + y**2. Calculate n(d(q)).\nAnswer: -25992*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3918515*q**3 + 4*q**2 + 1772*q + 7064. Let r be m(-4). What is r rounded to the nearest 1000000?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1992 - -1859.3. What is v rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.055 + -0.0332. Round n to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2)*(-3)\/30. Let k be (-1)\/(-12) + (-2)\/8. Let d = -9.7 - -7.7. Which is the smallest value? (a) d (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.092 + 0.092. Let d = -39.1 - f. Let l = d + 2.27. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 3. Let p(f) = 3*f**2 + f - 8. Let u(c) = -8*o(c) - 3*p(c). What is the second derivative of u(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/(-1575)*5\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 814332 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10768229\/1365 - -55227\/7. Let u = -6\/65 + n. Which is the second smallest value? (a) 3 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let t(g) = -4*g + 1. Determine 2*k(r) - t(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 18*p**3 + 12*p**2 + 29*p + 37. Is c(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:03 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18314 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allllaa. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/6 - 10*f**2\/3 + 103*f\/6 - 14 = 0. What is f?\nAnswer: 1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:33 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 191. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3105 in -2, 0.06, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 28*q - 84*q + 26*q + 21*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*w + 8*w - 4*w**2 + 0*w - w**2 - 2*w + 2*w + 10*w - 10*w - 5*w**2 + (-w + w + w)*(-4*w + w + 2*w).\nAnswer: -11*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7888)\/1152 + (-110)\/(-495) + 7.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 - 3*j + 0*j**2 + 5*j**2 + (3 - 3 - j)*(-2*j + 0 + 0) - 3*j**2 - 3*j**2 + 5*j**2 + 2*j**2 - 1 + 1 - j**2 + 3*j**2 - 4*j**2.\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:10 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -456\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y - 4 = 0. Suppose -4*r - d = -303, 7*d - 360 = -5*r + y*d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 14) to base 10\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h - 5*h**2 - 41*h**3 + 44*h**3 - 4*h**3 + 4. Let w(i) = -i**2 + 1. Determine -g(a) + 5*w(a).\nAnswer: 2*a**3 - 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**3 - 5*z + 7. Let k(l) = -l**3 - 1. Let a be -3*(2 - 15\/9)\/(-27 - -28). Give a*m(t) - 6*k(t).\nAnswer: -2*t**3 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((24 - (-24 - -25)) + -53)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -100002?\nAnswer: 22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -4) + -31 + 38\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149905140 and 11360.\nAnswer: 1199241120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739514223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0*j = 4*j - 85, -2*p + 39*j = 9*j + 67 - 33 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3260, 2506, 1736, 944, 124, -730?\n\"Answer: -l**3 - 2*l**2 - 741*l + 4004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, h: 5, m: 2}. Give prob of sequence uh.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2992976355 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 0)*(2*s - 2*s + 3*s) + 0*s - 2*s + 0*s)*(2 - 5 + 4) in the form d*s + y and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 613219409 to the power of 1\/2, to the nearest integer?\nAnswer: 24763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.34 - -0.34. What is the third smallest value in 0.1, r, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3544756040 rounded to the nearest one million?\nAnswer: -3545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812465647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 14) to base 15.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (10 - 3) + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*p - 26, 2*g - 23 = 3*p + 1. Let j = 3 + g. Suppose -j = -2*b - 1. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:00 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2) + 273 + -301?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 503558 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k - 8. Let b be l(-8). What is the units digit of b\/5 - 5\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62750 and -0.154.\nAnswer: -9663.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411923886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7.2. Let c = l - -1. Let g = c - -0.1. Is g <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 + -16.6. Let z = s - -6.4. Which is the smallest value? (a) 1 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from kakiaaaaiaiaaaaaaa.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 244.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 5*s**4\/4 + 32*s + 3. What is the derivative of n(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-3102)\/(-198))\/(-47)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4266 + 4361 - (96 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*y - 153*y - 3*r - 133, 5*y + 2*r - 103 = 0. Let a = 44 + -31. What is the remainder when y is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 - 11*b**4\/12 + b**3\/3 - 9*b**2\/2 - 23*b + 1. What is s(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23126*n - 23129*n - l = 0, -n - 16 = -l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 197.6, 2, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74886 divided by -37443.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 2, k: 8}. What is prob of sequence qhq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 4635.\nAnswer: 23175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 1466*v**4 - 3*v**3 + v + 4359*v**4 + 10 - 1455*v**4 - 1465*v**4 as o + n*v**3 + z*v**2 + u*v**4 + b*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 9. Let c be 19 - (-1 + -1 + 1). Do c and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 1, g: 1, r: 2}. What is prob of picking 1 r, 1 y, and 1 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3 = -0*n - 2*b, -n + b + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 6 + 9 - 13 in the form z*l + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4703*h - 175*h**4 + 4703*h + 5*h**4 - 2*h**4 - 2*h**4 - h**4 + 2*h**4 - 3*h**4 + (h**4 - 2*h**4 + 2*h**4)*(0 + 1 - 3).\nAnswer: -178*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0 + 2\/3*g**3 + 14*g - 2*g**2. Let z(d) = d + 1. Let t(b) = -b + 5. Let c(a) = -t(a) + 2*z(a). Determine -3*c(s) + 2*r(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 2*z + 2*z - 3*z**3 - 22 + 22 - 3*z**2 + 3*z**2 - 2*z**3 + (-1 + 1 + 2*z**2)*(-4*z - 2*z + 3*z) in the form n*z**3 + y*z + p + f*z**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:28 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2 - 2 - 1 + w. Let m(g) = g - 2. Let q(u) = -2*l(u) + m(u). Let f(p) = 10*p. Determine q(f(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + m + 720*m**3 + 2*m**2 + 0*m + 125562*m**4 - 125559*m**4 in the form h*m**4 + t*m + b*m**2 + x + l*m**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 greater than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4*40\/(-2). Suppose 4*g - 1147 = -o*y, -2*g + 4*y - 258 = -864. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = 46*u + 27*u - 972 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/(3\/(-2)). Let q be ((-5)\/(-5) - 6) + -1 + 1. What is the closest to 1 in 8, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:24 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**4 - 3*c**3 + 4*c**2 - 16*c + 4. Let a(o) = 6*o**4 + 4*o**3 - 3*o**2 + 17*o - 5. Let h(y) = -4*a(y) - 5*n(y). Factor h(m).\nAnswer: m*(m - 2)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.022 + -5.022. Which is smaller: r or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296*i**4 + 1740*i**3 + 233*i**2 - 1430*i?\nAnswer: 7104*i + 10440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616668 divided by 4?\nAnswer: 904167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 11*r - 3*r)*(0 + 3 - 2 + (-4 + 6 + 2)*(9 - 5 + 3))*(2*r - 3*r + 5*r)*(-3 + 3 + 2).\nAnswer: -2552*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 42*y - 12*y - 10*y + 3 - 13*y - 11*y - y**2. What is n(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -13. Let g be 14\/112 + 398\/16. Calculate the greatest common divisor of g and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**3 - 5*f**2 - 8. Let n(h) = -23*h**3 - 14*h**2 - 23. Calculate 6*n(b) - 17*t(b).\nAnswer: -2*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 35 = -4*f, 5*c + 5*f = -0*f + 100. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9685295 - -174?\nAnswer: -9685121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-24)*4 + -1488. Let c = p + 2112. Suppose 3*d - 462 = -w, 5*w = d - 5*d + c. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cb9 - -4?\nAnswer: 1cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + -168. Solve -4*x + 20 = v, 2*x + p*x = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 6) in base 12?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/5 + 13\/10. Let o(z) be the first derivative of -2 + 0*z + 4\/3*z**3 - y*z**4 - z**2. Factor o(w).\nAnswer: -2*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20231 (base 4) in base 12?\nAnswer: -3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10692, 10675, 10658?\n\"Answer: -17*h + 10709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32273?\nAnswer: 59, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 - 8*k - 9. Let l be 3004\/(-10) + (-4)\/(-10). Let s be l\/45 - 2\/(-3). What is o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -10?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4065, 8044, 12029, 16032, 20065, 24140, 28269?\n\"Answer: 2*h**3 - 9*h**2 + 3992*h + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 723628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 79 = -70 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = 674 - 664 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 20. Let u be o(-10). Find the third derivative of 32*c**6 + 0*c**5 - 42*c**6 - 3*c**2 + u*c**5 wrt c.\nAnswer: -1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: In base 4, what is -1 + 1220112?\nAnswer: 1220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -16 + 14 - -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*h = -141, v + 2*v + h - 157 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = b - 308, 2*u + u + 326 = b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10120220110 (base 3) to base 5\nAnswer: 4230034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46488515 divided by 2729\nAnswer: -17035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 713 or 2851\/4?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -3)*3\/(-4). Suppose -3\/4*g**2 + v*g + 3\/2 = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:07 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 3 - (5 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**2 + 0*x**3 - 1\/360*x**6 + 0*x**4 + 1\/630*x**7 + 0 + 0*x**5 + 0*x. Factor z(o).\nAnswer: o**3*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31378.\nAnswer: 2, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -213*(11\/3 - 3). Let g = 457 + m. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 10*y - 42. Let i be l(9). Let k = i + -26. What is the remainder when k is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27675 divided by -369.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, 5, 12, 7, 0 in descending order.\nAnswer: 277, 12, 7, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 - 4*w - 22. Let m(l) = -19*l**3 + 15*l + 87. Let b(p) = 4*m(p) + 15*x(p). Let a(f) = 2*f**3 - 17. Calculate -3*a(i) - 4*b(i).\nAnswer: -2*i**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970*k - 967*k + 11*o + 2 + 3 = 0, 3*k + o = -25 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 18 - 844*c + 15 - 27.\nAnswer: -844*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1163*-21\nAnswer: 24423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 13}. Give prob of sequence qqv.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 + 203. Suppose -p = -4*a + 5*y, -5*a + 0*y + 12 = -y. Sort -3, -2, a in decreasing order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 100*g**2 + 40194*g\/5 - 1019304\/5.\nAnswer: 2*(g - 99)**2*(g - 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -55, -4, 35\/2, 2\/15, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 + 160. Are 5\/2 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -69. Let a = k + 24. Let c = 5.5 - 5.8. What is the third smallest value in 2\/3, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 - 0.2. Let w = 1.68918 + 5.31082. Which is the second smallest value? (a) w (b) k (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - g**4 - 2 + 0*g + 2*g + 3*g**4 to the form t + x*g**2 + f*g**3 + p*g + z*g**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - n)*(1 - 9 - 14)*(2 + 1 + 0 - n)*(-6 + 3 - 1) to the form x*n**2 + h + d*n and give d.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*f**2*x - 40*f**2 + f*x - 5550*f + 250969248*x wrt f?\nAnswer: -36*f*x - 80*f + x - 5550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/8 - 5*f**3\/6 - f**2. Let h be t(5). Solve -h = -6*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1092 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.54. Let u = 1659.749 - 1661. Let p = u + 0.251. What is the second biggest value in h, p, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11779844 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/54 and 5 + (8 - (-6088)\/(-432)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047 - 2104 + 3*w**2 + 1057.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 5) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**3. Let w(q) = 14*q**3 + 9*q**2 - 9*q. Let c(m) = 3*m**3 + 2*m**2 - 2*m. Let p(u) = -9*c(u) + 2*w(u). Determine -3*p(f) - t(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91506 = -118*f + 96226 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmimmmiiii. Give prob of sequence ii.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1632*0.4\nAnswer: -652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 11. Let j(m) = -m**3 + 4*m**2 + 3*m + 6. Let g be j(5). Let i(s) = -4. Calculate g*b(v) + 11*i(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/476707 and -64\/11627.\nAnswer: 476707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*u**4 + d**2*u**2 - 14*d*u**4 + d*u**2 - 2*u**3 - 27*u**2 wrt u.\nAnswer: -24*d**2*u - 336*d*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - 10) + (-2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2522 - -2537. What is the lowest common multiple of a and 952?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24372677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 3*m - 162211 + m + 162271)*(-m**2 + 2*m - 2*m).\nAnswer: 4*m**4 + 2*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*d - 3 = -0*d, -3*x + 27 = -5*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 688, -23 in ascending order.\nAnswer: -23, -3, 688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from dunafnnunudaaaunnnuf?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - 22. Let z be (-6 - 1)*w\/(-14). Let s be z\/(-1)*7\/2. What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -493*b**2 - 8410 + 267*b**2 + 641 - 16*b**4 wrt b?\nAnswer: -64*b**3 - 452*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8000001*t + 1. Suppose 5 = 2*z + 3. Let s be g(z). What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.3*-523\nAnswer: -23691.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 13*u - 7. Let j be y(12). Suppose 4*z - 13 = h - j, -2 = -z - 2*h. Suppose 8*m = z*m + 186. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g\/(g*g*(g*g*g**(1\/2)*g)\/g)*g))**42)**18)**(-5\/3))**39 assuming g is positive.\nAnswer: g**(-73710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 a factor of 484772318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -35 - 2*y**2 - 6*y + 39 + 3*y**2. Let o be 176\/28 + 4\/(-14). Calculate f(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.8 and -5012.\nAnswer: -5010.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2836*g - 14*g**2 + 2841*g + 9*g**2 - 5677*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 - -0.108. Which is smaller: -141 or j?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18*b - 512 = 0. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 + -5297\/15. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*w + 16, -w + 11*w = 22*w - 5*g + 113 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -19. Let d = 6 + j. Suppose -12 = d*q + 4*l - 0*l, 4*q - l - 3 = 0. Solve n - 3*a + 7 = q, n + 0*a + 4*a - 21 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5213972?\nAnswer: 2, 1303493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, n: 5}. Give prob of picking 2 y.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4269 (base 11) to base 9.\nAnswer: -7657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6442)\/(-4752) - (-3)\/8. Let n = 32\/27 - o. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*c**2*m**2 + 4483*c**2*m + 2*c**2 + 3*c*m**2 + 2*m**2 wrt m?\nAnswer: -24*c**2 + 6*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*s - 2*s + 3385, 4*s - 5*v = -13570. Let n = s + 4876. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-48)\/(-10149)) + 5\/(-20). Is r\/(-16) - 16\/(-128) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17906105 * 16.\nAnswer: -286497680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a10 + 2187?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22460 is divided by 440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 306*y**3 - 311*y**3 + 0*y**5 - 4*y**5 + 6*y**5 - 3*y**5 + (-2*y + y + 0*y)*(-2*y**4 - 4*y**2 + 4*y**2) - y**5 + y**5 - y**5 + 0 + 3*y**5 + 0.\nAnswer: y**5 - 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*m - m + 5.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10 + 24*l + 2 - 5. Let r = -400 + 409. Is y(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8962.91 milligrams to grams.\nAnswer: 8.96291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264955 is divided by 208?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2630703 and -2211734.\nAnswer: -4842437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -33604 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = -4*r, 6*r = 3*r + 4*t - 20. Solve -2*l = -r + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98818.231 at most -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 15*o + 15. Let l(b) = b**2 - b. Let h(u) = a(u) - 2*l(u). Let i be h(-13). Calculate the highest common divisor of 120 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (12 - (5 - 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28176766.0000224 + 28176603. Let j = i + 163. What is j rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 5*m**2 - 2*m**2 + (2*m - 2 + 2)*(-4*m + 0*m + 3*m) - 2*m**2 + 4*m**2 + m**2 + 3*m + m**2 - 3*m as c*m + v*m**2 + g and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 9603743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*f - 17*f - 17554 + 19322 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, -2\/9, 0 in decreasing order.\nAnswer: 2, 0, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-5)*b*b\/(b*b**(4\/5)) assuming b is positive.\nAnswer: b**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408 at most as big as 2409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 14*u - 4*d - 2 = 0, -5*u = -5*d - 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 + 5*k + 4. Let h be ((-36)\/30)\/((-6)\/15). Suppose 0 = 5*x - o - 29, h*o + 0*o + 12 = 0. Determine u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 15*f**2 - 2*f - 50. Determine y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.061 + -0.061. Let f = -34.2 + y. Sort -0.4, 5, f in decreasing order.\nAnswer: 5, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 3*m**2 - 16*m + 8. Let d be a(-8). Let w = d + 4355\/4. Find the common denominator of w and -81\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)*c**(-19)*(((c\/c**(4\/9)*c)\/c)\/c)\/c**(-1\/3) assuming c is positive.\nAnswer: c**(-851\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -71761*c - 143554. What is x(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-18)*(-48 + -1) and (-1)\/10*91\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33\/8 + -4. Which is the smallest value? (a) n (b) -11\/4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 5:54 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8201, 33426, 75511, 134456, 210261?\n\"Answer: 8430*w**2 - 65*w - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2. Let r(w) = -10553*w**2. What is s(r(n))?\nAnswer: 334097427*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314679, -314690, -314701, -314712, -314723, -314734?\nAnswer: -314745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 146, -2\/7, -3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 103*f + 747. Let l be u(-7). What is the highest common divisor of 1364 and l?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.172 - -0.172. What is the closest to 0.05 in r, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**(-7)\/t))\/t)**(-5\/9))**(-1\/2) assuming t is positive.\nAnswer: t**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -790843, -790974, -791101, -791224, -791343, -791458?\n\"Answer: 2*d**2 - 137*d - 790708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16 - -4)\/(6\/(-4)) and (-3)\/2*(-288)\/27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 9) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-98))\/(1*(-30)\/35)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 7) + (29 - 20). Suppose 5076 = w*g - p, g + 3*p = -g + 2524. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337*1923.\nAnswer: -648051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 117*x**3 - 57*x**2 - 67*x + 2. Let z(o) = -234*o**3 + 114*o**2 + 135*o - 6. Let p(u) = -9*i(u) - 5*z(u). Factor p(j).\nAnswer: 3*(j - 1)*(3*j + 2)*(13*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-47)\/12 + 4). Let d be (((-16)\/(-2))\/8)\/(2\/z). Does 7 divide d - (-3 + 1 + (-4 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23*i - 1764 = 0. Let f = i - -104. Solve 5*n = 3*n + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 799*z**6\/10 + 5*z**5\/6 + z**4\/24 - 5*z**3\/3 - 696*z**2 - 3*z. What is the third derivative of p(r) wrt r?\nAnswer: 57528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (10 + -10 + (12 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x\/(x*x**(-3\/2)*x))**(-6\/7)*(x**(2\/9)*x*x**2)**12 assuming x is positive.\nAnswer: x**(785\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5017763 (base 9) to base 3\nAnswer: -12000121212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4112\/64 - -7)*(-5442 - -2). What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 3:21 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259520078.\nAnswer: 2, 41, 67, 47237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587709, -587714, -587719?\nAnswer: -587724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8012 divided by -4.\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 2.1997, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11692 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**4 - 6868*a**3 + 251012*a**2 + 1269360*a = 0.\nAnswer: -9\/2, 0, 43, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 30. Let t be s(13). Suppose -t*o + 5*b = -52, 2*b + 8 = o - 8. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/23300 and -27\/20737.\nAnswer: 2073700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r. Let s(t) be the first derivative of -25*t**2\/2 + 2062. Calculate o(s(p)).\nAnswer: 75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 328*b + 26896.\nAnswer: (b - 164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3356 is divided by 124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.0777. What is s rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10*c*c)**(-11) assuming c is positive.\nAnswer: c**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/24 - 15*x**2. Let v(t) = 2*t. Give n(v(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*n - 37*n - 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 10 (c) -0.089 (d) -0.49 (e) 1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418*f**2 + 1379*f - 1379*f.\nAnswer: -1418*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose 169 = s*o + 5*q, 2*o = 3*q - 25 + 154. Suppose 0*z - 4*z + o = 0. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078369?\nAnswer: 19, 214651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2499434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*4*15\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 205*x**2 + 13 + 23 + 13.\nAnswer: 205*x**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 0.65. Let w = x + -5.85. Round w to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 7986 = 5*i - 7962, 0 = -6*i - 2*p - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2601)\/1156 - (-118)\/52.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-8)*(-1 - (74 - 3)). Suppose b*w - 23 = 89*w. Calculate the remainder when 68 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03189 + -0.1.\nAnswer: -0.06811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let v = 7 + -2. Let f(y) = -y + 1. Let l(z) = v*g(z) + 6*f(z). Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*q - 107, q - 3*c + c = 15. Calculate the highest common divisor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424095117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -298, 6, -1, -3, -99 in ascending order.\nAnswer: -298, -99, -3, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1923 - -56.4323. Let d = r + -26.222. Let z = 30 - d. Round z to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206978*r = 206981*r - 7*f - 92, -4*r - 3*f - 50 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(-4\/11))**(-3\/5)\/(f\/(f\/(f*f**5*f*f))*(f**(1\/8)*f)\/f*f\/(f\/f**6)*f**2\/f*f) assuming f is positive.\nAnswer: f**(-7143\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4796 = 11*c - 7*c + 3*u, -2*c + 5*u + 2424 = 0. What are the prime factors of c?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l + 4274 = 5723. Solve 58 = l*q - 47 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2793*v - 2758*v - 5*f = -185, 2*f = -5*v + 5*f - 63 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-12 + -10 - -57).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12902511451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:28 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*m + 734 = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/266 and -39\/4037.\nAnswer: 1073842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = m - 187. Suppose -5 = -5*x + 4*x. Let a = m - x. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 594177.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55078*t**2 - 23*t + 10448496 wrt t.\nAnswer: -110156*t - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + o**3 + 7*o**3 + 14*o - 3*o**3 + o**4 + 0*o**3 to the form p*o**2 + t*o**3 + x + g*o + z*o**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*r - 1306 = 0, t + 3*t = 5*r - 1749. Let q be t\/(-18) - (-2)\/(-9). Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64728 + 116583 + 120813 = 17*x. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 - 574*d**2 + 151920*d - 7565400 = 0. Calculate d.\nAnswer: -467, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z - 6. Let u(m) = -5*m + 3. Suppose 0 = -4*l + 153 - 5. Let c = l - 31. Give c*g(o) + 13*u(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88523 - 1062275\/12. Suppose m*h**2 - 2\/3 - 7\/12*h = 0. What is h?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:05 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 30 = 3*f. Calculate the lowest common multiple of ((-66)\/132)\/(2\/(-4)) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:09 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 5*g**8\/336 - 23*g**6\/120 + g**5\/60 + 41*g**4\/6 - 421*g**2. Find the third derivative of j(z) wrt z.\nAnswer: 300*z**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-135)\/(-63))\/((-35)\/98).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-4.943.\nAnswer: -5.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 969713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -50. Calculate the remainder when (-3)\/150*-4 + (-13111)\/(-175) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-30)*(-69)\/(-2). Let w = 28 - c. Suppose w = -2*h - 13. Put h, 3, -4 in decreasing order.\nAnswer: 3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y - 89*y + 40 = 0. Suppose 2*a = 3*h - 4420, -h + y*a = -5*h + 5878. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:57 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48450554, -48450556, -48450558, -48450560?\n\"Answer: -2*n - 48450552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -755*j**3 - 6100*j**2 - 12560*j - 960.\nAnswer: -5*(j + 4)**2*(151*j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 19*s + 2*s**3 - 5*s + 6*s to the form g + y*s**3 + b*s + k*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/6*(-53)\/2*-18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7378 = -552*x - 5870 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5754\/(-198) + ((-20)\/(-385))\/(18\/21))\/1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5 - 94*g + 34*g + 0 + 51*g. Let w(i) = -13*i + 8. Give -7*o(b) + 5*w(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -73. Find the third derivative of 44*l**5 - 9*l**2 - 5*l**5 + 27*l**3 - u*l**3 wrt l.\nAnswer: 2340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 22*m**2 - 22*m - 10. Let s be p(23). Let y(v) = -10*v + 134. Let k be y(s). Solve -9*q + k*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 698.3 + -698.32. Let h be 8\/(-16) - 17\/(-2). Which is the fourth biggest value? (a) 5 (b) w (c) h (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1953 divided by 1953\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872))**2*-5*6.\nAnswer: -56160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**4 + 3*l**4 + 21 + l**3 - 2*l**4 to w*l**4 + y + g*l**3 + v*l + n*l**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.59 + 0.41. Let t = 6.73 - -10.79. Let p = a - t. Round p to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5620629 is divided by 4592.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 98*b**2 - 3*b - 1158*b**2 - 2055*b**2)*(2 - 3 + 0) to t + y*b + s*b**2 and give s.\nAnswer: 3311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*u - 81*u + 74*u to g + n*u and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-16) + -1 + (-1)\/(-4). What is the nearest to 10 in -1\/4, f, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 6. Let f = -3795 - -3802.006. Let w = c + f. Round w to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83270429\/135 - 616813. Let p = 76\/15 - c. Calculate the common denominator of p and 149\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7211*j**2 + 2*j + 43965?\nAnswer: 14422*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -13 + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8075462 and 0.4?\nAnswer: -3230184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -14 - (-481 + 493)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 1, k: 1, t: 2, q: 1, m: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-17)*(-208)\/832.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33638 - -441.\nAnswer: 34079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71443652?\nAnswer: 2, 7, 2551559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -s + 261. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhxohooxxx. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11509 or 11505?\nAnswer: 11505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 3255618.3.\nAnswer: -162780915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.3 - -47.7. Let x = -79 + t. Put -14\/9, -1, x in descending order.\nAnswer: x, -1, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -2 (c) -4 (d) -128580008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12153866033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(-22)\/((o*o**9\/o)\/(o\/(o*o\/(o*o**(6\/11)\/o*o*o))*o)) assuming o is positive.\nAnswer: o**(-797\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4 + 21254*t**3 + 297206*t**2 + 445674*t - 764136 = 0.\nAnswer: -10613, -12, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 38 + -28 + -45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 27282*x - 62025627 = 0 for x.\nAnswer: -4547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72540269*l + 155196429.\nAnswer: -72540269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -188.934. Let k = -0.134 + p. Let c = -2.02 + 0.02. What is the nearest to k in 5, -2\/17, c?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4883*20.\nAnswer: 9.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 96*m + 778. What is the remainder when 1914 is divided by d(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1297 divided by -16195.\nAnswer: -1297\/16195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-91)\/(-305) + (-4)\/20. Let c = -860\/383 - -571709\/233630. Let k = c + z. Find the common denominator of k and 23\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10 and 127\/125090.\nAnswer: 125090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/(j\/(j*j**(-2\/9))*j))\/(j\/((((j\/(j*j**30))\/j)\/j)\/j))**7 assuming j is positive.\nAnswer: j**(-2333\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 3, t: 3, v: 1}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 14857077901.\nAnswer: -14857077906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39467 divided by -39467.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 22 = -g, g + 3 = 2*b + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 862*f**3*z**3 + 17*f**3 + 1321*f + 61*z**4 - 4 wrt z.\nAnswer: 2586*f**3*z**2 + 244*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2940 and 149156.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h + 3, 5*p + 158 = -3*h. Is p bigger than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/14 - (-4)\/(-14). Suppose -u*z - 17 = -92. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -53 + 7*u - 6*u**2 + 60 - u**3 + 2*u**2. Let a(j) = -5*j. Suppose i = -3*c - 3*i - 5, 0 = 4*c - i - 6. Let b be a(c). Determine q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 39.089761 and -4?\nAnswer: 43.089761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13598 is divided by 73.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-5) - 14\/35. Let b(d) be the first derivative of -d**4\/24 + 3*d**3\/2 - 15*d**2 + 6. Let v(i) be the second derivative of b(i). What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - (6 - 6)) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*g - 42 = 4*g, -i + 5*g + 13 = 0. Suppose -k + 5*k - 3*m - i = 0, -k - m - 3 = 0. Suppose k*u = -u + 4*p + 133, -p = -5. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335918, 335889, 335860, 335831, 335802, 335773?\nAnswer: 335744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 88 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9669, 19385, 29077, 38745, 48389, 58009?\nAnswer: 67605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/28014 and 139\/7728.\nAnswer: 224112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 1881 = -199*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -2*o + 114. Solve -o*z = 5*s + 5, 5*s + 26 = 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.190566171 to 5 dps.\nAnswer: -0.19057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -294, -689, -1256, -2001, -2930?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2100)*5*4)\/(sqrt(28)*-3 + 2*2*sqrt(7)) + 3.\nAnswer: -100*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:02 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 15*w**2 + 13*w + 6. Suppose 16*g + 11 = -213. What is the remainder when 52 is divided by t(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -11*k - 55. What is the remainder when 53 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1919, 7693, 17317, 30791, 48115, 69289, 94313?\nAnswer: 123187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 4*a + 2*a + (-3 + 3 - 1)*(3*a - 2*a - 3*a) + 2 - 2*a - 2 - 1 - a + 1 + (-3 + 3 - 1)*(-a - 4*a + 3*a) + 2 - a - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. What is the second smallest value in 6\/11, x, -2\/9?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 167?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c - 22 = k + 48*c, 10*k = 5*c + 55 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 113654*-0.3\nAnswer: -34096.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32 and -8 + 5 - ((-46)\/(-24) - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose -h = b*h. Suppose -4*g + 18 + 54 = h. Solve 4*l + 21 = -5*i, 5*l - i = i - g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8) + (-78)\/4. Let h = u + 25. Solve -1 - 3 = -h*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103372138 to the power of 1\/2, to the nearest integer?\nAnswer: 33217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 94*n**2 - 74*n + 344. Calculate f(32).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31713712 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 17158?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y**8)\/y)*y)**(-34)*y*y**(-21)*y*y**15 assuming y is positive.\nAnswer: y**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/19, -2\/9, 12, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*b + h + 6, -4 = 2*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.01, 6071, -14, -0.5, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -375 + 321 - (-15 + -4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -4921, -4.\nAnswer: -4921, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 - -180.9. Let m = 1 - -1. Let d = 3 + m. Put d, x, 3 in ascending order.\nAnswer: x, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*m**2 - 155*b**2*m + 57*b**2 - 10933*b*m**2 - 118*b + 4*m**2 + m + 2 wrt m?\nAnswer: -4*b**2 - 21866*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = -39495 + 39615 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 5*w**2 + 7*w - 2. Suppose 4*r - 5*m - 9 = 0, -5*r = -4*r - 2*m. Let t be d(r). Factor 0 - 1\/5*q**2 + 1\/5*q**t + 0*q + 0*q**3.\nAnswer: q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13299594 to the power of 1\/2, to the nearest integer?\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 48, 74, 104?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 1045, 0.3, -4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/784?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**7\/1260 - t**5\/40 + t**4\/4 - 2*t. Let a(z) be the third derivative of b(z). What is the derivative of a(c) wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 52, -5, 4, 0 in decreasing order.\nAnswer: 52, 4, 0, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000099011759 rounded to seven decimal places?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071916108 to six dps.\nAnswer: -0.000719","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302681343.\nAnswer: 3, 13, 23, 251, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121\/6 - 39\/2. Let b(u) be the second derivative of -6*u + f*u**2 + 0 + 1\/3*u**3 + 1\/18*u**4. Let b(g) = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/11 (c) 6\/7 (d) 1\/10 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 6) to base 13.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 6*a - 3*a + (-a + 0*a + 0*a)*(2 - 3 + 3))*(-81 + 11 + 4)*(2*a**4 + 2*a**4 - 5*a**4).\nAnswer: -66*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/60 - 7*g**5\/60 - g**4\/6 + 2*g**3 - 2*g**2. Let k be j(9). Suppose -7*h - 265 = -k. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4470 - 4466. Suppose 2*l + 2*l - 8 = 0. Suppose 0*a = l*a - 5*n - 32667, -a + 16335 = -r*n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5053 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let t be 4\/14 + 3122\/49. Suppose -5*u + t = r - 2*r, -3*u + 52 = -4*r. Suppose 0 = 2*n - u. Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*m + 21 = 0, -i - 4*m = 4*i - 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (2 + -3 + 3). What is the highest common divisor of 18 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/3143 and -93\/373568.\nAnswer: 2614976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5609*m + 2 - 12388*m + 5997*m.\nAnswer: -782*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11 = 4*q, 9*q - 7*q + 4 = 0. Let z be ((-4608)\/135)\/16 - (-1 + w). Suppose 0 = 5*v - 6 + 1. Is z greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381985392.\nAnswer: 2, 3, 7958029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10446 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -3, -5, -1\/10, -0.5 in decreasing order.\nAnswer: -1\/10, -0.5, -1.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90733808.\nAnswer: 2, 11, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/450*225\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 108065.454 hours?\nAnswer: 643.24675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*k - 18*k. Solve j - 2 = -0*j - 5*q, 4*j = k*q - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-17 + 13 - -6) + 27389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8.096. Let o = x + 0.0959999. What is o rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79338227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 99321, 11, 2\/25?\nAnswer: 99321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2123\/25 - -85. Let d = -21\/50 - o. What is the third smallest value in d, -0.13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -395768\/27 + 14656. Find the common denominator of k and -76\/237.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -2232, -4890, -8596?\nAnswer: -13350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 863042*d + 227*d**2 + 460*d**2 - 863035*d to q*d**2 + c + f*d and give q.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 4*r + 2. Let c be (3*(-5)\/(-30))\/((-18)\/36). Let j(s) = -s**2 + s + 1. Determine c*m(k) + j(k).\nAnswer: 2*k**2 + 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/25 or 9\/20?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 2*s - 6*s - 161 - 164 + 375. Let p(h) = 7*h - 51. What is -5*p(z) - 6*t(z)?\nAnswer: z - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -22 (c) -0.0693 (d) -0.3 (e) 4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -739.3 + 736.3. What is the nearest to -2 in p, -1\/2, -0.01, -19\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -5*k, 0*f + 5*f + 5*k + 10 = 0. What is the closest to -3 in -3, -4, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 86 = -80. Let o(c) = -17*c + 1. Let a(s) = -s. What is g*a(k) - o(k)?\nAnswer: 11*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167812875 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -552*d. Let u(h) be the second derivative of -h**3\/6 + 5693*h. Calculate u(l(w)).\nAnswer: 552*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 0 (c) -1\/3 (d) -0.067 (e) 1 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860946515.\nAnswer: 3, 5, 79, 174491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*l - 2*f + 12, -4*f = l - 3. Solve a + 16 = 4*p + 5*a, -l*a - 2 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30576 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9773099\/325 + 30071. Let u = d + -2\/25. Which is the nearest to 0.1? (a) -2 (b) 1\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7*h = -2*h + 30, 0 = 3*k + 5*h + 22. Let q = -4 - k. Suppose -5*w + 0*w + 95 = q. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458555349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 500*i - 62475. Give s(-255).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -15. Suppose 2*v - 32 = 2*p, 16 = v - u*p + p. Suppose 4*c - 4*z - 124 = 0, -2*c + 2*z + 91 = c. What is the remainder when c is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let v(t) = -12*t**2 + 2*t. Determine v(o(d)).\nAnswer: -192*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*c + 17*c + 308*c - 5027 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 248. Let v = -12176758173.99999919 + 12176757992. Let q = k + v. What is q rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200972884 and 30530.\nAnswer: 1004864420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t**2 + 5*t + 40. Let w be f(9). Let y be (-1*22)\/(2\/4). Let i = w - y. Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/32 + q**3\/8 - q\/2 + 20. Suppose l(s) = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26490 divided by 883\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/24 + l**3\/6 + l**2\/2 - 3*l. Let d(m) be the first derivative of h(m). Let p = 3 - -2. Calculate d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeezeeegeegegcegec. What is prob of sequence cz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 20. Suppose 4*n + 182 = a - 2*a, -5*a = -n - 35. Let v be 30\/n*(-3)\/1. What is the greatest common factor of v and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - (-19)\/(-44). Let j = -5023.93 - -5024. Which is the smallest value? (a) -1\/3 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*u**2 - d**3*u + 140710*d**3 + d**2*u + d*u - 10809260*u**2 - 2 wrt u?\nAnswer: 4*d**3 - 21618520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -5153, -0.04, -3\/7, -2\/5, -11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 9 = 0. Let r be 100\/24 + (-3)\/18. Suppose b*m = r*m - 140. What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 10\/21, 2, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 + 11 = 0. Suppose 2*w + q = -4*m, -4*w = -2*m + 21 - 1. Solve -1 = -m*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 153*d**2 - 49*d - 102. What is f(-2)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55, 45, 39, 37, 39, 45?\n\"Answer: 2*l**2 - 16*l + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1 - sqrt(112))*-2 - sqrt(336)\/(sqrt(96)\/sqrt(2)))**2*-3.\nAnswer: -33 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from clmmllolmcmcolmmo?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*m - 330 = -25*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * -10.352\nAnswer: 13.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 37*v**2 + 3*v + 16. Let w be 12\/21*(-28)\/(-8) - 5. Let z be f(w). Suppose 3*m - z = -2*m. What is the highest common factor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 - (0 + (-7 - -1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -83?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 22*d**3 + 56*d**2.\nAnswer: 2*d**2*(d + 4)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 172819300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/12 and -51\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 159*m**2 - 2*m**3 + 66*m**2 + 99*m**2 to f*m + p + y*m**3 + v*m**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(-2 - z + 2) - 9 + 9 - 3*z)*(3 - 2 - 3).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 7*p**5\/60 + 5*p**4\/24 - 5*p**3\/6 + p**2. Let v = 8 + -13. Let f(k) = 3*k**2 + 2*k - 2. Give v*f(l) + 2*w(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(-10) - (-1071)\/(-153).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/175, 2\/9, 0.088, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(135\/(-6)))\/(36\/162)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7.5. What is the nearest to -1\/2 in 2, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**3\/3 - o**2 + 2. Find the second derivative of g(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155112\/(-7868))\/(6\/(-14))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14252949 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/7)\/(q\/q**(-18\/13))*(q*(q\/(q*q*q\/(q*q**(-7))))\/q*q)\/q**(2\/7) assuming q is positive.\nAnswer: q**(-122\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 377944864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let v(t) = -6*t + 33. Let a be v(5). Suppose 0 = j + a*j + 8, n + j = 1. Give p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let q(p) = -2642*p. Give b(q(v)).\nAnswer: -2642*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5602869899 to the power of 1\/2, to the nearest integer?\nAnswer: 74852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12743\/2 - -6369. Which is the third smallest value? (a) 1 (b) 0.1 (c) -0.1 (d) t (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/300 - 7*l**4\/40 + 13*l**3\/3 - 7*l**2 - 125*l. Factor c(i).\nAnswer: -(i - 5)*(i + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l. Let z(p) = -2*p**2 + 4*p + 4. Let k(t) = 2*t**2 - 5*t - 5. Suppose 7*j - 9*j + 8 = 0. Let i(f) = j*k(f) + 5*z(f). Determine i(r(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 - 80*p**2. Let i(q) = 42*q**3 - 640*q**2 - q - 1. What is -2*i(w) + 17*v(w)?\nAnswer: w**3 - 80*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-12) - (-6)\/(144\/52). Solve -c - g*b - 6 = 0, 0 = -4*c - c - 5*b - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 = 5*r - 8, 0 = 2*r - 4*l - 2. Let d = 0.11 - -3.89. Put d, r, -3\/7 in decreasing order.\nAnswer: d, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5376)\/448 + 56\/(-64)*4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*y - 4. Let r(z) = z**2 + 6*z + 8. Let b be r(-6). Let w = b - y. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l + 5. Let o(y) = 4*y**3 - 14*y + 24. Suppose 13 = k + 5*v, 3*k = -k - 4*v + 20. What is k*o(t) - 14*w(t)?\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -2651555?\nAnswer: -2651555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -401\/5, 1, -2\/9 in increasing order.\nAnswer: -401\/5, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 98*h - 292. Calculate i(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 4*l**2 + l + 9. Calculate g(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 4908879 - 6*m**3 + 19*m**2 + 3*m**4 - 4908868 - 4*m**4 as v + x*m + f*m**2 + p*m**4 + y*m**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161057?\nAnswer: 13, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25)*4)\/(26\/(-65)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and -292?\nAnswer: 291.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057488 is divided by 20330?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*d + 91 + 10, -3*d = -5*p + 136. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(20\/1135) + 21\/(-252)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/(w*w*w**(-9)) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 69684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = -r + 3*r, -12 = -4*r - 2*h. Differentiate -n**4 + 4 + r*n**4 - 2*n**4 with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:27 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 13*x**2 - 61*x - 38. Calculate y(-17).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.53057 hours in milliseconds?\nAnswer: 19910052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 5, -2\/7, 160, 1.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 + -333.87. Let r = l + -0.13. Let s = 7 + r. Which is smaller: s or 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((sqrt(729)*-1)\/(sqrt(6)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 18 (b) -39 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 16) to base 12\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let d(a) = 10*a**2 + 2*a + 1. Let n(g) = d(g) - 3*r(g). Give n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.9. Let w = 0.1 - u. What is the second smallest value in 1, 3, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/5 + 2\/(-10). Let r = l + 13. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 3. Let q be i(-1). Suppose 5*p + 24 = -2*h, 0 = 3*p + q*h - 9 + 31. What is the second smallest value in -2\/7, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97840086, -97840087, -97840088?\n\"Answer: -r - 97840085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 6*v + 10, -12*m = -7*m - 4*v - 22. Let -8*n + 17\/2*n**2 + m - 5\/2*n**3 = 0. Calculate n.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 94*n**3 + 22*n**2 - 6*n + 9. What are the prime factors of m(3)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 4)*(-6*l + 3*l + l) + 0 + 0 - 2*l - 5*l - 5 + 5)*(7 + 0 - 4) + (1 - 6 + 3)*(4*l - 5*l + 2*l).\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1192 and 879.\nAnswer: -1047768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -18*f + 17*f + 4, -2*f = -4*o + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*8\/(-12). Let n(k) = -2 + z + k**2 - 3*k + 0. Let y be n(3). Is y <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(30) + (sqrt(30)*-1 - sqrt(30)))\/sqrt(10))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -3. Let v(z) = -11*z - 6. What is the remainder when v(f) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13650666 and 1033066.\nAnswer: 7886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -109*f - 2913. Let n be z(-26). Sort 12, n, -2.\nAnswer: n, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1\/(16\/24). Find the third derivative of -11*j**2 + 4*j - 25*j**3 - j - 237*j**3 - 14*j**2 + 17*j**x wrt j.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2*g - 4. Let u be z(4). Let v(b) = 2*b**2 - 2*b + 2. Let a be v(2). Suppose 7 = -29*m - 9 + 74. Solve m + a = u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050 + 29 = -189*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185610 - 1426412848\/7685. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-9)*0 + 3299)*1. Let t = j + -2252. Suppose 283 = b - 5*u, 4*b - 3*u = -0*u + t. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7263456 rounded to two decimal places?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3 - 3)*(-860 - 83*z + 860)*(4*z - 3*z - 2*z).\nAnswer: -249*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301458*c + 5*c**2 + 301458*c - 6*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/337701 and 19\/1701?\nAnswer: 27353781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 6*n + 13510. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*(-170)\/11161095*-23.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 3*a**4 - 2*a**4 + (a**2 + a**2 - 3*a**2)*(a**2 - 2*a**2 + 0*a**2) + a**4 + 8*a**4 - a**4.\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 35357789?\nAnswer: -3\/35357789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = 16*o. Let m(k) = -533*k**3 - 3*k - 2. Calculate the smallest common multiple of m(o) and 7.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975867740 divided by 10272292.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 397 = 6*d. Let v = -84 - d. Solve 4*j + 12 = -i, 2*i = -4*j - 7 - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*b - 81*b - 3486. Suppose -8*d + b = -14091. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 37, -16, -101, -224, -391?\n\"Answer: -n**3 - 7*n**2 + n + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 3, g: 2, t: 1, j: 1, k: 4}. What is prob of sequence xwt?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/133*(0 - -7). Solve 4*t + 6 = f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3, 6*l - 4*b + 6 = 3*l. Let t be 4*4\/16*l. Suppose t*j - 16 = -2. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4 - 3396*y**3 - 16904*y**2 - 20256*y = 0?\nAnswer: -844, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -56*(-41)\/((-3157)\/4). Let q be (3 - 6)\/(1 + 0). Is q > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 138 = -173 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 139886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-880)*-418 - (-1 - -3). Let t(n) = n**3 - 14*n**2 - 45*n - 94. Give t(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let g(b) be the second derivative of -5*b**6\/48 + 31*b**4\/12 - 28*b - 1. Let p(q) be the third derivative of g(q). Calculate p(j(r)).\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2099*m + 4352. Calculate a(2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32013 (base 4) to base 12.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 301386 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 15. Suppose -k = -0 - n. Suppose -3*f = 2*x - 40, 0 = 4*f - k*x - 0*x - 61. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v - 12 = 0. Let l be ((-4)\/6)\/(v\/27). Does 15 divide -20*l\/8*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -69. Let u(g) = g**3 - 24*g**2 - 25*g + 24. Let w be u(y). What is the highest common divisor of 96 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Let r = 3492 - 3491. Solve 4*d - r = y, y + 1 = -f*y - 3*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 9*w + 193. Is z(0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/12)\/(15\/(-120)*12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/11 and 2 + 11550\/(-5496) - 2\/(-8)?\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7132909307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let a(f) = -3*f + 4. Let x(y) = -a(y) - 2*z(y). Suppose -12*u = -17*u + 25. What is the tens digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 74\/751 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.5, 0, 1, 77, 0.1, 0.193?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((462\/(-45))\/1 - -4)\/28. Let k = 1\/42 + s. Let t = 94 - 467\/5. Sort k, -0.3, t, 5.\nAnswer: -0.3, k, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5733b1 + 2?\nAnswer: 5733b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let u = -2.4 - 0.2. Let w = u + 3. Put w, z, 2 in ascending order.\nAnswer: z, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.5, 4, -0.2, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2642, -2630, -2618, -2606, -2594, -2582?\nAnswer: -2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 72. Let n be v(14). What is the highest common divisor of n and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -209147\nAnswer: 209146.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239802 is divided by 1142.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.9 + 10.9. Which is the third biggest value? (a) o (b) -3 (c) 4\/5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1832*h = 2009*h + 12213 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 17 = -5*m + m, 2*r + 22 = 4*m. Find c, given that 16\/5 - 8*c + 28\/5*c**2 - 6\/5*c**m = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79d97 + -db?\nAnswer: 79cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (967 - 482 + 159*l - l**2 - 484)*(3*l + l - 5*l - 2*l**2) to the form r + j*l**3 + b*l**2 + c*l + a*l**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26906 + -26885. Solve -15 - 6 = -k*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 949 + -1000 + (1 - -47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 117*t + 4. Suppose -3*w - w = -3*j - 40, 0 = -2*w + j + 18. Suppose y = g - 3, -2 - w = -3*g - y. Is a(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/30 + h**4\/12 - 81*h**2\/2 + 3*h + 1. What is the derivative of z(j) wrt j?\nAnswer: -4*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -2*j. Suppose 0 = -5*v + j*x + 14 + 5, 0 = -4*v + x + 17. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29501 >= -29501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2071 + -2068. Let l(c) = -c**2 + 2*c + 4. Give l(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -4 - 4) + (123 - 138)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1151\/676 - 8\/169. Let w = -4796\/9 + 538. Find the common denominator of b and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/203)\/((-6)\/56)*(-12)\/36\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k - 10. Suppose 0 = 5*i + 11 + 9. Let b(q) = -q**2 - q + 14. Calculate the smallest common multiple of b(0) and r(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17004.127 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 38*c**3 + 425*c**2 - 1156*c.\nAnswer: c*(c - 17)**2*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let d = 31 + -31. Let w(j) be the third derivative of 0 - 1\/12*j**4 + 3*j**2 + d*j**3 + 0*j. What is y(w(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57450646 divided by -11\nAnswer: 5222786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1860?\nAnswer: -1\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 213.722?\nAnswer: -1068.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f**3 - 8629 + 8629.\nAnswer: 53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8 - 15 + 4*j**2 + 7. Let c(i) be the first derivative of -i**2 - 1. What is c(u(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -640540, 2, 5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 + -296. Let b(u) = -2*u**3 - 11*u**2 + 5*u + 4. Let s be b(o). Solve 4*y - s = 5*r, 2*r - 6 = -2*y + 4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) - 3*-2. Let i(t) = -109*t - 982. Let l be i(-9). Let g = 12 - 58\/5. Which is the second biggest value? (a) g (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -3\/2 (c) -276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(1\/6)\/h*h*h))\/((h\/(h*h\/(h\/(h**10*h*h*h)))*h)\/h))**(-40\/3))**(-33) assuming h is positive.\nAnswer: h**(16940\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 92 - 4*x**2 - 89.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12434579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011220 (base 3) to base 10.\nAnswer: -6693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18435 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219260363?\nAnswer: 7, 31322909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 6*m + 0*m - 5*m + 6*m - 13*m + 1 - 1 + m + (1 + 2 - 2)*(2 + m - 2))*(3 - 11 - 5).\nAnswer: 221*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*o**3 + 4866*o**2 - 11220*o + 2808.\nAnswer: 3*(o - 2)*(o + 234)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from {z: 6, b: 3, p: 2, e: 1, u: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((12 - 5)\/(-756)). Let m = -81 - q. Let o be (-2)\/7 + (-107)\/(-7). Calculate the highest common factor of o and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56579410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/9*(-1 - 31\/(-25)). Which is the nearest to 0.1? (a) -2\/11 (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6)*6\/(-28))\/((-1287)\/231)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1418 - -1987. Find the second derivative of -19*u - 59*u + d*u**5 - 3404*u**5 + 19*u**2 wrt u.\nAnswer: 20*u**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -3, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/30 - 4*q**5\/15 + 5*q**4\/6 - 4*q**3\/3 + q**2\/2 - 5*q. Let s(t) be the first derivative of v(t). Factor s(o).\nAnswer: 4*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrt when three letters picked without replacement from {e: 1, t: 2, x: 1, r: 1, q: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - 0\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g + 1. Let k = 12 + -8. Let x be z(k). Solve -2*f - 4*w + 24 = 0, -5*w + x = -4*f + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 1109291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.0009 nanometers in millimeters?\nAnswer: 0.0009440009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1300 + -2022?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821294004?\nAnswer: 2, 3, 17, 157, 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*n**3 - 72*n**3 - 25*n**3 + 1 - 4*n**2 + 2 - 68*n**3 in the form o*n**3 + r + y*n**2 + l*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ripu when four letters picked without replacement from {p: 1, i: 4, u: 2, r: 3, e: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -11220010121020?\nAnswer: 11220010121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.2 + -98.2. What is the smallest value in 1, t, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -21. Suppose -38 = -a*u + 6*u. Suppose 0*z + 65 = 5*z. What is the remainder when u is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/420 and 4 + ((-31365)\/(-539))\/(-15) - (-4)\/(-22).\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l + 5*c + 6, 2*c - 16 = -3*l. Suppose -l*s + 840 = u, u = 12*s - 14*s + 420. Calculate the highest common factor of s and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 2, 7, -2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x - 2*x. Suppose x*j + j - 4 = 0. Let b = 6 - 8. Put b, 4, j in decreasing order.\nAnswer: 4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 183*g**3 + 179*g**3 - 9*g - 4*g in the form b*g + m + s*g**3 + j*g**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-27)\/5. Let n = -4731 + 9465\/2. What is the biggest value in n, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*n**2 + 453*n**2 + 2*n - 2*n + n + 60*n**2 to the form k + i*n + l*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*q**2*s**2 + 5*q**2*s + q**2 - 1525*q*s - q - 44295*s**4 - 3*s wrt s?\nAnswer: -212*q**2 - 531540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -42*w**2. Let c(g) = -g. Determine c(v(l)).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2414, -5 in descending order.\nAnswer: 4, 0.2414, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23179213 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100441554*p**3 - 567124360*p wrt p?\nAnswer: 602649324*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 0.2092, 5, -3, -2\/5, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/(j*j*j**(-11\/4)) assuming j is positive.\nAnswer: j**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 9. Let z = -2.00008 - y. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7635.325 minutes?\nAnswer: 458119.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 27*d + r = 0, 0 = 5*d - r - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280, -1100, -2454, -4342, -6764, -9720, -13210?\n\"Answer: -267*k**2 - 19*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -688. Let p = i - 275. List the prime factors of p.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**6\/720 - z**5\/120 - z**4\/3 - 3*z. Let i(d) be the third derivative of q(d). List the prime factors of i(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 - 44*r - 705. Determine o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.406. Let r = y - -0.0060014. Round r to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3664858.43 to the nearest 10000.\nAnswer: 3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391 times 22?\nAnswer: -30602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -4*n. Suppose 6*g - 45 = g. Suppose 1 = -t + 6*t - j, 5*t + j = g. Solve -f + n + t = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-6)*(-3366)\/136)\/(2 + -4). Sort -2, -36, k, -1 in descending order.\nAnswer: -1, -2, k, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 7 = 137. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a8 (base 16) to base 12\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2109 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*v - 1248, -4*v + 7*v + 915 = 3*m. Let r = m + -271. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w + 3. Let s be a(4). Suppose -q = 2*q + s. Let r be 6\/q + 420\/1813. Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. Suppose 2*o - 3*d = -11, -z*d = 4*o - o - 31. Solve -s - o = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 2041*u**5\/60 - 13*u**4\/8 - 5*u**3\/6 + 4915*u**2. Find the second derivative of n(a) wrt a.\nAnswer: 4082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000062987 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3*(-3)\/(72\/20). Let r = w - 43\/9. Let c = 0.1 - -0.9. What is the nearest to c in -1\/4, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.5. Let z = q - -0.1. What is the third smallest value in z, 1\/3, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 5*x + 10*y, 5*x - 4*y = -25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*a**2)*(3*a - 10*a - a) + 2*a - 2*a - 2*a**3 + (-6*a**2 + 0*a**2 - 2*a**2)*(-2 + 2 - 3*a) - a**3 + 3*a**3 + 2*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/30 and 136\/45 - 18\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g. Let a(u) = -4*u. Let b(q) = -15*a(q) - 6*k(q). Let v(z) = -2*z**2. Give v(b(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1605 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -119. Let i be -1 + (2 + -1 - 1). What is the third biggest value in i, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.017, 1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 633*p**4 - 10992*p**3 + 9108*p**2 + 20736*p = 0.\nAnswer: -1, 0, 2, 18, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - 24*t + 1 - t - 1 + (t + 0*t - 2*t)*(5 - 1 - 2) + 3*t + 0*t - 5*t)*(3 + t**4 - 3).\nAnswer: -30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + 4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78635, 77420, 76203, 74984, 73763, 72540?\n\"Answer: -a**2 - 1212*a + 79848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 7 + 7. Let d = -14 - -6. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2626070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*3*(3*sqrt(2736) + sqrt(2736) + -1).\nAnswer: -1152*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.55 + -237.45. Let j = 241.999998688 + v. Round j to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1208.7.\nAnswer: -3626.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.55 times -5.9?\nAnswer: -646.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5361614071 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -39. Let l = o + -8. What is the lowest common multiple of l and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubbbubbbbb. What is prob of sequence uuub?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175453 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 1298?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + l - 350, -2*z = 3*l + 157. Let n = z + -1319. What is n rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/24)\/(((-2)\/(-2))\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*a - 852 - 3684 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, w: 1, g: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + -200. Suppose 0*s + 91 = 3*s + 4*q, 0 = -x*s - q + 59. Solve 2*j + 5*g + s = 0, -5*j - 3*g + 7*g + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26b867a (base 12) in base 13?\nAnswer: -179b468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -5\/2. Let n = -20.2 + 40. Let x = n + -19.9. Is q at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -348 - -494. Suppose -3*z + 2*t = -3*t - a, z = -3*t + 58. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359 - -539. Suppose -4*r - 3*v + k = -9, v = -3*r + 148. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10614951 divided by -9?\nAnswer: 1179439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3396, 3537, 3940, 4737, 6060, 8041, 10812, 14505?\nAnswer: 19252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1688 and 51294944.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 4)*(-6*f + 6 - 6)*(2*f + 5*f**3 + f**3 - 4*f**3).\nAnswer: -60*f**4 - 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/328 and 11\/1107?\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pep when three letters picked without replacement from uueetpeeeuephueu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -760. List the prime factors of i.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 + -91 + (-39 - -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s - 1. Let k(n) = 6*n**2 - 2*n - 6. What is 8*i(o) - k(o)?\nAnswer: 2*o**2 - 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/5*(675\/(-18))\/(-15) - -4. Solve 265*o = 261*o + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 t when four letters picked without replacement from {a: 2, i: 3, c: 2, t: 9}.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5904 and 9054.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -25, -43, -65, -91, -121, -155?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1334*k. Let q(n) = -15*n**2. Calculate q(r(w)).\nAnswer: -26693340*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3377 - -26885. List the prime factors of t.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747200972 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 6)*2\/(-4). Let h be (-2)\/(8\/12)*-1. Suppose -h*s - 4*c - 5 = 0, s + 0*c - 25 = y*c. Solve 3*p = -4*g + 11, s*g - 3*p - 10 + 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 5*q - 2. Let l be i(-3). Suppose l = -0*h + 5*h. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 - 4*x + 13. Let m be a(-6). Let w = 1620 + -1626. Put m, 3, -2, w in descending order.\nAnswer: 3, m, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h + 221*h**3 + h**2 - 449*h**3 + 4 + 227*h**3. Let m be (6\/2)\/(2\/(-2)). Let v be k(m). What is the highest common divisor of v and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 4*m - 5*m - 18*m**2 + 28*m**2 in the form j + k*m**2 + b*m and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d = o, 4*o - 24 = 4*d. Let b(u) = 6*u**3 - 5*u**2 + 9*u - 5. What is the units digit of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7296)\/(-146) - 12600\/(183 - -69)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/(-2))\/2)\/((-72)\/(-72))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 2*f - 89, -2*f = g - 35. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/2 + c\/2 - 28 = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 2. Let s be u(5). Suppose 5 = -4*x + s. Solve -7*m + 20 = -x*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 7*n**5\/10 + n**4\/12 - n**3\/6 - 2*n**2. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 2215*b - 2172*b + 72.\nAnswer: 43*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152488687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 224015235 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**2 - 3*z. Let c(p) = 3*p**2 - p. Let s(v) = 2*b(v) - 5*c(v). Let a(j) = -j**3 - 5*j**2 - 5*j. Determine 2*a(w) - 10*s(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l**3 - 3*l)*(-5*l + 3*l - 2 - l)*(28*l - 169*l + 18*l).\nAnswer: 369*l**5 + 246*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 2*f - 3. Let k = -1 - 2. Let b be w(k). Let t(p) = -p**2 - 12*p - 2. Let x be t(-8). Calculate the greatest common factor of b and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from cddcdcddddd?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154661.\nAnswer: 13, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1) + -1 + (-1)\/1. Let q(f) = -2*f**3 - 5*f**2 + 3*f. Is q(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 23*z - 55. Let p be c(-20). What is the second derivative of p - 96*q**5 - 1 + 3*q - 5 + 33*q**5 wrt q?\nAnswer: -1260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -178531, -178532, -178533, -178534, -178535?\n\"Answer: -l - 178530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 248*q**3 + 8*q**2 + 3*q**4 + 80*q**3 - q + 88*q**3 + q**2 + 77*q**3 as g + a*q**2 + s*q + m*q**4 + y*q**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/f**(-30) assuming f is positive.\nAnswer: f**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35205608, -70411111, -105616626, -140822159, -176027716, -211233303, -246438926, -281644591?\n\"Answer: -d**3 - 35205496*d - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 687810 and 34340.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57676583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b - 172 = -42*b. List the prime factors of (b\/4 - -2)*760\/15.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*g - 6. Which is greater: g or 14\/29?\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.47478 and -3.\nAnswer: -3.47478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 33*d + 376. Calculate m(18).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.61 + 2.26. Round v to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y + 2. Let k be u(3). Suppose k*j - 884 = -q - 175, 4*q + 714 = 5*j. Which is smaller: j or 425\/3?\nAnswer: 425\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.54 times -0.2?\nAnswer: 4.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236749, -473498, -710247, -946996, -1183745, -1420494?\n\"Answer: -236749*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -158.98974\nAnswer: 3974.7435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32059766*r + 4260414.\nAnswer: -32059766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((1 + -5)\/(-2)). Suppose i*b - 8 = b. Solve 2*k - 2 = -5*c + 12, -3*c + 4*k = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10967144000 to the nearest one million.\nAnswer: -10967000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -710, 21\/5, 4\/3?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q + 4455 = 42*q + 312*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.08 (c) 155 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 42 = 4*s, 299*s - 304*s = -5*w + 35 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448447 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 117. Calculate the remainder when 14 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*t, -t + 4*t - 3*q - 12 = 0. Suppose t*x - 4 = -3*n, -4*n - 8*x = -4*x. What is the remainder when 23 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3982 rounded to three decimal places?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 157\/4. Let x be 1 + -5 - (-8 - 3). Suppose -x = 5*s + 2*t + 13, 0 = 2*s - t + 8. Sort s, z, 0.5 in decreasing order.\nAnswer: 0.5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + n**4\/3 - 5*n**3\/6 - 38*n**2 - 1. Suppose -5*v + 2*v + 21 = 0. Determine j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -979421.90614 and -0.2.\nAnswer: -979422.10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-52)\/8) + (-50)\/(-156). Let u(i) be the third derivative of -1\/24*i**4 - 5*i**2 + 0 + y*i**3 + 0*i. What is the first derivative of u(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nooonoa. Give prob of sequence aoo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.063 and -20.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -37906*f**2 - 4*f + 1. Let d be s(-5). Let a = d - -6147629. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t + 2*w + w, -w = t - 10. Suppose -v - 4*v - 10 = 0, r + 4*v - t = 0. Let k = -10 + 19. Solve -r - k = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2315*v + 47276.\nAnswer: -2315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-4 - -9)\/5. Suppose -4*x + 2 = 2*l - 4, x - 7 = 5*l. Solve -x*o - 7 = -a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0*n**2 + 0*n**2 + 2*n**2 + 5 - 6*n**2 - n**3. Let o be k(-4). Calculate the highest common divisor of o and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsszzzzszzzzzz. Give prob of picking 1 s and 3 z.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/(-1245))\/(((-2)\/14)\/(2275\/6370))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {k: 3, n: 1, p: 1, e: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*m**2 - 402*m wrt m.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 338?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235375 divided by -1?\nAnswer: -1235375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2482, -4954, -7428, -9904, -12382, -14862?\nAnswer: -17344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.250003 + -0.25. Round k to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 161*i**2. Let f(s) be the third derivative of -s**4\/24 - 71*s**2. Give f(x(m)).\nAnswer: -161*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-57 - -44)) + (-1 - -1 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 0.06, -36\/13, -1.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15504 and 35701.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 23085*q\/2 + 9866122.\nAnswer: (q + 889)*(q + 22196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -7*s + 2*s. Let b(f) = f**3 - 4*f**2 + 2*f + 4. Let n(z) = -z**2 + 7*z - 2. Let w be n(6). What is the remainder when s is divided by b(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -192.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*h*v + 4*d**2*h + 8*d**2*v - d*v + 10*h*v + 2*v wrt h.\nAnswer: 2*d**2*v + 4*d**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h**(-6\/7)*h*h)\/h)\/h)*h**(-5\/7))\/(h\/(h**(-7)\/h)*h**(8\/5)) assuming h is positive.\nAnswer: h**(-331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/7))**(-38)\/(g\/(g*g**8))**(-5\/4) assuming g is positive.\nAnswer: g**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4\/5. Let k(i) = i**3 + 4*i**2 + 3*i + 4. Let r be k(-3). Let j be 4\/(-10) - (r + -4). Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1363 in increasing order.\nAnswer: -5, 2, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26.09, 9\/14, 2\/11 in descending order.\nAnswer: 9\/14, 2\/11, -26.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 6, u: 5}. Give prob of sequence dku.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*a - 1603. Suppose 4*g + a = -g + 5*q, -2*q + 8 = 0. Let r = g + 149. Calculate the remainder when r is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, w: 1, o: 1, n: 1}. What is prob of sequence nj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 29*o. Let a be m(1). Let f = -42 + a. Let c be f\/(-39) - (-434)\/3. Calculate the greatest common divisor of c and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 - 2?\nAnswer: -3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:13 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258 + 90. Let k = 36 - y. Calculate the common denominator of (-1)\/2*k\/14 and -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 67. What is the closest to 2 in 12, 5, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/(l**2*l)))\/l)\/l)**(-11\/9)\/(l*l*l**(-2\/5))**27)\/((l**4*l\/(l**4\/l*l*l))\/((l\/(l*l**(-4)\/l))\/l*l**7\/l)) assuming l is positive.\nAnswer: l**(-1549\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 69*p + 630 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.641, -2, 0, -14\/11, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20023 - -100?\nAnswer: -13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -56*x + 1122. Let a be f(20). Solve 4*m - 4 = -2*g, -5*g - m - 4 = a*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 1235*k - 9029. Give t(-316).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 + 1907012*f**3\/5 - 3814018*f**2\/5 + 1907008*f\/5.\nAnswer: -2*f*(f - 953504)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 15) in base 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 49, 123 in increasing order.\nAnswer: 0, 49, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7687316 months in years?\nAnswer: 0.1473943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 936*x**3 + 32*x**2 + 43*x - 203. Is y(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 13, b: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - 4\/18. Let z(a) = 2*a - 3*a + 15 + 4 - 13. Determine z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89919128573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253664 is divided by 15853?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -448 + 452. What is the smallest value in -4, -1\/10, -0.2, b, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 2, o: 1, s: 1, r: 2, a: 1}. Give prob of sequence ag.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21783 and 46854?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.066521767939+-84\nAnswer: -83.933478232061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36, -27, 32, 2, -2 in decreasing order.\nAnswer: 32, 2, -2, -4, -27, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 5*q + 4. Let x be m(6). Is (0 - 2) + -2 + 193 + x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 2. Let x(m) = -m**3 - 12*m**2 + 9*m + 12. Let c be x(y). Let v = 3045 + c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 80 = -4*g, 2*k + k = 2*g + 48. Solve 63 + 1 = k*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16047083.\nAnswer: 13, 1234391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:52 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2, -5*c - 188 = -6*c + l. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 787360.2km?\nAnswer: 787360200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -941 - -2?\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10))\/((-657)\/7300)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 10 = 3*w - 9, 0 = 3*p - w + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111\/21 + (-6)\/21. Let s(j) be the third derivative of -1\/6*j**3 + 0 - 1\/60*j**n + 1\/12*j**4 + 0*j - j**2. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 + 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-seven quarters of a microsecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*((sqrt(80) - (1 + (sqrt(80) - sqrt(80)*-1))) + -1))**2.\nAnswer: 3600*sqrt(5) + 18900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 + 3*l**2)*(140 - 3*l - 140 - 4*l**2)*(2 - 4 + 3).\nAnswer: -28*l**4 - 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 - (-80)\/(-25). Let s be 7 + 0 - -2 - d. Calculate the greatest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147844, 147825, 147802, 147775, 147744, 147709, 147670?\nAnswer: 147627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1176\/(-735)*1\/(-4))\/((-1)\/35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u. Suppose 3*g = -12, g + 136 = -u*w - w. Let y be (75\/(-20))\/(3\/w). Calculate the greatest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334231 + 2240?\nAnswer: -331441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 79, 208, 389, 622, 907, 1244?\n\"Answer: 26*r**2 - r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -1561116?\nAnswer: -1561135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221 (base 3) in base 4?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzzizumzmzzmmjz. What is prob of sequence zzj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82063?\nAnswer: 137, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54055.\nAnswer: 5, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -504*i + 10336 + 2264 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -42, 4, -2\/7, 4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 7. What is a(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-2\/19)))\/t**(1\/17) assuming t is positive.\nAnswer: t**(-53\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -24*l - 6. Let h = 289\/228 - 1\/57. Which is the closest to l? (a) 2 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70879462 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-246)\/(-54) + 24\/54. Let z = 7 - 11. Let o = 2 - 1.8. Which is the second smallest value? (a) z (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 4\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 3*a**5\/20 + 15*a**2. Let j(b) = -4*b + 4*b - b**2. Calculate m(j(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from qxiqqqiqqq.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77\/23 + 31777\/92. Let b = g + -364. Let u = 69163\/88920 + -1\/29640. Calculate the common denominator of u and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3745*g**2. Let j(a) = -a**2. Determine j(p(x)).\nAnswer: -14025025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(147) + -4)*-1.\nAnswer: 4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f + 2. Let o be t(6). Suppose i - 19 = -4*r, -3*i + 8*r + 29 = 13*r. What is the units digit of (0\/i)\/o - -130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.055 - 16.479353.\nAnswer: -17.534353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/9 - 38*s**3\/9 - 344*s**2\/3 - 728*s - 1440 = 0.\nAnswer: -6, -5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from vvvrrrrrvrrvvv?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2 - 13*j - 3 - 8*j. Let x(g) = -g**2 - g + 20. What is the remainder when q(-4) is divided by x(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**6 + 0*q + 0*q**5 - 1\/2520*q**7 - 2 + 0*q**4 + 1\/3*q**3 + 0*q**2. Let r(l) be the third derivative of g(l). Factor r(s).\nAnswer: -s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**3\/7 - 144*t**2\/7 - 2056*t\/7 - 864 = 0.\nAnswer: -54, -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Let u be 7\/14*2*2. Solve 3*s - u*t + p*t = 19, 3*t - 14 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1*2 - sqrt(72))\/sqrt(9))\/(1*(sqrt(196) - 3*sqrt(196)) - sqrt(196)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 138.3 times -0.3\nAnswer: -41.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13. Solve h = -5*c - 16, h - 3*c - 8 = -s*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -157741528 divided by -7?\nAnswer: 22534504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12103734*k - 2603893 wrt k?\nAnswer: -12103734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 5*c - 0*c + 5*q, -2*c + 29*q + 19275 - 19369 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2527 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/9 + (-1)\/(-3). Suppose -4*x = -2*n - 0*x - 12, 0 = 5*n - 2*x - 10. Solve -5*r - 12 = 4*s - 3*r, -12 = n*s + o*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(8)\/sqrt(2)) - (sqrt(19) + -2 + (2*sqrt(19))**2).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 206?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {g: 7, b: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 9*q + 11. Let g = -48 - -53. Let x(z) = -g - 35*z**2 + 20*z**2 - 4*z + 16*z**2. Give 2*k(t) + 5*x(t).\nAnswer: -t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*d - 424 wrt d.\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25477344.\nAnswer: 2, 3, 88463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42418153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + -2 - (1 - 17)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36626, -1 in increasing order.\nAnswer: -36626, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15912 + -15882. What is the greatest common divisor of g and 4845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*v - 271*v + 23 = 0, 3*r - 276 = -12*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 32.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42700.\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398165 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -472.\nAnswer: 13\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let k(b) = -2*b**2 + 6. Let y(x) = -2*x**2 + 5. Let q(h) = 5*k(h) - 6*y(h). Give c(q(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 80*v**2 + 181*v - 8280. Determine w(79).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 5*o - 24. Suppose -o = -5*r - 1. Is (-3)\/r - (-6204)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0.5. Let w = t + -2.5044. What is w rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 2, k: 2}. What is prob of sequence tcck?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x\/(x**(-9)\/x)*x)\/x)*x*x)\/x**(3\/2))**19\/((x**4\/x**4)\/(x**7\/x*x**(-4))) assuming x is positive.\nAnswer: x**(-433\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -32 - 8*o**5 - 3*o**3 + 5*o**5 - 57*o**2 + 18*o**4 + 9*o**2 + 33*o**3 - 99*o - 10 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + -0.25. Let q be (-5)\/10*-1*(-11)\/22*2. What is the biggest value in q, m, 1\/3, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-3 + 2 + 0). Which is the closest to t? (a) 0.3 (b) 1.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*s - 75*s - 149*s to the form d + h*s and give h.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13473820 and 14743.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8896 and 10?\nAnswer: 44480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c + 3. Let d(x) = 2*x - 1. Let j(r) = 2*r - 2. Let s(a) = -4*d(a) + j(a). Calculate -7*s(v) + 5*z(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y)**(-27\/7))**(-2\/27) assuming y is positive.\nAnswer: y**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 = 101\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-3)\/((-48)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 10*s - 32. Give o(6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*j - 22 = -66*j. Sort j, -3, -25, 5.\nAnswer: -25, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 9*j**2 + j - 4. Let g(f) = -f**3 - 10*f**2 + f - 1. Give 2*g(n) - 3*h(n).\nAnswer: n**3 + 7*n**2 - n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**4 - 317*a**3\/2 - 352*a**2 - 94*a + 48 = 0. Calculate a.\nAnswer: -24, -2, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 40 = -s - 6*u, 132 = 5*s + 3*u. Which is the nearest to -0.1? (a) 0.5 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*w - 434, 5*w = 5*u + 10*w - 1105. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-13 + (5 + -11 - -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 789. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*k, -k - 2*m + 6 = -4*m. Solve q = -q + k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*b - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-307.\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/84*424\/(-12) and 4 + 4\/((-200)\/(-305)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105270154425 - 0.4\nAnswer: 105270154424.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346 - 343. Put -5, -0.3, b, -0.4 in ascending order.\nAnswer: -5, -0.4, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2\/25, 4, -7\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4))\/5*(-14)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g + 14*g = 55709 + 2485. What is the greatest common factor of g and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782018 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -17a90?\nAnswer: 17a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -760 + 772. Solve 6*c - p = -6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/(4\/(-104)). Calculate the highest common factor of d and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36\/23 + -64\/253. What is the third smallest value in -2, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmuhhmh. Give prob of picking 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542601, -542321, -542041, -541761, -541481?\nAnswer: -541201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001010000111000110010 (base 2) in base 3?\nAnswer: -110110110201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11395990?\nAnswer: 2, 5, 617, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 - 29*y + 200. Let n be s(5). Suppose -2*w + 400 = 3*w. What is the highest common divisor of w and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 31, 3, 1, 2\/3, -3\/4 in ascending order.\nAnswer: -55, -3\/4, 2\/3, 1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -21\/2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529836874 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 44768*s + 32342052.\nAnswer: -4*(s - 11873)*(s + 681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 9 - (5 + -10)) + 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9.1. What is the second biggest value in 0.3, h, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + d + 0 = 4*d + 44, -s + d + 18 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3000211, -3000205, -3000199?\nAnswer: -3000193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from rgtgxrc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*n = -2409 + 2448, -4*l + 2*n = 28 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*f - 26 - 22 = -240*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*f = 2*d - 7, 2*d = f + 8. Let h(b) = -2*b - 5. Let n be h(-4). Let t(u) = n*u + 0*u - 2*u - 6. Give t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/35)*m*m*m**15)\/((m\/m**(2\/13))\/m)**(-40) assuming m is positive.\nAnswer: m**(4909\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.5, 10, 3\/4 in descending order.\nAnswer: 17, 10, 3\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c - 17*c = c. Solve 52*w - 53*w + 6 = c for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 2*q. What is the least common multiple of 14 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124588?\nAnswer: 2, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*m = -88, -m = -2*h + h + 20. Suppose -h = -6*f - 102. Let c(i) = 2*i**2 - 13. Let v(j) = -j**2 + 6. Determine f*v(d) - 6*c(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {q: 1, e: 1, w: 3, t: 2, z: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*v + 117*v - 238*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8.965010795+-736\nAnswer: -727.034989205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 28?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4240 - 15472 = -32*q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/11)\/z)\/(z*z*z**(2\/9)*z))**(1\/27) assuming z is positive.\nAnswer: z**(-427\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - k - 5, -2*u + 2*k + 3*k + 16 = 0. What is the first derivative of 4 - 4 - 2 - u + 20*f**3 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 70. Solve 4*x + 6 = v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 133134?\nAnswer: -133144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*r**2 + 1\/2*r.\nAnswer: r*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*x = -108*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92106 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 29277560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, k: 5, w: 1}. Give prob of sequence kkpp.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -28\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3)\/(4\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*k + 82*k**5 + 26637*k**4 - 26637*k**4 + 88*k**5 + (-2*k**3 - k**4 + 2*k**3)*(-k - k + 4*k).\nAnswer: 168*k**5 - 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28410536 divided by 7\nAnswer: 4058648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 36*d - 5. Let m(h) = 81*h - 26*h - 23*h - 31*h. What is a(m(i))?\nAnswer: 36*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11331598.597755\nAnswer: 11331586.597755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 43 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 46*p = 1017, -608*n - 91 = -603*n - 3*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -36929 = -36930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2526 - -2534. What is the highest common factor of u and 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 60200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83727912 divided by -151681\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*g - 3 - 2, -2*o = 6. Suppose -b - 12 = 4*y - 6*b, -5*b = g*y - 28. Suppose 0 = -3*a - y*j + 46, a - 8 = 2*a - 4*j. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50028754?\nAnswer: 2, 1699, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + m - 17 - 487, 0 = 2*l + m - 254. Suppose -k = 5*d - 0*k - l, -4*d + 100 = -2*k. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/17)*t))\/t**(-13) assuming t is positive.\nAnswer: t**(219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + 11*m - 20. Is l(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-234)*(-11)\/77?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 - 4 = 0, 0 = d + 5*w - 30. Suppose -5*h = 0, -2*p + d = -3*h + 6*h. Solve 2*b + 3*b - p = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:21 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156077.6 meters to millimeters.\nAnswer: 156077600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.44, 2\/15, -85\/22, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummummmmuumuumm. What is prob of picking 1 m and 2 u?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -0.1. Let w = -0.14 + -0.1. Let x = s + w. Round x to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 10, 42*g - d = 44*g - 967. Solve -u - g = -480 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -8. Suppose -n + m + 5 = i*m, -4*n + 3*m + 20 = 0. Solve 2*w = -5 - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22055.05 + -22055. What is the third biggest value in 2\/5, i, -1\/4, -3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let s(m) = m. Let p be 46\/14 - (-8)\/(-28). What is p*s(u) + 2*v(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1158 - 8131\/7. Let l = m - -131\/21. Let 10*t**3 - 7\/3*t**4 + l*t + 0 - 12*t**2 = 0. Calculate t.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiniiiinii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1996\/(-8)*((-12 - -2) + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35744063 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 2*s**2 + 3*s + 2. Let k be j(-3). Let q(t) = -15*t**2 - t. Let m be q(k). Is 6 a factor of (-2)\/6 - m\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43556167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3828.3 + 3826.3. Which is the nearest to -0.1? (a) q (b) -4\/5 (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/119 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260.31 - -262. Let g = 1.79 - k. Put -11, 2\/13, g in increasing order.\nAnswer: -11, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -164*r - 4. Let o be s(-5). Suppose 4*l + 4*m = o, 582 = l + 2*l - 3*m. What is l rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17116 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3\/3 + 3*c**2 + 2*c. Let x be i(6). Let f(l) = -2*l + 2. Let t(z) = -5*z + 5. Let r(h) = 7*f(h) - 3*t(h). Give r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 + b**2 + 4*b - 9. What are the prime factors of q(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 19. Suppose 3*f - 3*a = 22 + d, 4*f - 5*a = 57. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let l = -88644 + 445158\/5. Let h = l + -389. Is u smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190412532?\nAnswer: 2, 29, 41, 229, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**4\/4 - w**3 - 9*w**2\/2 - 2*w. Factor c(v).\nAnswer: 3*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by ((-214)\/(-3))\/2 - 2\/(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 1\/12*a**6 - 7 + 1\/4*a**2 + 1\/2*a - 1\/4*a**4 - 1\/3*a**3 + 1\/10*a**5. Factor c(q).\nAnswer: (q - 1)**2*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 0.0857\nAnswer: 0.09427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j - 1. Let m(c) = 20*c**3 + 5*c**2 + 2*c - 2. Let b(t) = -m(t) + 2*u(t). What is the third derivative of b(z) wrt z?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 - 5*b - 7. Suppose 9 = a + g, -3*a - 2*g + 25 = -g. Let c(i) = -i**3 + 9*i**2 - 7*i - 3. Let k be c(a). What is o(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -629*h**6\/20 - 811*h**3\/2 + 1747*h**2. Find the first derivative of j(n) wrt n.\nAnswer: -11322*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j. Suppose 121 = 3*q - q - r, 4*r + 20 = j. Suppose 2*n = 3*n - q. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 51, 1.313, 0, 1?\nAnswer: 1.313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - f**3\/3 - f**2 - f - 1. Let q = -1 + 4. Let w be ((-4)\/(-8))\/(q\/(-6)). Give y(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(720) - (sqrt(720) - (sqrt(720) + (2 + sqrt(720) + sqrt(720) + -3 - sqrt(720)))))*4 + -1))**2.\nAnswer: -960*sqrt(5) + 46105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - -97 - (-2 + 1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1746*c**2*r**3 + 11*c**2*r**2 - c**2*r + 13*c**2 + 6*c*r + 19009*r**4 - 9*r - 2 wrt r?\nAnswer: 10476*c**2 + 456216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - i - 36. Let j be m(-6). Let x = j + -74. Solve -r - x*r = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 15, 15 - 4 = -2*r - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 274*c**3 + 157*c - 1.\nAnswer: -12*c**2 + 1644*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23818 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: What is 0.3 times -0.803?\nAnswer: -0.2409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 5. Let w(f) = 2*f + 8. Let n be w(0). Suppose 0 = -6*h + 4*h + n. Calculate b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**2 - 171*m + 476. What is k(13)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*p**5 - p**2 - 4 - 11*p + p + 5*p**4 - 6*p + 41*p**3 + 0 = 0. What is p?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7678\/5*z - 2\/5*z**3 - 3842\/5*z**2 - 3838\/5.\nAnswer: -2*(z + 1)**2*(z + 1919)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2367 - -745606\/315. Let b(q) be the third derivative of 0*q**3 + 0 + 0*q + 0*q**6 - x*q**7 - 1\/1008*q**8 + 3*q**2 + 1\/90*q**5 + 1\/72*q**4. Factor b(m).\nAnswer: -m*(m - 1)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31712 and 19744?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9457 - 9457.064896. Round r to 4 decimal places.\nAnswer: -0.0649","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(26\/(-52)). Let m be (f\/4 - (-7)\/28)\/(-3). Is m > 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-40)\/(-14))\/((-48)\/21).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 36. Calculate the least common multiple of 12\/60 + (0 - (-178)\/10) and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.91 + -3.22. Round g to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.95 - 7.95. Which is the nearest to -6? (a) 1\/5 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -42*x**5\/19 + 1711372*x**4\/19 - 13607478*x**3\/19 + 26561764*x**2\/19 + 2607360*x\/19 - 2607296\/19 = 0?\nAnswer: -1\/3, 2\/7, 4, 40739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 v when three letters picked without replacement from eeqevvsaerev?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11951 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 110*p**2 - 4*p - 161. Let q be v(-55). Which is smaller: 82 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873586221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 856733341*q**5 + 914379456*q**2.\nAnswer: 51404000460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-64)\/(-78) + (-66)\/429)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*a + 38. Let m = 170 + -190. Let y = a - m. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11004.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*b - 30*b**3 - 26*b - 37*b + (2*b + 2*b**2 - 2*b)*(-b - 3*b + 2*b) as z + i*b**2 + r*b**3 + d*b and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and 109\/636.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggeg when four letters picked without replacement from egeegeeqegeggge?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 - 7275*q + 215550 = 0?\nAnswer: 30, 2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.128 - -3. Let h = 0.072 - p. Let z be 2\/4*(-8)\/(-26). Which is the nearest to -0.1? (a) 0.1 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + 14\/63. Suppose 15 = 2*q - z - 5, n = -q - 5*z + 10. Suppose 8 = -q*y + 778. What is the greatest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, 0.76, -412.1, 2\/23 in decreasing order.\nAnswer: 0.76, 0.4, 2\/23, -3, -412.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*u**3 + 640*u**2 - 260*u = 0.\nAnswer: -2, 0, 26\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(-97 + 97 + 167*h)*(-1 + 0 + 3).\nAnswer: 334*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 = -3*b, 5*a = -6*b + 4*b + 36. Suppose r = a*r. Suppose r - 1\/2*w**4 - w**3 + 0*w - 1\/2*w**2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597079 divided by -6?\nAnswer: -3597079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 - 1618. Let a = j + 5043. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52\/9 (b) 9\/4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 2\/39*l**3 - 7*l + 0 + 0*l**2 - 1\/78*l**4. Factor o(j).\nAnswer: -2*j*(j - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 1. Let i be (-8)\/y*(-2)\/8. Let l be (17\/(-4) - -4)*9. Put l, i, -1 in increasing order.\nAnswer: l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 8*g + 2. Let b(c) = -3*c**2 + 7*c + 1. Let l(k) = -5*b(k) + 4*w(k). Is 7 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(1944)\/sqrt(2) + -1 + -3 + sqrt(12) + 6*(-1*sqrt(1452) + -3))**2.\nAnswer: 4840*sqrt(3) + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56683050 and 2850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*h - 0. Let m = -8 + h. Does 5 divide 0 + (m + -1)*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.3 (c) 2\/271 (d) -0.4 (e) -16.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1 + 2*d - 2 - 6*d**2 + 8*d**2 - d**3. Let s(q) be the first derivative of q**4\/4 - q**3\/3 - q**2\/2 + q + 2. What is a(u) + 2*s(u)?\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*m + 44. Suppose 183 = m*n - 332. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002230037 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:02 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4667530577?\nAnswer: 4667530577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2949089 is divided by 2638.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h**3 - 15*h + 15*h)*(-1 - 1 + 1) - 3*h**3 - 2*h**2 + 2*h**2)*(-2 - 1 + 1) + (2*h - h - 11*h)*(3*h**2 - 2*h**2 - 2*h**2).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 532, 800, 1070, 1342, 1616, 1892?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 5. Let g = -80 - -79.8. Let z = -4 + 3.6. What is the nearest to g in z, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from {p: 1, z: 2, t: 1, r: 2, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102910241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735186344?\nAnswer: 2, 91898293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7690 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1702.9 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.312 - 246.312. Let v = -245.9 - q. Sort -8, v, 2\/9, -5 in decreasing order.\nAnswer: 2\/9, v, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k**2 - 4*k - 7. Suppose -5*w - 1 = 3*f, 5 = -4*f - w + 15. Does 8 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*a + 16, 5*l + 8 = -2*a + 4*a. Suppose v - 214 + 27 = l. Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527184.5um to kilometers.\nAnswer: 0.0005271845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (2 + 12 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 134688 (base 10) to base 4\nAnswer: 200320200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -3 - -3) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14912 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 - 2*d + 4. Let u be l(-3). Let g(y) = 0*y - 3*y + 5 + 2*y. Is g(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36500151 is divided by 35437?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - -5?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-13 + 8 - 12)*(0 + 0 - 2*d)*(0*d**2 - 2 + 0*d**2 + d**3).\nAnswer: -68*d**4 + 136*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*r - 9110 = 6160 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 1. Let p be g(-4). Let j be (p\/6 - 1)*4. What are the prime factors of (-2)\/4*(-20)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24521801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 85978*f - 85975*f + 44, -f - 2*f = 9 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29430\/(-2289)*(-10220)\/(-6). What is v rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7530205 and 5069?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvumhn. What is prob of sequence um?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 2\/25, 2.95 in decreasing order.\nAnswer: 138, 2.95, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0216 - -36.2784. Let j = 0.029 - 25.029. Let n = y + j. Round n to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*q - 490*q - 1888 = -245*q. Which is smaller: q or 1414\/3?\nAnswer: 1414\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 995.4903 + -184.3437. Let u = i - 811. Round u to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 214, 471, 824, 1273, 1818?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 17300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 3*g**3 + 23*g**3 - 12*g**3 - g**3. What is k(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 - 19*p**2 + 18*p + 8. Let k(w) = -3*w**3 - 9*w**2 + 8*w + 4. What is 4*b(v) - 9*k(v)?\nAnswer: 3*v**3 + 5*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 9*j + 52. Let z be l(-4). Solve -3*p + z*b - 3*b + 15 = 0, -16 = -5*p - 2*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, 1 z, and 1 x when four letters picked without replacement from {a: 6, f: 1, z: 2, o: 3, x: 1, v: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -53. Let m = 1 - f. Let n = 36.3 + m. Put n, 8, 3 in increasing order.\nAnswer: n, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(612))**2 + 5.\nAnswer: 12*sqrt(17) + 619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 - 191.343. Let d = -0.043 - w. Which is the closest to -0.1? (a) -2 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 + -310. Suppose 2*q = 2, 2*q + 32 = 3*x + q. Calculate the lowest common multiple of 8 and h\/2*220\/x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 46 - -74?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2123*u*x**2 + 23656*u*x - 181768695*u + 2*x**2 wrt x?\nAnswer: 4246*u*x + 23656*u + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1963\/5 - -14526\/35. Let p = -23 + l. What is the smallest value in 1, 2\/5, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*r - 52, -356*r + 12*i - 10 = -352*r - 6 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123023?\nAnswer: 43, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 351 in decreasing order.\nAnswer: 351, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 55 = 2*m, 0*i = 11*i - 8*m - 8 + 225 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231.55 + 241. Let t = g - 10.7098. Let q = 1.27 + t. What is q rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**4\/2 - 5*u**2\/2 + 31*u + 56. What is the derivative of x(j) wrt j?\nAnswer: -18*j**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 71. Let a = 4 + -2. Solve -a = r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 58*x**2 + 21476*x - 15579. Calculate k(-371).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from wwqqqqqqqwwqqw.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 18388032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b61 (base 12) in base 2?\nAnswer: 10000101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -399.95952 + -0.04048. Which is smaller: q or 7\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwlvlvvlwl. Give prob of sequence vwvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q + 15 = 0. Suppose -1 = -4*d + q. Let g(c) = c + 1. Let b(m) = 2*m**2 - 8*m - 8. Determine d*b(r) + 8*g(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*656\/410*(-1)\/(-22)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.94 to 0 decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 73\/6 - (-9 + -1)\/(-60). Suppose -2*b + i + l = 0, -12*b + 7*b + 30 = 2*i. Solve -3*a + b = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/(-14))\/(2\/(8\/(-4))). Suppose 0 = -o*j - 44 + 54. Solve 0 = -2*q + j*z + 21, -q + 4*z = -9 - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let m(z) = -23*z**2 - 4*z + 2. Let p(s) = 275*s**2 + 50*s - 25. Let t(f) = -25*m(f) - 2*p(f). Calculate b(t(u)).\nAnswer: -625*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -18. Calculate the remainder when 57 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162314, 162296, 162258, 162200, 162122?\nAnswer: 162024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 8. Let c be v(-6). Suppose -4*g = -c*g - 168. List the prime factors of (-1)\/7 + 3624\/g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*-8*(-1 - -2). Suppose 2 = -4*i - 2*z, i + 0*z - b = 5*z. Is 0 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.23 - -84.96. Let f = q + 0.27. Let m = 61.00279 - f. Round m to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 26 = 3*o - l, -3*l + 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16 and 19\/104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 65 (b) 0.072 (c) -1 (d) -7 (e) -0.5 (f) -2\/19 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1654*d + 46298. Give l(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703299.3kg to nanograms.\nAnswer: 703299300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -38*g + 1. Suppose 0 = 3*c + 3 + 3. Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 95*l + 37*l.\nAnswer: 153*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*n**2 - 97 + 25 - n**4 + 24 - 2*n**4.\nAnswer: -3*(n - 2)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = -s + 5, -v + 5*s = 25. Solve -2*y + 0*t = 3*t - 7, v = -y - 2*t + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 285, -3 in increasing order.\nAnswer: -3, 2, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27\/2 + 456*t**4 - 96*t**5 - 339\/2*t**3 - 441\/2*t - 1857\/2*t**2 = 0. What is t?\nAnswer: -1, -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/5))**(2\/103)*(l**(2\/5))**(8\/11)*(l*(l*l**5)\/l*l**(3\/2))\/(l**(-2\/5)*l*l\/((((l**(4\/9)\/l)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(271499\/101970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(sqrt(153) + -1 + sqrt(153)))**2 + (sqrt(153) + -1)*-3 + sqrt(153) + -1.\nAnswer: -58846 + 1146*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.66.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21109 divided by -209\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttyyytttttyttytyt. Give prob of sequence yyt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13168 and 208.\nAnswer: 171184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/7 (b) -2.816 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 237148 and -17.\nAnswer: -4031516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) 1 (d) -855 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -735 - -739. Solve -38*b + 36*b = m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*w - 166*w - 679*w - 637*w + 2119*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3)\/h))\/h)**22\/(h**(2\/41)\/(h\/h**17)) assuming h is positive.\nAnswer: h**(2950\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 - l + 3. Determine x(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 8*j + j)*(-3*j + 2*j**2 - 3 + 3*j).\nAnswer: -10*j**3 + 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -5. Let a(q) = 8*q**2 + 2*q - 7. Let u be a(-3). Let d(r) = 0*r**2 + 8 + r**2 + 53*r - 2*r**2 - u*r. Determine d(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 4, p: 1, z: 1, v: 4, d: 1}. What is prob of sequence nved?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5) + -10 - -4 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((219\/365)\/((-159)\/5))\/(1*(-1)\/1).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -aa?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -acf?\nAnswer: ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2))\/(6413\/(-3498))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - z - 5. Let g(a) = -3*a**3 - 1595*a**2 + 6*a + 30. Calculate g(k) + 6*x(k).\nAnswer: 3*k**3 - 1613*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1267064 and -19\/12?\nAnswer: 3801192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 4*g, 3*g = 2*s + 5*g - 4. Factor -4*h**s - 3*h**3 - 9*h**5 - 15*h**4 + 7*h**2 + 0*h**2.\nAnswer: -3*h**2*(h + 1)**2*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.96203 kilograms?\nAnswer: 962030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 16 = -4*m, -5*m + f + 11 = 5*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -332, 3, -23 in descending order.\nAnswer: 5, 3, -23, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 d, and 1 c when four letters picked without replacement from {c: 10, d: 2, s: 3, h: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 2)**2 + sqrt(1331) + 3*sqrt(1331).\nAnswer: 68*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1 + 39 + (4 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 89.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = i + 5, i + 4*i - 20 = 0. Suppose -x*u + 0 + 6 = 0. What is the first derivative of -s**2 + 4*s**3 + s**2 + u wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -258, 5.\nAnswer: -258, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) 1.7 (b) -2 (c) 2\/3 (d) -0.3 (e) -168\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*l - 57*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*q + 96, -g - 18*q + 75 = -17*q. Solve 0 = g*c - 74*c - 36 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 45*b + 46 + 92 - 35*b.\nAnswer: b**2 + 10*b + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 12. Suppose p*i + 12 = 52. Let g be 3\/(-3)*1 - -2. Which is the second biggest value? (a) i (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 4. Let b(d) = -2*d**2 + 24. Let r(s) = 12. Let i(w) = 5*b(w) - 10*r(w). Determine z(i(g)).\nAnswer: -60*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.1 + -2.1. Let i = 10 - v. Let d = 2 + i. Which is the third smallest value? (a) 0.2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 68?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -14. Let m(n) = -4*n**3 - 5*n + 8. Suppose -5*x + 22 = k, k + 2*x - 2 = 17. Let q(y) = y**3 - k + y**3 + 11*y + 7*y**3. What is c*m(h) - 6*q(h)?\nAnswer: -2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/4)*d)**(1\/5)\/((d\/((d**(-3\/5)*d)\/d*d))\/d**(1\/3)) assuming d is positive.\nAnswer: d**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*0.03864\nAnswer: 0.0061824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*i + 12449 - 78053 = -1147*i for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/15 + 344*u\/15 - 2624\/15 = 0. What is u?\nAnswer: 8, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1073900389 to three dps.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 830549056 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -46596*s - 2003634. What is d(-43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.222 - -4.222. Which is the closest to -1? (a) 2\/3 (b) -6\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121.67 - -121.7. Which is the fourth smallest value? (a) x (b) -10 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 41 = 11. Does 29 divide (-2029)\/(-5) - 1\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61461, -61453, -61443, -61431, -61417, -61401, -61383?\n\"Answer: m**2 + 5*m - 61467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 + 9*i + 2. Let f(o) = -o**3 + 4*o**2 + 3*o + 14. Let k be f(5). Let w be l(k). Sort -1, w, 2 in ascending order.\nAnswer: w, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -102. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -77, -103, -129?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 + b**3 - 6*b - b + 2 + 2. Let u be t(-10). Let q = 371 + u. Does 32 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2677 take away -33911375638?\nAnswer: 33911375639.2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = -202. Let o = g - -2001\/20. Find the common denominator of o and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -490*y**4 + 3*y**2 - 99*y + 9689502.\nAnswer: -1960*y**3 + 6*y - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22737427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -395*(5*(6 + -4))\/(-1). Round r to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 32 = -12. Let k = i + 0. Let y be (13 - 14)\/(2\/k). Solve s + s + y*m = -12, 3*m + 15 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4\/2 + 45*f**3\/2 - 105*f**2\/2 + 95*f\/2 - 15 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -x + 4*a, 25*a = 3*x + 20*a - 36. Let r be 4 - (0 - 4\/2). Let k be ((-6)\/1)\/(r\/(-3)). Solve k*q - x = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 5*n**2 - 5*n + 4. Let p be r(6). Suppose p = x + x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90.63 or -144\/11?\nAnswer: -90.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26972913 and 92796.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 375*u**5 - 2225*u**4 + 3065*u**3 - 495*u**2 - 640*u - 80 = 0. What is u?\nAnswer: -1\/5, 1, 4\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-33))\/(-10 + 2197955\/219795). Which is greater: k or -14652?\nAnswer: -14652","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74851.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/((s**13\/s*s)\/s)*s))\/(s**8*s))**10*(s**(13\/2)\/s*s\/s**(-2\/7))**(-12) assuming s is positive.\nAnswer: s**(-500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + c + 3*c)*(c - 2*c - c**2 + 6*c)*(3 + 1 - 2).\nAnswer: 12*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14)*668\/758848?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1038 - 63320\/61. Let m = 193\/305 + y. What is the nearest to 2\/7 in 2, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021200 - -1002011100?\nAnswer: 222212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:03 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41954646 and 20977323?\nAnswer: 41954646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - (-3 - -6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 29*t - 80. Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91, -98, -101, -94, -71?\n\"Answer: o**3 - 4*o**2 - 2*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -4.809, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/332?\nAnswer: 1\/332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1260) - sqrt(1260)*-2) - sqrt(1260))\/((-6*2*sqrt(35))\/sqrt(7))*-6.\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*2\/(-2)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0 - 2\/9*m**2 - 4\/9*m + 2\/9*m**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388940 is divided by 4742?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*y - c = -8, 0 = 2*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 18. Suppose 4 = 24*j - z*j. Let g(l) = -3*l**2 - 3*l - 3. What is g(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 10*v + 186 = 0. Let i(d) be the second derivative of 1\/9*d**4 + 8\/9*d**3 + d - 4\/3*d**2 - 1\/20*d**v - 1\/5*d**5 + 0. Let i(a) = 0. What is a?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19229 + 22781 = 74*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1220519 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnq when three letters picked without replacement from nnnnnnnnnnqqn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wymmsmwwymqyayw. Give prob of sequence ws.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from sxoogso?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 437b4 (base 14) to base 4\nAnswer: 213321202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30625)\/19250)\/((-45)\/(-9))?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -5, 369\/2, -2.3 in decreasing order.\nAnswer: 369\/2, 4, -0.3, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 10:19 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:54 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79\/16 + 217\/32. Find the common denominator of l and (-134)\/8*3\/18.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 124*o + 880.\nAnswer: 4*(o + 11)*(o + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofdfofoom. What is prob of sequence ff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31555 divided by 37?\nAnswer: -31555\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*18\/120*26\/3. Let f be 1 + (0 - (-79)\/20). Let o = f + v. Are o and -4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 11, 1, -5?\n\"Answer: 2*t**2 - 20*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**5 + 2*z**4 + 2*z**2 + 2*z - 2. Let t(w) = 10*w**5 + 7*w**4 + 7*w**2 + 7*w - 7. Let v(x) = -21*s(x) + 6*t(x). Factor v(r).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -440110*g**2 + 110*g - 110. Let l(p) = p**2 - p + 1. Let x(f) = 550*l(f) + 5*u(f). Let n be x(3). What is n rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06514 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 2006525.\nAnswer: 2006533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**3 + 8*l**3 - 22*l**3)*(-l - 3*l + 2*l) + 3*l**4 + 0*l**4 - 2*l**4.\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*i + 1067 + 1186 = 1322 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 413*j + 2924. Give f(-8).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -50*c**2 + 10*c + 56. Let l(q) = 20*q**2 - 4*q - 22. Let v(x) = -5*g(x) - 12*l(x). Find the second derivative of v(a) wrt a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377238\/7393 <= 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47 - -0.53. Let i be 14\/(-88)*-4*(-2)\/(-14). Sort i, 2, q, 0.01 in ascending order.\nAnswer: 0.01, i, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/367 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4 + 4)*(4*c**2 - 4*c**2 - c**2) + (0 + 0 - c**2)*(0 - 2*c + 0) + 2*c**3 - c + c - 2 + 2 - 2*c**3 + 100*c**3 - 9000 + 9000.\nAnswer: 103*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*v**2 + 20*v**2 + 4*v**5 - 2*v**5 + (3*v**2 - 4*v**2 - v**2)*(0*v + 0*v - 2*v**3).\nAnswer: 6*v**5 - 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o**2 - 8*o + 11. Let m be 51*(4 + 22\/(-6)). Let x(r) be the third derivative of -r**5\/12 + r**4\/8 - 2*r**3\/3 + r**2. Give m*x(j) + 6*y(j).\nAnswer: -j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/10)\/(-108)*(432\/128)\/(3\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose -8 = -4*d + 12. Suppose o = -d*j - 25, -m - 3*j + 620 = 4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 3. Let o be j(-4). Let a(l) = -31*l - 6. Let d be a(o). Let c = -112 - d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.53. What is the second smallest value in -5, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150777, -147495, -144213?\n\"Answer: 3282*i - 154059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 159393?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -1. Let j = -143 + 137. Is j + d - (-134 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192079 is divided by 3148?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a. Suppose -321*r = -317*r - 4. Let t be 0\/(3\/1 - 4) + 1. Let x(s) = s. Give r*g(o) + t*x(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -49813?\nAnswer: -49796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u - 2. What is the tens digit of c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-21 - -23). Solve 2*a + k*u = 11, a - 16 = -3*a - 4*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1 - (-61 - -68 - (26 + -2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**4 - q**3 - q**2 + q + 2. Let w(n) = -97*n**4 - 2*n**3 - 2*n**2 + 2*n + 61. Let p(j) = -2*d(j) + w(j). What is the derivative of p(m) wrt m?\nAnswer: -380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -493, -3145, -9743, -22069, -41905, -71033, -111235?\n\"Answer: -297*r**3 - 191*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 4688*a**2 - a - 3269*a**2 to y + b*a + m*a**2 and give m.\nAnswer: 1419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 3. Let x be (21\/(-9) - n)\/2. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(-10)\/y*y)))\/y**(3\/5))\/(y**(8\/5)\/y*y*((y**(1\/8)*y)\/y)\/y*y))**19 assuming y is positive.\nAnswer: y**(-9367\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 23*a + 61. Give s(12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + sqrt(21)\/(sqrt(27) + sqrt(135)\/sqrt(5)) + 5)*4)**2.\nAnswer: 192*sqrt(7) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(208) + 1 + sqrt(208) - (sqrt(208) - (1 + sqrt(208) + 3)))*2 + 2)**2.\nAnswer: 9600*sqrt(13) + 122308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52\/231 + -2\/33. Let w = -0.02 - -3.02. Let y = w - 2.8. Which is the third smallest value? (a) 1 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 25 - 18 = -l - 2*f, 3*l + 2*f = 7*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-35) - (-38709)\/(-111090) - (-68)\/(-680)?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 2*p + 4, -4 = 14053*w - 14031*w - 2*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 53 + 45 = 0. Sort -3, c, 4 in descending order.\nAnswer: 4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32456523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6c7c (base 13) to base 10\nAnswer: 15313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17764 is divided by 1968.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 69*n**2 + 12*n + 786. Let i be r(-69). Which is the second smallest value? (a) i (b) -0.3 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -89*v + 27. Let t(r) = -90*r + 23. Give 5*i(f) - 6*t(f).\nAnswer: 95*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 1 - 5 + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 13664 = 5884. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45088 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 29*t**2 + 319*t - 12. What is d(-10)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681495.6 centimeters in millimeters?\nAnswer: 6814956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01580082 rounded to four dps?\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/13 (b) -4 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 12.1, 5, -0.129?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 281, 276, 269, 260, 249, 236?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404639 is divided by 84.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044170 rounded to the nearest ten thousand?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 0.32 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 - 9*r - 13. Let n = -63 - -65. Let h(p) = 65*p + 5 - 31*p + 2 + 4*p**n - 29*p. Give 6*d(g) + 11*h(g).\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**3 - 565*c**2 - 46*c + 61. What is i(-47)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8808 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 - 22*b**4 + 46*b**3 + 22*b**2 - 48*b = 0. What is b?\nAnswer: -1, 0, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2439, -4952, -7531, -10176, -12887?\nAnswer: -15664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -102, -1, 3, -6629 in ascending order.\nAnswer: -6629, -102, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o = -20. Let r = -13 + 38. What is the greatest common factor of r and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*n - 26, -q - 2*n - 3*n = -2. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4\/7 + 1294*a**3 - 2621994*a**2\/7 - 1324926*a - 3980610\/7 = 0.\nAnswer: -3, -1\/2, 345, 1923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3209*m - 161040. What is l(-51)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14388037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {i: 1, t: 7, n: 3, j: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 6*r - 4. Let d be u(-4). Let s be (-12)\/16 - 31\/(-4). Find the second derivative of -2*t**3 + 6*t - 2*t**3 + s*t**d + 4*t**3 wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -429318*u - 6141. Let b(h) = 12627*h + 178. Calculate 69*b(p) + 2*g(p).\nAnswer: 12627*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {x: 3, p: 2, o: 2, c: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - u = -25 + 22, 7*u - 7 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -360 + 3183. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 338*v**3 + 13175*v**2 + 32973654.\nAnswer: 1014*v**2 + 26350*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-14) + (-234)\/(-91). Let a = s - 11. Let h = a - -12. Solve h = -x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 - 5*w**2 + 2*w + 95. Let n(p) = 7*p**3 + 6*p**2 - 3*p - 95. Let j(x) = 2*n(x) + 3*u(x). What is the first derivative of j(g) wrt g?\nAnswer: -3*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 5. Let s be c(7). Suppose s*o - 18 = -68. Let u = 40 + o. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17\/11 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + h**2. What is the remainder when 15 is divided by d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:03 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -997*u - 10970. What is c(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u - 69. Let t(a) = 4*a + 17. Let w(h) = 2*c(h) + 9*t(h). Let q(s) = 3*s + 7. What is -13*q(v) + 6*w(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(((q*q**3*q)\/q)\/q))*q)\/(q\/q**(1\/4)*q)*q*q**14*q*q*q*q**(2\/5) assuming q is positive.\nAnswer: q**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371558 and 284064.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**2*t**2*z - 1649*r**2*t**2 - r**2*z**3 - 33*r*t + 5*r - 2*t**2*z**3 - t**2*z**2 wrt r?\nAnswer: 2*t**2*z - 3298*t**2 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4642*s**4*y**3 + 749*s**4 - 2*s**2*y**2 + 17*s**2*y + s**2 + s*y**3 - 129*s wrt s?\nAnswer: -111408*s*y**3 + 17976*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/2815 or 1?\nAnswer: -39\/2815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = 12*v - 224 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 34\/9. Let w(k) = -5*k + 7. Let j(z) = 3*z - 4. Calculate v*w(y) - 7*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 + -0.48. What is the smallest value in q, 0.11, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9046524493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1769910615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + 2 + 136\/3. Let a = 54 - t. Let u(q) = -q - 3. Let f be u(0). What is the nearest to a in -0.4, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 35*s - 311. Let p be 10\/(-15)*21\/2. What is the remainder when 237 is divided by c(p)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 - y**4\/12 + 2*y**3\/3 + 2*y**2 - 2*y + 53. Suppose h(m) = 0. What is m?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n = -9611 + 8774 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-4))\/(2 - 4). Let y(n) = -n**2 - 5*n - 7. Let j be y(k). Is 0*j\/2 - 85*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.1 + -16.3. What is the nearest to 7 in o, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 369, 556, 745, 936, 1129?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 + 5950*x**3 - 59115*x**2 + 135770*x - 82600 = 0.\nAnswer: 1, 2, 7, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1332, -2682, -4032, -5382, -6732?\n\"Answer: -1350*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 4*r**2 - 3*r**2)*(2 - 13 + 1)*(-4*r**3 - 2 + 2).\nAnswer: 120*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032 - -22?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -12, 3*t + 80*i - 4770 = 83*i. What is the least common multiple of 228 and t?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*v - 151*v = 100. Let s = v + 0. Calculate the smallest common multiple of 6 and (-15)\/(-20) + -1 - s\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 1, g: 4, t: 1, l: 2, h: 2}. What is prob of picking 3 g?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + l**2 + 2*l**2 + 3*l**2 + 7.\nAnswer: -3*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 104 and 0.54.\nAnswer: 104.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -26343?\nAnswer: -26322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 134504*n - 1632. Let t(r) = 2989*r - 36. Calculate -3*c(u) + 136*t(u).\nAnswer: 2992*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -23?\nAnswer: -83\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.87 - -0.13. Let m = -7 + z. Which is the third biggest value? (a) 0 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -11. Let v = 9 + h. Which is the second biggest value? (a) -1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1205, 1485, 1769, 2063, 2373, 2705, 3065, 3459?\nAnswer: 3893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/3 - j**2\/2 + 5*j - 2. Let k(v) = -2*v + 2. Let d(s) = -s + 1. Let x(y) = -d(y) + k(y). What is -5*g(q) - 8*x(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/3 - 2*t**3 + 140*t**2\/3 + 194*t - 715\/3 = 0.\nAnswer: -13, -5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = -5*l - 0*l, 24 = -3*l + 4*t. Let x be -2 + (-18)\/l + -2. Which is the nearest to x? (a) 1\/5 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2473 <= -2479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxqqqxxqqqxxqqxxxxx. Give prob of sequence qxxw.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((22\/8)\/(-11))\/(1\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 1 - 7. Suppose j*a - 4*v = -3*a, -2*a + 3*v = 0. Let h be (3 + -1)\/(2\/4). Solve -5*s + h*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (21 - (9 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -85074, 16 in increasing order.\nAnswer: -85074, 16, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let j(o) = -779*o + 4. Let f(q) = 2349*q - 11. Let m(t) = -2*f(t) - 7*j(t). Determine z(m(n)).\nAnswer: -1140050*n**2 + 18120*n - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1)*51\/(-6). Let b = i - -47. Calculate the least common multiple of 12 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12108 is divided by 605.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 665, 702, 757, 824, 897, 970, 1037?\n\"Answer: -x**3 + 15*x**2 - x + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8*n - 11 = 4*z, -98*n + 19*z = -95*n + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 2*a. Suppose -3*c = -1 - a. Find the first derivative of 0 + c*n**2 + 2 - 1 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 7. Let i be l(-7). Suppose 5*r + 5*y = 10, -y = y. Sort i, 1, r.\nAnswer: i, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let p(s) = -3. Let a be 4\/(-22) - 220\/121. What is a*w(j) - p(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*z + z + 145, 4*z = 5*u - 180. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -1 (c) -5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + 62\/6. Suppose -p - l = 4*l - t, -l = p - 11. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232.3 - -57.7. Let w = p + -290.344. What is w rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 26*t + 10. Let z(k) = -9*k - 3. Let c(q) = 4*s(q) + 11*z(q). Does 17 divide c(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -2\/15*p**6 - 1\/6*p**3 + 0*p**2 - 1\/3*p**4 - 3\/10*p**5 + 0 - 1\/42*p**7 + 2*p. Find r such that o(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1894974 and 12926588.5.\nAnswer: 11031614.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 - -2.7. What is the second smallest value in n, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -28.55773, 3 in ascending order.\nAnswer: -28.55773, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3919924, 7839848, 11759772, 15679696, 19599620, 23519544?\n\"Answer: 3919924*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z + 1. Let d be m(0). Let r(v) = -v**3 - 2*v**2 + 15*v + 3. Let s be r(3). Solve s*u + 6 - 15 = 3*h, 2*h - d = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -251, 52, 355, 658, 961, 1264?\n\"Answer: 303*j - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 + -211. Does 3 divide (4 - 1)\/(510\/505 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - i = -10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -2\/3 (c) 1.001 (d) 17\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/5)\/w*w*w*w**18)**50 assuming w is positive.\nAnswer: w**970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281 and 9808024?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18033 + 18033.7449. Round o to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-11)\/4)*(-976)\/1281.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3988 - 43237. Let z = 41355 - -14394. Let q = n + z. What is q rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18552 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-40)\/3)\/5 + 10 + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Suppose 5*c = 8 + 7. Let n(w) be the first derivative of -14 + 2*w + 4 + 3 - 18. Calculate c*n(r) - 2*b(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 116, 24, -104, -268?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 3, c: 12}. What is prob of picking 3 a?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128094299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640\/3*w - 2\/3*w**4 - 62\/3*w**3 - 148*w**2 + 1024\/3 = 0. Calculate w.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6*(-10 - -13). Suppose -j + b*u = -2*j - 11, -2*u - 52 = -3*j. What is the greatest common divisor of 98 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -4*s, -5*h - s + 5*s = 21. Suppose 3*t = -73 + 88. Let k = t + h. Which is smaller: k or 2\/31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.530668us?\nAnswer: 0.000000530668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -109088*9\nAnswer: -981792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + t + 3*t + 776 = 0, 0 = -3*s - 2*t + 592. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8330 and 9555?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 19*r**2 + 6*r**2)*(3 - 2 + 1) + 145*r**2 + 386 - 386 to p*r**2 + v + b*r and give p.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3842*h - 32*c + 212 = 3838*h, -h + 3*c = 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23846, 97266, 219634, 390950, 611214, 880426?\nAnswer: 1198586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**4 + 25*a**3 + 30*a**2 - 23*a - 40. Let r(u) = -15*u**4 - 50*u**3 - 60*u**2 + 45*u + 80. Let g(h) = 5*b(h) + 3*r(h). Suppose g(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149144*j**2 - 21038 wrt j.\nAnswer: -298288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3541622 and 392.\nAnswer: 14166488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -4\/61 (c) -4\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233 and 70037.\nAnswer: -16318621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4 - 57. Suppose o = 4*z + 5*u - 28, u = -5*z + 117. Let m = 49 - z. Calculate the highest common factor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 - 3*c - 2. Suppose 13 = 2*z + 3. Let n = -7 + z. Give m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -46. Suppose -106 - 78 = -2*i. What is the least common multiple of 10 and p\/(-90) - i\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14151264 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6478\nAnswer: -6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/60)\/((-11)\/132). What is the closest to 2\/7 in 0.2, u, 0.991?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36031 + -1?\nAnswer: 36030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 32 + 12. Suppose 18 = -z - p + 6*p, z = 2*p - 12. Let i be 43\/9 - z\/36. Calculate the greatest common factor of g and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 5*w = -3*x - 25, -2*w = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1049 - 165.\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c**3 - c**2. Let p be x(1). Suppose 4 - p = -3*w. Let d = -1 + w. Solve -d*m - 32 = -4*j + 8*j, -5*j - 37 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1581 (b) -4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 106*n. Let h(t) = -4*t. Calculate o(h(u)).\nAnswer: -16*u**2 - 424*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -30*l**2 + 109*l + 37. Let p be i(7). Which is bigger: p or -684?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6233?\nAnswer: 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.861573*2\nAnswer: -3.723146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3*o**2*y - 3*c**3*o*y**2 - 8*c**3 - c*o**2*y + 3*c*o*y**2 + 8*c*o*y - 2*c*y**2 - 3*o**2*y**2 wrt o.\nAnswer: 26*c**3*y - 2*c*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -950 by -10.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = 2*b. Let u(v) = -3*v**3 - 9*v**2 - 2*v + 16. Let w(p) = 5*p**3 + 13*p**2 + 3*p - 24. Let c(z) = -8*u(z) - 5*w(z). Determine c(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a*(a*(a*a*a**(-11)*a)\/a*a*a)\/a)\/(a*a**4*a\/(a*a**(-9))) assuming a is positive.\nAnswer: a**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -53, 13, -5.\nAnswer: -53, -5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 15\/80*-2) + -3. Which is the closest to -1? (a) -0.4 (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - (-14 - (-31 - 1) - 10).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/3 - 3*a. Let m(x) = 3*x. Let p(z) = -10*z. Let l(b) = -16*m(b) - 5*p(b). Give u(l(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*x + 36, 74 - 14 = 5*x - 2*r. Suppose 0 = -b + 7*b - 24. Calculate the greatest common divisor of x and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 26*i + 5*i**4 - 2*i**4 - 23*i)*(-13*i + 4*i - 10*i).\nAnswer: -57*i**5 + 19*i**3 - 57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(54)\/sqrt(9))\/(sqrt(3) - -1*sqrt(432)).\nAnswer: 3*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.9724t in milligrams?\nAnswer: 651972400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = i - 0*i + 1, -15 = 3*i. Let o = 70 - 31. Suppose -g*a = -6*a + p + o, 3*p = 9. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 8. Let k(m) = 25 + 8*m - 9*m - 7*m. Let v(d) = -7*i(d) + 2*k(d). Let u = -23 + 18. Give v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311202 - -10?\nAnswer: 1311212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4 + 8 = -4*l, q + 3*l = -9. Suppose -21 = -5*t - 1. Let y be 2 + (-1 - -1 - 1). Sort y, q, t.\nAnswer: q, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = x. Let y be 2\/(-3)*84\/(-4). Let i = y - x. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o - i, 0*i + 6 = 3*o - i. Suppose -a + 1709 = 4*q - 179, 4*q - o*a - 1888 = 0. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 291?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 + z - 6. Let o be s(5). Suppose 3*p - o = -5*f, 5*f = f + 4*p + 112. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/24*50 - -6. Which is the smallest value? (a) -9\/5 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-18)*m**6*m*m\/((m**(-3\/2)\/m)\/m)*m**(-1\/13)\/((m*m**6\/m)\/m)*m**(-1)*m*(((m\/m**(-1\/7))\/m)\/m)\/m assuming m is positive.\nAnswer: m**(10707\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 258*p + 1527986 = 32*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000077407 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 5, 2, -3, 16, 4, -9 in decreasing order.\nAnswer: 172, 16, 5, 4, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5012539 and 4396?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276782 is divided by 1980?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83245820 and 48892?\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -5 + 1 + 4. Let o be ((1 - k) + 8)*4. Suppose 4*c = -3*n + 44, -2*c = -2*n - 15 - 21. What is the greatest common factor of c and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**5 + 789*d**4 - 61926*d**3 + 346809*d**2 + 1364778*d - 761400 = 0?\nAnswer: -188, -3, 1\/2, 9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -234, -211, -164, -87, 26, 181, 384, 641?\n\"Answer: y**3 + 6*y**2 - 2*y - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**5 - r**4 + 566*r**3 - 801648*r.\nAnswer: 160*r**3 - 12*r**2 + 3396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - o + 254, a + 61 = -3*o + 2*o. Let u = 820 + -1303. Is u\/a*(1 + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 547, 4, -5 in decreasing order.\nAnswer: 547, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 27. Give d(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 48*i**2 - 343*i + 54. Let j be n(7). Solve -m - 9 = -j*b, 10*m = 2*b + 13*m + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 - 475*s + 1945. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*w + 12*w - 302 = 2*h - 0*h, 4*h - 3*w + 99 = 10 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 8*l = -11*l + 81. Let z(u) be the first derivative of -13*u - 10 - 14\/3*u**l + 0*u**2. Differentiate z(v) wrt v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4, 2*r - 7 = 2*u + 61. Which is bigger: 18 or u?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1170, 2, -68, -239 in ascending order.\nAnswer: -1170, -239, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-4)\/(-8) + 250\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + 3 - 10 - 41) + (-12 - -2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -163644 (base 7) in base 12?\nAnswer: -16a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8130, -16262, -24396, -32532, -40670, -48810?\n\"Answer: -l**2 - 8129*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 149 = -148 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 31*z**2 - 4*z. Let x(g) = 28*g. Calculate i(x(u)).\nAnswer: 24304*u**2 - 112*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**3 + 13*d**2 - 11*d + 11. Let o(l) = -4*l**3 - 6*l**2 + 5*l - 5. Let y be 154\/55 + 6 + 2\/10. Let z be -1*(1*2 + (20 - y)). Give z*o(m) - 6*j(m).\nAnswer: -2*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3850\/176 - (-8)\/64. Calculate the highest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*z = -11, z - 1 = 4*d - 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8601.5439 seconds?\nAnswer: 0.09955490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 2. Let j be o(-2). Let p be 5\/(-10)*-7*(2 + j). Let u be (p + -6)*(-1 - -1) + 18. Which is greater: 20 or u?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 294*i + 1137*i.\nAnswer: 1431*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 36478?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34111.7 take away -0.19?\nAnswer: 34111.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 17.1. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-9)*(-6)\/147*-7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsns. Give prob of sequence snn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 - 110*j**4 - 535*j**3 - 910*j**2 - 480*j = 0?\nAnswer: -16, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 10*x - 1. Let s = 7736 - 7742. Determine u(s).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-19 - 28) + 32 + 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 81*x**2 + 286*x + 5. Calculate j(5).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 + 104. Let k be 4\/8 + 52\/(-40)*-23. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57612 divided by 3\nAnswer: -19204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 994301.7 milligrams in kilograms?\nAnswer: 0.9943017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/20 + 3\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose -26 - 3 = -2*z - m*y, 0 = z + y - 10. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/564 and -25\/72.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from irffirifrirrfiiiffr?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 2*o - 10. Give z(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 8*w - 4 = c, -3*w - 16 = 4*c. Is c >= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25809909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 10.6, 1\/8, -3?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 86. Let b = p - -41. Find the first derivative of -u + b*u**2 + u + 14 wrt u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 13*z - 3. What is g(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 110996.\nAnswer: 5\/27749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*j + 5*m, -5*m - 38 = -5*j + 37. Let s = j + -14. Solve -s*f = -0*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 96247942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 1\/3, 0.17.\nAnswer: -2, -0.1, 0.17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(12)*-1)\/sqrt(6) + sqrt(2)) + 1*(1 + sqrt(32))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 796263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 3*i)*((1 + 2 - 2)*(-2 - 3 + 3) + 3 + 0 + 0)*(-1 - 4 + 4).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29460 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(5\/20). Suppose -4*l + 3305 = -87. Suppose f - 2*m - 264 - 162 = 0, -2*f = -c*m - l. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x**2 + 5 - x - 4*x**2 + 9*x. Let s be (1 - 6\/(-6))\/((-2)\/123). Let y = -128 - s. What is a(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:44 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(-24)*91\/(-455)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let o = -4 - g. Let a(t) = -t - 20. Let b be a(-15). What is the second biggest value in o, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2328472 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihhhhhhhhhihihh. Give prob of picking 2 h and 1 i.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62640 and 4800.\nAnswer: 1252800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlww when four letters picked without replacement from {l: 8, d: 2, w: 4}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 9. Let n(j) be the third derivative of -j**4\/24 + 7*j**3\/3 - 4*j**2 - 5*j. Calculate 8*g(w) - 5*n(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, y: 13, t: 2}. What is prob of picking 2 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 j when four letters picked without replacement from jjjjbbjjbj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*u, i + 4*i + u = 546. Let p(t) = -i + 12*t + 110. Let z(j) = j. Determine p(z(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 9*n**2 - 4*n + 38. Let d be h(9). Let p(z) = 8 + 249*z**d - 4*z - 246*z**2 - 5*z. Let k(c) = c**2 - 3*c + 3. Calculate -8*k(y) + 3*p(y).\nAnswer: y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -111590 (b) -2 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:30 AM?\nAnswer: 527","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 480160000 to the nearest one million.\nAnswer: 480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9662*-307\nAnswer: -2966234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 = 6*y - 4*l, -2*y - 13 = l. Let s(f) = -f**2 - 7*f - 2. Let a be s(y). Solve -2*b - 6 = -a*q - q, 0 = -3*q + 4*b - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 56175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1255 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 + 175\/10)*252\/(-110). Sort z, -1\/3, -0.4.\nAnswer: -0.4, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -16, 38637, 2\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-75)\/12 - 1\/4. Sort -3, 16, -1, q in increasing order.\nAnswer: -3, -1, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2. Let t(q) = 5*q + 0 + 1 - q**3 - 5*q + 2*q. Let n be t(-2). Suppose -2*i = 4, d - 9 = -i + n*i. What is p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11089294 to the nearest integer?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (1 + (0 - 0))) + 2. Does s = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238, 227, 202, 157, 86?\n\"Answer: -g**3 - g**2 - g + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40790 and 32632.\nAnswer: 163160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14204985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 180, -3 in descending order.\nAnswer: 180, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 18*y - 23*y + 37740, 4*b - 5*y + 50320 = 0. Round b to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10396 (base 11) to base 6.\nAnswer: -153541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634721215?\nAnswer: 5, 326944243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 4*i**2 + 2*i - 4. Let d = 36 + -32. Let w be t(d). Let f = 61 + w. Is f <= -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2099044\/3, -1\/10, 2\/5 in decreasing order.\nAnswer: 2099044\/3, 2\/5, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 549, 1629, 3667, 6981?\nAnswer: 11889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14 + 884\/65)*2\/(-12). Sort w, -4, 6 in descending order.\nAnswer: 6, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35231.2 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 4, -78, 0.4, 88\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 13412?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 12 - (-25 + (4 - 7) + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3670661 days in seconds?\nAnswer: 31714.51104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2 + (11 - 747\/81).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 13*k + 107. Let d(z) = 6*z**2 + 16*z + 106. Determine -3*d(h) + 4*g(h).\nAnswer: 2*h**2 + 4*h + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/193 (b) 3 (c) 37 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 46 = 3*c + 5*t, 4*t = 2*c + 4. Let r(i) = -4*i + 7. Let j(s) = 5*s - 7. Let x(g) = -5*j(g) - 6*r(g). Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178 (base 16) to base 4.\nAnswer: -11320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57403 - -58124.524. Let j = w + -722. What is j rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let c(p) = p**2 + p + 33. Let r be c(b). Let k be 0 - (1 - 5) - (-4)\/(-4). What is the highest common divisor of r and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -7*i**2 - 2*i + 6. Let x be y(-1). Suppose 5*f - 3*w - 14 = 0, -3*f + 6 + 4 = -w. Put f, x, 2 in decreasing order.\nAnswer: x, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 13. Let t be i(-11). Let j = -9 - -8. Let l be (j\/3)\/((-2)\/6). Put t, 5, l in decreasing order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*w + 11, -w + 14 = 2*o - 6*o. Solve 0*b + 6 = -w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 44*x + 44*x. Let b(h) = 28*h**2. Give j(b(r)).\nAnswer: -1568*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56988?\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 61*d**2 - 2 - 21*d**2.\nAnswer: -82*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:41 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1477261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/1*4 - -1. Suppose -x = -4*i - 9. Calculate the remainder when 36 is divided by i\/(-4) - 216\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/20785 - 10053\/36145115. Let t = g + 608656\/26085. Which is greater: 23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 = -r, -4*r + r = 5*n - 54. Let o = -14 + r. Let z be 6*(-1 + o\/6). Solve 2*g = -z*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/26 + 1 + 19020654\/234 + -14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14179694 divided by -2\nAnswer: -7089847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 21*m**2 - 17*m + 50. Let b be k(-20). Let v(i) = -4*i - 37. Give v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.25 rounded to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -2 - (1 + 0). Suppose -5*z + 2*p + 6 = -7, 0 = 2*z - 4*p - q. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v + 755*v + 171*v - 110740 = -1509*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/109209 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/3 + 3784*u**2\/3 - 58140*u - 59400.\nAnswer: 4*(u - 45)*(u + 1)*(u + 990)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*f + 391*f + 101 = -1214 - 203 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:45 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 5. Let o be s(-11). Let g be (-9)\/6*o\/6. Suppose n - 3*z - 1 = 0, 2*n - 18 = -5*z + 28. Solve g = 3*j + n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 + 122. Let r = p - 7.889. Let s = -0.10724 + r. Round s to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20 - 14) + -5)\/(19 + (-1824)\/95)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 121\/(-55)) + 308\/(-4290)*-52.\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776\/2331*(-12)\/(-16).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 - 2*b**2 - 2*b. Let t be o(-2). Suppose -5*f + 0*f - 5*x = -t, 0 = 3*x + 3. Suppose -15 + 50 = f*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, p: 2}. What is prob of sequence ep?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3985*s**2 - 2895*s**2 + 2110*s**2.\nAnswer: -4770*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50333 - 0.0370882.\nAnswer: -50333.0370882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sum 9220672867 and -110.\nAnswer: 9220672757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -716.331815 - -0.2\nAnswer: -716.131815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -86. Let g be 96\/d*3\/(-2). Put 0, 3, g in increasing order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-24\/5)*o)\/o**10*(o**(-8\/3)\/o)\/(o*o**(1\/13)))**(8\/9) assuming o is positive.\nAnswer: o**(-28928\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/535 + -1613\/2140. Let f be (-3575)\/363 - -9 - 2\/(-11). Which is the closest to f? (a) -5 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 76. Let t = -551\/8 - -69. What is the closest to 1 in t, -3, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2 - 34812974*k - 8703244.\nAnswer: 2*(k - 4351622)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - d + 3744095 = 0, -9*k = -13*k + 5*d + 4992114. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 563.020632.\nAnswer: -562.620632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**3 + 3*i**2 - 4*i. Let s(y) = -y**3 - y**2 + y. Let f(k) = j(k) + 5*s(k). Factor f(v).\nAnswer: v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/147*7*140\/(-8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i - 16 = 0. Let x be (-562)\/(-18) + i\/(-18). Let l = x - 17. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 105 - 178 + 73.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 + w - 49 - 25 - 40 - 138.\nAnswer: w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1215 (base 14) to base 9.\nAnswer: -4285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18389 is divided by 18365?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*f = -1 - 1, 5*f + 5 = -2*w. Let v = w - -23. List the prime factors of -2 + v - (1 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 789, 1174, 1565, 1968?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 1600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18657442 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -3.2. Let t = 43 + -42.8. Sort -1, -1\/6, t, d in increasing order.\nAnswer: d, -1, -1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 19*j**2 + 22*j - 37. Let m be v(20). Suppose 20 = -5*s, 3*a + 3*s = -0*a - m. Solve -a*i = -2*c + 2*i, 0 = 3*i + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211612*z**2 + 3 - 2*z**3 - 105818*z**2 - 105818*z**2.\nAnswer: -2*z**3 - 24*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o**2 - o. Let c(x) = -2*x**3 - x**2 + 97*x + 3. Calculate -c(g) + 3*m(g).\nAnswer: -g**3 - 2*g**2 - 100*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - 53) + (-1 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 1 - 20*h + h.\nAnswer: -27*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7 - 23, 2*m + 3*z = 20. Calculate the highest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 2. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggrgr. What is prob of picking 1 g and 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/25 + 74\/75. Let p = -3.1 + 1.8. Let u = -0.3 - p. Which is the biggest value? (a) h (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let d = -37 + 42. Determine m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 217706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 22*a)*(a**4 + 3*a**4 - 2*a**4 - 2*a**4 + 2*a**2 - 2*a**2 + (2*a**3 - 2*a**3 + 2*a**3)*(9*a + a - 3*a)).\nAnswer: -308*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.32 + -3.3199358. What is j rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:04 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-50 - -1) + (-17 - (-18 - (16 - 5))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2606582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12. Let m = 9 + 1. Calculate the remainder when 30 - (2 + (2 - j)) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 3. Let n = s + 1. Suppose -4*z = -2*l - 0*z + 64, 5*z + 69 = n*l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51.92 and 17439.\nAnswer: -905432.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38434054591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3791427 and 465.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - k - 1. Calculate the remainder when 504\/11 + 34\/187 is divided by u(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011 (base 2) to base 15.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 7*i**2 - 6*i. Let u(j) = -2*j**3 + 8*j**2 + 7*j. Let a be (2\/1)\/((-8)\/20). Let l be 84\/15 - (-3)\/a. Give l*u(v) + 6*g(v).\nAnswer: 2*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 2*f**2 + f - 2. Let t be p(3). Let r be ((-12)\/t)\/(12\/(-80)). Find the second derivative of 10*m**2 - 3*m - m + 7*m - r*m**2 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8059 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - z**2 + (-4*z + 3*z - z)*(0 + 0 - z) + 11*z**2 + 126*z - 126*z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 17*r - 1. Solve 3*j - 3*a + 6 = 15, -a - r = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2)*8\/6. Let h = 5.1104 - 2.1104. Which is the smallest value? (a) z (b) h (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + (8 + -5 + 1 - 5))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -121*(16\/6)\/4. Let u = i - -80. Let f = -2 - -1. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-2)\/(-6) - 19\/(-57). Put r, -5, -12, 2\/7 in descending order.\nAnswer: 2\/7, r, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13250*l - 153 = -3*n - 13251*l, -199*n - 3*l + 9959 = 0 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -2*v**2 - 3 + 46*v - 46*v + v**2. Let j(f) = 4*f**2. What is j(q(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:16 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 - -823\/5. Suppose -6*y - 38 = 13*y. Which is the smallest value? (a) z (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/(-5)*1*(-45)\/9. Suppose -5*a = 5*n + 698 - 68, 15 = -5*a. Let d be 1*3\/(-9)*n. Calculate the greatest common factor of d and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(14))\/(-4*sqrt(63) + sqrt(7)) - (4 + -1 + sqrt(8) + -2).\nAnswer: -20*sqrt(2)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.988 + 1. Let n = -0.908 - x. What is n rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -10940?\nAnswer: 1\/2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 0, -v = -5*y + 23 + 19. Find the first derivative of -2*x**4 + 3 + y*x**4 - 20*x - 9*x**4 wrt x.\nAnswer: -8*x**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13162760 by -2210.\nAnswer: -5956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g + 49 - 31 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357 + -334. Let h = m - 22.8. Which is the smallest value? (a) 2\/3 (b) -5 (c) h (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000434 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:04 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-154) - ((-240)\/132)\/(-10).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 141*y**2 + 134*y - 14. What are the prime factors of w(-4)?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 2) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/21 and (5 + 2)\/(427\/(-35) + 13).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/12*300\/29025*43\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-77))\/((-152)\/(-836)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 0)*-4) + -1*sqrt(833)*-1 + 3 + (sqrt(833) + sqrt(833)*1)**2*5.\nAnswer: 42*sqrt(17) + 16663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104729 equal to 523652\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8029, 8030, 8031, 8032?\n\"Answer: p + 8028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 881368?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/7 + 214*y**3\/7 - 378*y**2 - 5926*y\/7 - 3068\/7 = 0 for y.\nAnswer: -118, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 12) to base 15.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 40. Let a(j) = 3*j - 21. Let o(v) = -v + 11. Let z(i) = 2*a(i) + 5*o(i). Let h(b) = 3*y(b) - 8*z(b). What is h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n**2*y + 47*n + 8*y + 35 wrt n?\nAnswer: 10*n*y + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.53 and 2243.\nAnswer: -5674.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000264410985 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48080 and 24040.\nAnswer: 48080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 - 1 = 2*k, 2*k = 6. What is the lowest common multiple of 6 and ((-60)\/9)\/(q\/(-9))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14839 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*v - 2 = 8, -5 = 4*l - 5*v. Suppose 0*g = -5*g + 3*b + 4, -5*g + 20 = 5*b. Solve -5*o - 5*x = l, o - 5 - 6 = g*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2184*w**3 - 252*w**2 + 22*w + 270286482?\nAnswer: -6552*w**2 - 504*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 199804\/34980 + 9\/(-5) - 4. Is p less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 56 = 2*z + 58, 20 = -5*z. Let n = f - -120. Solve 0 = -7*w - n - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/5 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2975, -1, -4.1 in decreasing order.\nAnswer: 2975, 1, -1, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15206*x = 14593*x + 15938 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let v(b) = 365*b**2 - 148. Calculate v(l(c)).\nAnswer: 365*c**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1\/3*m**3 + 0*m - 2 + m**2. Find the second derivative of u(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/99 and -23\/11880.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 21.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 2*l**2 - l**4 + (2 - 1 + 0)*(-2*l**4 - 2*l**3 + 2*l**3) - 303*l**3 + 27*l**4 + 303*l**3 as a*l**2 + k*l**4 + h*l + j + q*l**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/48*-172*42\/14.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 2*j**3 + 3*j**3 + (118*j**3 - 65*j**3 - 62*j**3)*(-4 + 2 + 4) + 0 - 4 - 2*j**3 + 5.\nAnswer: -18*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -140, -4, -13 in decreasing order.\nAnswer: 3, -4, -13, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**3 + d**2 + 1109*d - 6677. What is v(6)?\nAnswer: -1931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5330 = -155*c + 145*c. What is the remainder when c is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18186928837269 + 5\nAnswer: 18186928837274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a + 2*z + 93, 5*z = 4*a + 120. Let s = -1 + a. Let f = -18 - s. Calculate the remainder when 25 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -28*f**2. Let m(z) = 12*z**2. Determine m(y(h)).\nAnswer: 9408*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9*d**2 + 3*d**4 - 125750*d - d**3 + 125751*d + 11 to the form t*d**2 + x*d + h + r*d**3 + a*d**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/53 - 115\/477. Let l = 9.69 - 9.66. What is the closest to o in -2, l, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x - 3*x. Let q(s) = -3*s - 2*s - x*s + 6*s. Let z(n) = 20*n - 17. Let p(w) = 7*w - 6. Let u(k) = -17*p(k) + 6*z(k). Calculate u(q(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116922 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2187.6 + 215492.\nAnswer: 217679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 399351 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 4*l + 4. Let x(z) = -z**3 + z**2 + 5*z + 4. Calculate the remainder when x(-3) is divided by a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 12*s + 1167 = -14*s + 559 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = 2*n + 7, 0 = 3*n - 12. Sort m, 3, 4 in decreasing order.\nAnswer: m, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3849 - 0.3849. Put 0.05, l, -6.1 in descending order.\nAnswer: 0.05, l, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*z = 115, 99 + 107 = -10*y + 2*z for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000665693 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**3 + x**3 - 3*x**3)*(-x - 9 + 9) + 1227*x**4 - 183*x**4 + 1359*x**4 to the form d*x**3 + p*x**4 + t*x**2 + b + n*x and give p.\nAnswer: 2404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -17*u - 3*u. Let v(t) = 21 - 8 - 2*t + 3*t**3 + t**2 + 21*t**2. List the prime factors of v(u).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7)*b**(-2))\/(b**(2\/5))**(-10))\/(((b**(-5)*b)\/b)\/(b\/b**(1\/4))*(b**1\/b*b)**(-5)) assuming b is positive.\nAnswer: b**(345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 146655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 29*b**2 + 1633*b - 240. What is c(-28)?\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543498979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i - 5. Suppose -2*x - 45 + 9 = 0. Let r = 36 + x. What is the highest common divisor of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = 2*c, -12 = -3*f - 8*c + 5*c. Let z(g) = g**3 - 5*g**2 - 5*g - 3. Let h be z(6). Solve f*t + h = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 110 = 2*z, 3 = z - 5*u - 38. Suppose -z = -13*j + 17. Is (4 - 4273)*(-2)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6568272.\nAnswer: 32841360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -31*w - 9. Suppose -5*z - 140 = 4*g, -4*g - 2 = -2*z - 86. Let h = z + 29. List the prime factors of f(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -205 and 71.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c - -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4241 + 4240.8093. Let p = 0.19 + h. Round p to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447 by 9818.\nAnswer: 447\/9818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (-8 - 1)) + -4. Solve m = -4*u - 2 + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - (-4 + -237)) + 7 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.7570735738 + 39.1623409867. Let b = -0.0805801395 - d. Let s = b - -89. What is s rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z + 2*z**2 + 0*z**3 + 0*z**2 + 9*z**2 + 13*z**3 + 13 + 0*z**3. Let l(t) = -7*t**3 - 6*t**2 - 8*t - 7. What is 11*l(g) + 6*q(g)?\nAnswer: g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 8:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876415957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-1008)\/32)*28\/10*-2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18799 is divided by 4696.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24617 + -5?\nAnswer: 24612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/(-2))\/5)\/(15\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48228*h**2*r**4 - 33*h**2*r**2 - 2*h*r**4 - 20*r**2 wrt r?\nAnswer: 1157472*h**2*r - 48*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:35 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -4*m + r, -2*m - r = 4*r - 95. Let u be (-9)\/m + 1\/5. Are -1\/35 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 6*s + 2*s + 69 - s**3 - 77 in the form r + n*s**2 + z*s**3 + f*s and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5 + 19*m + 12*m - 34*m + 1. Let t be -2*(18\/4 - 2). Let f(i) = -i + 1. Suppose -5*u + p - 15 = -3*p, -5*p = -4*u - 21. Give t*f(x) + u*n(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q + 110. Solve q + 3 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by -1866?\nAnswer: 106\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5932*y + 18361*y - 6133*y - 6043*y.\nAnswer: 253*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*1.1\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.64509um in meters?\nAnswer: 0.00007464509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = 5*a + 4, -9 = -4*j - 5*a. Let i be 3\/((-9)\/j) + -829998. Round i to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 663*v - v**2 - 23*v**4 + 2 - 664*v + v**2 as c + k*v**4 + f*v**3 + b*v + s*v**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3022, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-15 + 1 + 5 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18633 + -4090. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 311*n + 4316*n + 1969 - 1969 + (2*n + n - 2*n)*(-4 + 4 - 2).\nAnswer: 4625*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-13) - (-5)\/(55\/23).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.034, 3\/5, -5\/2, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 7*z - 14*z - 3.\nAnswer: -13*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 5*c + 7. What is i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 - 2*n + 8. Let v be u(-4). Suppose v = -c + 4*x - 9*x + 57, 0 = -5*c - x + 165. Calculate the smallest common multiple of 16 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643184525?\nAnswer: 5, 1831, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 4, p: 1, z: 8}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 12. Suppose -31*k = 154*k + 2035. What is l(k)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/6, -10, -4 in increasing order.\nAnswer: -10, -4, -1\/4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s + 2. Calculate q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -3.896592.\nAnswer: 5.844888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a + 3. Suppose 3*n - 3*b = 15, -5*b - 15 = n - 2. Put a, n, -5 in decreasing order.\nAnswer: n, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47438720963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 2*p + 2*p + (5*p - p - 3*p)*(-5*p + 5*p - p) + (2*p - 3*p - p)*(0 + 5 - 4)*(208 + 615 + 233)*(-p - 3*p + 6*p) as w + j*p**2 + u*p and give j.\nAnswer: -4227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 3. Let y be x(-5). Suppose 14 + 6 = y*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/120 - m**4\/24 - 2*m**3\/3 + 17*m**2. Let g = 1 + -1. Let r = 0 - g. Determine u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*v - 10*v + 14*v + (-1 + 1 - 2)*(5*v - 7*v - 4*v).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5994, 5991, 5984, 5973, 5958?\n\"Answer: -2*r**2 + 3*r + 5993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-1)\/(-4)). Let x(b) = -2*b**2 - b. Give x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauuucuvhuouucuoacoh. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 120700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2. Let a(w) = 5*w**2 + 4*w + 8. Let q be (0 - 1)*(25 + -13). Let j(y) = -y**2 - y - 2. Let l(t) = q*j(t) - 3*a(t). Give z(l(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) + 70\/21. Suppose h + q = 2, -3*d + h + 7 = 0. Solve r = d*v - 2 + 5, -4*r + 5*v = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 90102462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Is (-2714)\/(242\/(-110) - (-1)\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47929.\nAnswer: 7, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 109020*l + 1485670050.\nAnswer: 2*(l + 27255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -2.4. What is the third biggest value in 2\/5, -5, o, 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8764, -8748, -8748, -8770, -8820, -8904?\n\"Answer: -p**3 - 2*p**2 + 29*p - 8790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 n when three letters picked without replacement from bbrbrrrrbrbrbrbbrbbn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1937?\nAnswer: -1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(900)\/sqrt(3))\/(sqrt(20)\/(sqrt(30)\/sqrt(6)))*3)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*p - 14, q + 2*q = -4*p. Suppose -b - k - 1 = 1, 3*b - q*k = 22. Suppose 0 = -b*y + 18 + 24. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/((h\/(h\/h**(-3)))\/h*h)*h*h*h)*h**(2\/19)\/h)\/((h*h\/(h\/(h*h\/(h*h**(-2\/11)\/h*h))))\/h**(-2\/11)) assuming h is positive.\nAnswer: h**(-2144\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + ((-84)\/(-51))\/(2\/23).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 16*g + 11. Let p be o(-11). Let t = p - -271. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 37644389.\nAnswer: -5\/37644389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 61*u**2 - 123*u + 194. Calculate c(-63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1608486 by -2.\nAnswer: -804243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 17a?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 38. Let d be ((-5)\/(1\/x))\/(10\/(-30)). Let r = d - -57. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 176399216 and 176399217 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/29 (b) 0.08 (c) -16\/7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6602528 divided by -1650632?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**3 - j - 127 wrt j.\nAnswer: -30*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -115*v + 114*v. Calculate the greatest common factor of v and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i - 7. Let m = -14 + 25. Let p be y(m). Suppose -w = w - p. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1655.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3, -6*a + 0*a + 19*h + 36 = -11*a + 5*a + a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*h + 9 + 35, -5*h = t - 31. Let q(m) = 2*m**2 + 2*m - 30. Let b be q(h). What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 22*h**5 - 6*h - 3*h**5 + 2*h**5 - h**5 + (h**4 + 0*h**2 + 0*h**2)*(5*h - 5*h + h).\nAnswer: -23*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7544\/(-6))\/82)\/((-16)\/(-6)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67460*x**4 - 71582*x?\nAnswer: -809520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -1)\/((-95)\/(96330\/351)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17702*v**3 - 15*v + 12*v + 3*v.\nAnswer: 17702*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*m**5*s**2 - m**4*s**2 + 2*m*s**2 - 12*m*s + 12*m wrt m.\nAnswer: -2060*m**3*s**2 - 12*m**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*w - 3870, 2*j - 3*w - 1677 = -139. Find r such that 4*r**3 - 762*r**2 - j*r**2 + 4*r + 1550*r**2 - 24 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-12 - -10 - (-6 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332847996*j**3 + 749*j**2 + 74691*j wrt j.\nAnswer: -1997087976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-3\/5)))\/x**(-3))**40 assuming x is positive.\nAnswer: x**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -87, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*i**4 - 4*i**3 + 2*i**2 - 306823*i wrt i.\nAnswer: -1224*i**2 - 24*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -4)*-2*4\/(-40). Let y = -3.25 + -1.75. What is the nearest to 1 in y, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78481930, -156963850, -235445768, -313927684, -392409598?\nAnswer: -470891510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -2?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 + 6) - -2) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 + 26*g - 7. Let j be h(6). Let a = j - -2. Let f = 14 - 9. Solve 6*u + f = 4*u + 3*t, -3*t + a = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**7*f*f*f)*f*f**8)**(7\/13) assuming f is positive.\nAnswer: f**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2347*c**2 + 195*c**2 + 2011*c**2.\nAnswer: 4553*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 1, v: 9, c: 2, g: 3}. Give prob of sequence cgv.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 - 4 = 2*t, 3*f - 11 = -2*t. Solve -2*r = -3*l + 23, 0 = 5*r - 74*l + 79*l - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/2)*n*n*n**(-6)*n*(n*n**(1\/5)*n)\/n*n**9 assuming n is positive.\nAnswer: n**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34806 - -34833. Calculate the greatest common factor of 1551 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5100851373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/6)\/((f**(-1\/6)\/f)\/f*f)*(f\/(f**1*f))\/((f\/(f\/(f\/(f**(-16)\/f))))\/f) assuming f is positive.\nAnswer: f**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)*b**(2\/53))\/(b**(-2\/57)\/((b**(-5)*b)\/b)) assuming b is positive.\nAnswer: b**(-77446\/15105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207963 = 12271*a + 563*a - 2931*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 4. Suppose -35*k - 254 = -9. Is k at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59408 and 43968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -13 - 2\/(-2)*308\/(-60).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 0.2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**6 - 20*k**3\/3 - 465*k**2\/2 + 966. Find the second derivative of w(r) wrt r.\nAnswer: -120*r**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 40 = 0. Suppose -3*r + t*r - 25 = 0. Solve o + 2 = r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 25 (c) -1\/3 (d) 0.1 (e) 3\/29 (f) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**3\/3 - p**2 + p + 3. What is the remainder when z(2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-8)\/(32\/(-12)))\/(11*-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235138330 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.387 - -21.687. Let d = 21 - z. Which is the biggest value? (a) d (b) 1\/7 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2653*-4229.\nAnswer: 1121.9537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9.6855 * -2668\nAnswer: 25840.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09502824564 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70709, 5, -4, 0, 3, -214 in decreasing order.\nAnswer: 5, 3, 0, -4, -214, -70709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 9*m + 6*m + 3, 2 = 4*k + 2*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*u, 0 = 14*u - 19*u + 5*m + 50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8280)\/11040*(-1372)\/(-6))\/(-14)?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 18*j + 16. Let k be s(2). Solve -4*l = -2*l + 2*b, k = -l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 7, t: 5, s: 3}. What is prob of picking 2 t and 2 z?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -67 (c) 1 (d) 0.6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 2129809\nAnswer: -14\/2129809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 + (-440)\/(-45). Let c = a + 3. Factor -4*r - r - 2 + c*r**2 - 1 - 11*r**2.\nAnswer: (r - 3)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28813651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213227 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 5. Give d(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 503. What is the remainder when w(-61) is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 10. What is g(13)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/11, -163, -14\/15, 3\/4 in ascending order.\nAnswer: -163, -14\/15, 2\/11, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 5) to base 16\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6361.5548 + -6360. Let q = 0.0492 + h. What is q rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/98 - -151\/392. Let c be 12\/(-15)*(-2)\/(-8). What is the third biggest value in d, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 + -20)*(-6)\/(-8). Let k = 6 - 3. What is the second smallest value in r, k, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 20 = 5*c, 0 = -157*h + 152*h + 25 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 1. Let i(w) = 9*w + 15. Let f(g) = -4*g - 7. Let v(l) = 5*f(l) + 2*i(l). Determine 4*k(n) - v(n).\nAnswer: 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2880 and 1920.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 4)*12\/20. What is the first derivative of -3 + y - a*y - y wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**3 + 7*m**4 + 2 - 8*m**3 - 6*m**3 - 2*m as q*m + j*m**2 + a + r*m**4 + c*m**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -13\/262843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -240 + 248 + 1 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280 (base 9) to base 7.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1011*i**2. Let w(r) be the first derivative of -5*r**3 + 5771. Calculate w(z(o)).\nAnswer: -15331815*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:09 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 833637.2 litres in millilitres?\nAnswer: 833637200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 178*j - 4 + 18 + 75*j + 34 - 5 wrt j.\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755360 bigger than 755390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4108002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**4 - 2*s**4 - 3*s**4 + (s - s + 2*s)*(2*s**3 - 2*s**3 - 2*s**3) + (2*s**2 - 4*s**2 + s**2)*(-s**2 + 4*s - 4*s) + 68*s**4 + 25*s - 25*s.\nAnswer: 66*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44642784 a multiple of 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379197?\nAnswer: 3, 1126399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:56 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 + 5*z**2 + 3*z**2 + 0*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2963 in 2\/5, 4, -213, -0.5?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 1. Let l(o) = -o**3 + 4*o**2 + 8*o - 8. Let r(u) = l(u) - 2*t(u). Let d be r(7). What is the biggest value in d, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32898\/94247 + -54\/1193. Let c = b - -2195\/316. Find the common denominator of (-61)\/30*3\/(-2) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3524 or 3525?\nAnswer: 3524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116393 and 27272.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8 + 15 + 2*m - 9. What is y(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = 137*b - 1561 + 614 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3882, 33115, 112460, 266973, 521710, 901727, 1432080?\nAnswer: 2137825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 456?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295*-326.\nAnswer: -96170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -50. Let f = d - -29. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(2263*412\/3193).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1075 = 3157. What are the prime factors of p?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133476.17 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(275))**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195151 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) - (-4*(sqrt(78)*1 - sqrt(78)) - sqrt(78) - sqrt(78) - sqrt(78)))*1)\/((sqrt(72)\/(sqrt(9)\/sqrt(3)))\/(sqrt(12)\/sqrt(3)*-6)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1119576, 4478310, 10076198, 17913240, 27989436, 40304786, 54859290?\n\"Answer: 1119577*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 21 = 15*v. Suppose 8 = 56*b - 60*b. Let t(k) = -k**2 - 2*k + 1. Let p(i) = -4*i**2 - 6*i + 2. What is b*p(f) + v*t(f)?\nAnswer: f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -421095040.\nAnswer: -421095040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-12))*l**(-5)*l assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 6 = 0. Which is greater: h or 1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1420*t + 63443. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:36 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1596\/2058)\/((-11)\/(-539)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.07 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 786917*q\/3.\nAnswer: -q*(q - 786917)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181141565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + 3.93. What is the second biggest value in y, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0539238 micrometers?\nAnswer: 0.0000539238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 15. Suppose 0 = 3*w + 3*s - 201, 11 = -2*s + p. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -36825*z + 3009. Let s(a) = -4*a. Give s(h(x)).\nAnswer: 147300*x - 12036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 328*y - 4633. What is o(15)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 22*n - 847. Let q be s(42). What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 31. Suppose -4*i - z*a + 44 = -i, 2*i + 3*a = 21. Calculate the highest common factor of i and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 39 - 4*b)*(2 - 5 + 4)*(b**2 - b**2 + 2*b**3).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h - 43. Determine c(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) 15\/8 (d) 0.3 (e) -0.8 (f) 3\/320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c - 12. Let z be s(2). What is the highest common factor of 117 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 52, 70, 86, 100, 112, 122?\n\"Answer: -d**2 + 23*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/(w**(-1)*w))\/w)**45\/(w**(-1)*w)**(1\/8))\/((w**0)**(2\/17)\/((w**(-2\/7)*w)\/w)**6) assuming w is positive.\nAnswer: w**(618\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*n = -22, 14 = 5*n + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12011120122202 (base 3) to base 7.\nAnswer: 32231525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 9*s**2 + 3. Suppose h = -3*h - 36. Determine g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99212 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484436 is divided by 742209?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 98.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538054.\nAnswer: 2, 11, 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Suppose y - 3 - d = 0. Let o(l) = l**2 + 8*l + 12. Let n be o(y). What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1441, -2929, -4501, -6199, -8065, -10141, -12469, -15091?\n\"Answer: -7*m**3 - 1439*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.44 and -156?\nAnswer: 155.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - c + 17, -3 = -230*c + 227*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43266, 37348, 27484, 13674, -4082, -25784, -51432?\nAnswer: -81026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-72))\/(1\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(sqrt(3) - (1 + sqrt(75) - sqrt(75)))**2)*-4.\nAnswer: -116 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825881 is divided by 2060?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllblllbllbblibbl. What is prob of picking 3 l and 1 b?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03601, -1, -0.0364?\nAnswer: 0.03601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74541 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: Let f(h) = -h**3 - 14*h**2 + 14*h - 15. Calculate f(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121000000 + 100121220?\nAnswer: -20020101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-14)*((118 - 98) + 381\/(-18))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 4905?\nAnswer: -2452.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4\/7, -2\/3, -1.23, -5, -2376?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:31 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1983016 divided by -7.\nAnswer: -283288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 11*v + 5. Let q = -11 - -14. Let x be (8\/q)\/((-3)\/(-9)). What is the units digit of t(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 601. Let u = 702 - y. Let j = u - 139. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2576 or 2574?\nAnswer: 2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -35. Let r = y - 9. What is the lowest common multiple of 1 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1626 and 8\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*z**2 + 73*z**4 - 36*z**4 - 39*z**4 + z**4 + 0*z**3 + 0*z**3 + (0*z**3 - z**3 + 0*z**3)*(-z + 3*z - 4*z).\nAnswer: z**4 - 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4824?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -3*w - 2*q, -19*w + 2*q = -20*w + 148. What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)\/(1\/21). Let h = -13 - i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 5, 5*r - 205 = -4*c. Let f = c - 19. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 424 and 4?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ambmvmvsvbmmmm. Give prob of picking 2 m and 1 v.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 175 (c) -2\/483 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 4119769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.87 - -0.13. Let s = 5 + -3. Let b = -1 + s. Sort i, -3, b.\nAnswer: -3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -183. Suppose 7*z - 3*z - s = 0. Solve -z = 3*p - 0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000776636 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(11\/5)\/s))\/s**(3\/5)*s\/(s**(-3\/8)\/s*s)*s\/s**(16\/7)*s)**(-14) assuming s is positive.\nAnswer: s**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q)\/q*q\/(q*q*q**(-5)*q))**8\/((q*((q*q**(-5))\/q)\/q*q)\/q**(5\/3)*((q\/q**(-3))\/q*q)\/q*(q**(4\/3)\/q)\/q) assuming q is positive.\nAnswer: q**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 (base 8) in base 12?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142633 - 2*u**2 + u**2 + 4*u - 4*u - 142278.\nAnswer: -u**2 + 355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.24781842 to two decimal places.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 v when three letters picked without replacement from elpuulveqeqplpl.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -3*c. Suppose -5*f + 2 = -c*f. Solve f = 3*b + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i = 15. Suppose -i*k - 2*k - 4*m - 26 = 0, -2*m = k + 10. Let n(y) = y**2 - 1. Determine n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 29*n + 5*n to a + p*n and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1558\/10041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/39861 and 113\/618.\nAnswer: 79722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 + 1480*m + 3874. What is x(167)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/20*15\/(-2). Suppose -g + r = 2*g. List the prime factors of 1 + (g + -11)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1875843 is divided by 2465?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from egrg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 5, 92, 265, 554, 989?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -16\/11 - 194\/11*d**3 - 184\/11*d - 324\/11*d**2 - 38\/11*d**4 = 0.\nAnswer: -2, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.6 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14cd0 + 2?\nAnswer: 14cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*1254\/(-2926)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228290 and 33558630.\nAnswer: 33558630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19817.961 months in centuries?\nAnswer: 16.5149675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236446238.169 - 3\nAnswer: 236446235.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/4 + l**3 + 2*l**2 + 3*l - 10. Let a be u(4). Is a - 1 - (-525 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(176))\/sqrt(8))\/(sqrt(8)\/sqrt(4)*-2).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let u = 0 + 0. Let n be -1 + u + f + 3. Solve -9 = -4*v + 7, 4*h = n*v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*x + 12*x - 13*x)*(-3*x + x + 3*x) + (-4*x - 4*x + 7*x)*(-1 + x + 1) + 14 - 14 + 2*x**2 to r*x + b*x**2 + i and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, 2, -3.\nAnswer: -23, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*z**3 + 2*q**2 - 40*z**3 + 1 with respect to z.\nAnswer: 3*q**2*z**2 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**8\/20160 - m**7\/1680 - 3*m**5\/10 + 15*m**2. Let h(n) be the third derivative of o(n). Determine h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(3))**2 + sqrt(3) + -5 + -3*(sqrt(3) + 3))*2 + 4 + (sqrt(363) - sqrt(363)*1) + -2*sqrt(3) + -2 + 4.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/210 - v**6\/150 - 7*v**5\/100 + 2*v**4\/15 + 2*v**3\/15 - v**2 - 15*v. Solve y(d) = 0.\nAnswer: -2, -1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 217682, 216913, 216144, 215375, 214606?\n\"Answer: -769*c + 218451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(2*d**2 - 2*d**3 - 2*d**2) - 175*d**2 + 175*d**2 - 14*d**3 + 2*d**3 - 5 - 4*d**3 + 3*d**2 + 3.\nAnswer: -22*d**3 + 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10271*-0.03\nAnswer: 308.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 8*w + 3*w = 6547, 4*d - 2*w = 1246. Calculate the greatest common divisor of 3328 and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9412 by 1.\nAnswer: -9412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(5\/7))\/n)\/n)**(-13) assuming n is positive.\nAnswer: n**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + -4d?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -592, -886, -1180?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106522 and 19006?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -21*u - 21*u - 464 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-108)\/(-8))\/((-5)\/(-10)). Let j = 29 - r. Suppose 2*z + 4*y - 216 = -2*z, -55 = -z - j*y. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213\/235 + -5\/47. Let q = 152685 - 152684.9. Which is the nearest to -3\/7? (a) q (b) n (c) -1 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3801, 7581, 11361, 15141?\n\"Answer: 3780*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.818765 nanometers to micrometers.\nAnswer: 0.003818765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38503.96 - -39233. Let d = 708 - k. Let a = 20 + d. What is a rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 318*c**2. Let n be v(-1). Let y = n - 5404\/17. Let h(b) = -6*b + 96. Let s be h(16). What is the nearest to 2\/3 in y, 3, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 385.9, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3.5, 3, -7\/17, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Which is the closest to 1? (a) 1.1 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67*25*9\/(-225)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10057725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213 + 485 = 397*t - 1081 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -32806376 divided by 349004.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q + 184*q = -1855 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172\/17*l - 2\/17*l**2 - 10 = 0.\nAnswer: 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -399 + 402. Suppose y + 21883 = o - z*y, -2*o - 2*y = -43776. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54424?\nAnswer: 2, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - d**2 + 3*d + 4. Let n(q) be the second derivative of q**5\/10 - q**4\/12 + 2*q**3\/3 + 5*q**2\/2 + 7*q. Calculate -4*g(k) + 3*n(k).\nAnswer: -2*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -81 - (-1 + -10) - 17) + -41.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3358 (base 10) to base 12\nAnswer: -1b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 1190, 1807, 2458, 3149, 3886, 4675, 5522?\nAnswer: 6433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 300*d**2 - d + 4. Let n(z) = 300*z**2 - z + 3. Let g(w) = 4*n(w) - 3*r(w). Let o(k) = -k - 10. Let p be o(-11). Is g(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(2\/7))*f*f\/f**(-1\/8)*f**(-4\/3)*f\/f**7*((f**(-4)\/f)\/(f*f**5))\/((f\/(f\/(f**1*f*f)))\/f*f)**(1\/3) assuming f is positive.\nAnswer: f**(-2843\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - -3522. What are the prime factors of g?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313102250 (base 6) in base 2?\nAnswer: 10100110110101110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + i - 9. Let q(f) = -40*f + 41*f - 6 - 1. Let k be q(4). What is the smallest common multiple of 16 and o(k)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1330, -1309, -1286, -1261, -1234, -1205, -1174?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-5)\/(-10). Let t = 39 - 9. Let w = -30.3 + t. Which is the biggest value? (a) 3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -33, -73, -141, -243, -385, -573?\n\"Answer: -g**3 - 5*g**2 + 4*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:34 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 7*p + 4. Suppose -7*t + 3*t - 28 = 0. Let w = t + 14. Let k be m(w). What is k rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 16*b**2 - 4735*b - 9425. Determine k(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 4, c: 10}. Give prob of picking 1 c and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(11\/5)\/(v*v*(v**(-2)\/v)\/v*v*v*v*v**(-2\/19)\/v))**(-34) assuming v is positive.\nAnswer: v**(-14552\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 1.0802\nAnswer: 36.7268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1000211001002122?\nAnswer: 1000211001002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 71*q + 2*q**2 + q**2)*(-2*q**2 + 3*q**2 - 2*q**2).\nAnswer: -2*q**4 - 71*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 - 2*u**3 - u**2\/2 + 2*u = 0. Calculate u.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2114219 - -3574234. Suppose 3649995 = -5*l - o, 0*l = 2*l - 3*o + f. What is l rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -2\/3*p**3 + 19*p**2 + 0*p + 0 - 5\/8*p**4. Find the first derivative of a(o) wrt o.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (6 - (10 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 438\/146*-2*8\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 9:08 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.24621 millennia in months?\nAnswer: 602954.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -12 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a64 - -1?\nAnswer: -2a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 125417 = 370. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwviit. Give prob of sequence tvt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d = 5*n + 57*d - 35, 2*d - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 900323.4 weeks in microseconds?\nAnswer: 544515592320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3733, 6, -1, -130 in increasing order.\nAnswer: -3733, -130, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 - 6*k**2 - 45*k - 298. What is r(-5)?\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 107. What is the greatest common divisor of y and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2 + 6*k**3 + 13*k**2 - 13*k**2.\nAnswer: 2*k**2*(3*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 10*f + 5. What are the prime factors of a(13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiee when four letters picked without replacement from {y: 9, e: 2, i: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.156? (a) -3 (b) 6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6\/10 + 41 + -38).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188352 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -1. Let m = p + -0.3. Let d = 260 - 521\/2. What is the nearest to m in 2, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2) + 1 + -2 + 1)*3 + -4 + -1 + sqrt(288) + -5 + 1)**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383131 and 441.\nAnswer: 3448179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1484, 2113, 2742, 3371, 4000?\n\"Answer: 629*x + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 46*u + 45*u - 87*u - 2 + 0*u.\nAnswer: 4*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110634, 110645, 110658, 110673, 110690?\n\"Answer: p**2 + 8*p + 110625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 494\/5 + -4676\/45. Find the common denominator of d and 17\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 9) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2872*k**3 - 14*k - k**2 + 2913*k**3 + 15*k to w*k + l*k**3 + m*k**2 + o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -1 - 5) + 715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:46 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736498497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365181849?\nAnswer: 3, 40575761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and 11494924079?\nAnswer: 11494924061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15310684 is divided by 1153.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.8 + 16. Let l = 43645.458 - 43647.2579923. Let g = l - u. Round g to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/3 - 11. Suppose 3*k = -2*v, -k - 14 + 1 = 5*v. Which is the smallest value? (a) 0.1 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1641328732 and 0.5.\nAnswer: 1641328732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 1152*v**2 + 4644*v - 4656 = 0. What is v?\nAnswer: -388, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121454195 plus -0.716114?\nAnswer: -121454195.716114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791*v - 4387*v - 823*v.\nAnswer: -4419*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 520*v + 134 + 441 - 4*v**2 + 481 = 0.\nAnswer: -2, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(((-3)\/2)\/(-3)). Suppose -3*d - 2 = -5*f + 4, 4*d + o = 0. Let t = 419 - 416. Put 2, -2, t, f in decreasing order.\nAnswer: t, 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v - 3*v)*(-3*v**2 + 4*v**2 + v**2)*(1 + 11*v - 2*v + 4*v).\nAnswer: -104*v**4 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92.836 - -96.836. Suppose -5*x - 7 - 13 = 0. What is the nearest to 5 in x, t, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**8\/84 + 12*y**7\/35 + 3*y**6\/2 - 4*y**5\/15 - 10*y**4 - 30*y**2 + 6*y. What is b in a(b) = 0?\nAnswer: -15, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x - 55*x - 76*x.\nAnswer: -169*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0) + -1 + 16\/4. Let m = 523 - 522. Solve -4*b + a = m, -9 = -3*b - c*a + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + 334.16052?\nAnswer: 334.22052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.94731 rounded to one decimal place?\nAnswer: 123.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/20 + s**4\/3 - 11*s**3\/6 - 17*s**2 - 757*s. Calculate u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 59.6\nAnswer: 2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -128*s + 273. Determine d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13072333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*t = -33, 3*j + t - 4*t - 3 = 0. Is 14368\/20 - j\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -4, 0.1, 1\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (-1*sqrt(99)*-4 - sqrt(99))) + sqrt(99))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6\/11))\/f**(7\/2))\/((f*f\/(f*f**(2\/7)*f))\/f)**1 assuming f is positive.\nAnswer: f**(-271\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -t + 6, -2*t + 3*o - 7*o = -20. What is the derivative of -73*c**2 + 2 - 8*c**3 + 73*c**t wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -37*v + 1. Let g(m) = m**2 - 407*m + 11. Let b(o) = g(o) - 11*r(o). Let f(d) = -154*d - 1. Calculate f(b(z)).\nAnswer: -154*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1289, 0, -3, 1 in increasing order.\nAnswer: -6, -3, 0, 1, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4919\nAnswer: -5\/4919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1520551 (base 6) to base 11\nAnswer: -60409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -87. Suppose -t = -8*c + 322. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/352 and -68\/231?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 98267?\nAnswer: -2\/98267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let b(v) = 3*v + 2. What is b(s(g))?\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + -3 + (-198)\/(-3). Let m(l) = 66 - u + 3*l**2. Let y(c) be the first derivative of -8*c**2 - 27. What is y(m(s))?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*j + 32 = -246*j. Let n be (j\/8 - 2\/(-6))*-3. Solve -3*h + n = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4*l)*(-l**2 - 2*l**2 + 4*l**2) - 68*l**2 + 2*l**3 + 68*l**2 + 2*l to d*l**3 + m*l + x*l**2 + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188910, 377825, 566742, 755661, 944582?\nAnswer: 1133505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 9 - (-6 - -5) - (-2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 15*k + 12*k**4 + k**2 - 39*k**4 + 29*k**4 + 25*k**3 - 25*k**3 as q*k**2 + p*k + t*k**4 + a + x*k**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -88*a**2 - 209*a - 208. Calculate z(-1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-860)\/(-85) + (26 - 36).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(56)\/(sqrt(8)*2) - sqrt(35)\/(sqrt(30)\/sqrt(6)))**2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p - 632000. What is p rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.8904 decades in months?\nAnswer: 7306.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Suppose 4*c + 5*s - 3*s + 32 = y, 2*c + 4 = 2*s. Is c*(-2 - (-15)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose -d*t + 16 = t. Does 8 divide 59\/3 - t\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339.00349 - 339. What is h rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Let k = f + 2. Suppose -k*s = -2*s - 95. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(612)*2 + 1 - 5*(sqrt(612) + -2)) + ((sqrt(612) + sqrt(612) + 0 + sqrt(612) + sqrt(612))*-2 - ((sqrt(612) - sqrt(612)*-5) + 0 + sqrt(612))).\nAnswer: -108*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/113898 and 37\/8334.\nAnswer: 341694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247 - -251. Solve a + 1 + 7 = -n, 2*a + x*n = -22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3306949 is divided by 981?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/425 and -61\/4050.\nAnswer: 68850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*-2*-2)*3)\/(-3*sqrt(77)\/(sqrt(11) + sqrt(55)\/sqrt(5))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9324)\/28934 + (-8)\/23*3\/(-12).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 0. Suppose -4 + l = x + 3*g, -5*g = 3*x - 8. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Put 1, 6, m in ascending order.\nAnswer: 1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 720.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4\/7, 2\/17, 4\/5, -7, -4 in ascending order.\nAnswer: -29, -7, -4, 2\/17, 4\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24004323 - 2400?\nAnswer: -24011123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 108*a + 810. What is u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 20*s - 12*s in the form z*s + g and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**3*i**2 - f**3*i - 3546*f**3 + 754*f**2*i**2 - 30*f*i**2 wrt f.\nAnswer: 42*i**2 - 6*i - 21276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1401687212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13281\/4? (a) 0.5 (b) 0.4 (c) 0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/26 and 23\/91?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 7. Let y be (-5)\/((-15)\/12) - n. Suppose y*k = 7*k - 4. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 1 = 0, -5*i + x + 13 = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -10 - (-28 + 1 - -36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - -3) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, 6.\nAnswer: -5, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 15838?\nAnswer: -47514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*q = -32*q + 29*q + 13832 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46629)\/28574 + (-27)\/126?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 372*n**2 + 237*n**2 + 12*n**2 in the form x*n**2 + u*n + m and give x.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61808 is divided by 331.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-5)\/(-5) - 4). Is k*(-239)\/(-3) + -4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j - 2748 - 2819 + 2*j)*(2*j**3 - j**3 - 2*j**3).\nAnswer: -3*j**4 + 5567*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0376 and -0.07868.\nAnswer: -0.11628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 + -90. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c - 2. Let z be h(-6). Suppose -5*v - 2*m + 5 = 2*m, 0 = 3*v + 5*m + z. Let d be -1 - 2\/(-2*1). Sort 4, d, v in descending order.\nAnswer: v, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102\/1925 + 530836\/5775. Let d = u + -92. Sort 1, -2\/9, d in descending order.\nAnswer: 1, d, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqtdtnttdo. What is prob of picking 3 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*s - 55896 = -5*w - 174*s, 4*w - 44736 = -4*s. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, -45, 3134 in ascending order.\nAnswer: -45, -5, 0, 3, 3134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396024 and 87917328?\nAnswer: 87917328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703*d - 3714*d = -44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1182904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.619 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13351*t**4 - 2*t**3 - 2*t**2 + 19*t - 7 wrt t.\nAnswer: 320424*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16580 = -44*n + 15788 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 13, -29, -97, -197, -335?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9866801 rounded to the nearest one hundred thousand?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/5)\/(-4)*(16\/1456)\/(24\/(-14)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*y + 46*y + 1246 = 0. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228626529 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -224?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49684.32 litres?\nAnswer: 49684320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -652*q - 78482. Calculate i(-127).\nAnswer: 4322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fc + 1dd?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 65. Let k be g(-21). Solve 21*d - 8 = k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714775 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -694 from -7421941.\nAnswer: -7421247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 - 67604*x + 67608 = 0.\nAnswer: -16902, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*r + 28 = -61, 2*q + 5*r = 39. Suppose -2*t + 49 = 69. Let b = q + t. Solve c + 5*o = 3*c - b, -5*c + 3*o = 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-8) + 11\/(-44))*0. Solve 2*q + c - 8 = y, 0 = 4*q - 4*c + 2 - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*a - 72*a + 9*a**2 + 0*a**4 - 2*a**4 - 7*a**6 wrt a.\nAnswer: -840*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12026 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -405508?\nAnswer: 405508.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 25, -38, -1, -0.1, 242, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 3899374*h - 5199160.\nAnswer: -(h - 1299790)*(3*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 305598 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 893 and 3?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = x - 5. Let r be x\/60 - 8\/(-20). Sort 1\/7, 4, r in increasing order.\nAnswer: 1\/7, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -30. What is the highest common divisor of 88 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/7 - 253\/140. Let t be 532\/8*((-18)\/(-7) - 2). Let i = t - 38. Is c at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1767171218 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 40 = 12*f, 3655*f - 3660*f = 4*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 divided by -33?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)\/(u\/(u\/(u\/(u*u\/u**11)))))\/(u\/(u**(1\/10)\/u)*u\/u**(-20)) assuming u is positive.\nAnswer: u**(-349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 522\/27 + (7\/(-3) - -2). Suppose -9*f + 8*f - 5*o = -96, 4*f + o - 308 = 0. Calculate the highest common factor of z and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 3*c**2 - 3*c + 3. Let i(s) be the second derivative of -s**3\/6 - s**2\/2 + 2*s. Let p be i(0). Let h be p\/(-4) + (-21)\/(-12). What is j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 37*b**5\/20 + 10*b**4\/3 - 31*b. What is the third derivative of n(s) wrt s?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -160a69?\nAnswer: 160a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 0*x - 2*x**2 + (-6554*x + 29505100 - 29505100)*(-3*x - 2*x + 2*x) to the form c + l*x**2 + d*x and give l.\nAnswer: 19660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/27 - 17\/27. Let j = -3.2 + 1.2. What is the closest to o in j, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r**3 + 5*r. Let v(y) = -y**3 + y. What is -j(t) + 5*v(t)?\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11664.000031355 + -11664. What is t rounded to seven dps?\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30*(0 - 4\/(-10)). Let q(y) = y**2 - 3*y - 2. Let g be q(6). Is 3 a factor of (b\/g)\/(1\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32499240, 32499241, 32499242, 32499243, 32499244, 32499245?\nAnswer: 32499246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. Let n(r) = -r - 4. Let p be n(-5). Let l = -277.5 - -278. What is the nearest to p in -1\/2, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 - k + 3. Let t be q(1). Suppose 0 = -5*a - 3*w + 3970, t = a + 24*w - 29*w - 822. List the prime factors of a.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242090.8 millennia to centuries.\nAnswer: 2420908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**5\/45 - 5*s**4\/9 - 2*s**3\/27 + 10*s**2\/9 + 106. Factor j(n).\nAnswer: 2*n*(n - 10)*(n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q - 13. Let c be x(3). Let n(b) be the third derivative of 0 + 1\/60*b**5 - 7\/24*b**4 + 0*b**3 + 0*b - 10*b**2. Determine n(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442821 divided by 1\nAnswer: -442821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**5\/20 - 2*b**4\/3 + 17*b**3\/6 - 5*b**2 - 80*b - 50. Let a(m) be the first derivative of q(m). Solve a(p) = 0 for p.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8 + 22. Let r be (-52 + -6)*(-3 + 2). Let q = r + -29. Calculate the remainder when q is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - (-5 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z. Let y be 0 + 0 + (-8)\/(-12). Are z and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-6 - (-207)\/45)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q**2 - 16*q + 25. Let j be b(-2). What is the nearest to 1.54 in j, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 16*r)*(-2*r**3 + r**3 - 2*r**3) in the form v + o*r**2 + p*r**4 + d*r + l*r**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8dbc5 (base 16) to base 11\nAnswer: -3671a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*a = 45, 3*a - 10 = -29*h + 24*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19175790 by 3.\nAnswer: 6391930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -609 - -615. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 9149 = p - 9163, 4*b - 2*p + 28 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002303223 - 10?\nAnswer: 2002303213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 17*k - 9. Let f be l(-11). Let w = -24 - f. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 + 6*j**2 - j - 6. Let o(x) = -13*x**3 + 13*x**2 - 2*x - 13. What is -13*g(b) + 6*o(b)?\nAnswer: 13*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17)*2*-3 - (1*sqrt(187))\/sqrt(11))*4.\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101012 (base 3) in base 13?\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (684\/570)\/((-2)\/(-15)*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (65\/390)\/((-3)\/(-29196)). Which is greater: c or 1621?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0303 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 3*b**2 + 4*b. Let v = -7 + 0. Let h(u) = -4*u**3 + 7*u**2 + 9*u + 1. Calculate v*y(f) + 3*h(f).\nAnswer: 2*f**3 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 543*w + 2 + 2*w + 179*w - 7. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4 = 3*h, 5*h - 23 + 22 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(20) + sqrt(5) + 2 + -3)**2 + 5*(sqrt(405) - (sqrt(405) - (sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405)*-3 + 2)))**2.\nAnswer: 6*sqrt(5) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 6*h**2 + 12*h + 66. Suppose -4*v = -63 - 233. Calculate the remainder when v is divided by s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.061 + 1.361. What is the second biggest value in 2, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -2*n + u + 35, 4*u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299684.\nAnswer: 2, 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437875552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*u - 3, -4*d + 0*u = -5*u - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4172224183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o + 2. Let w be f(3). Let j = 35 - w. Suppose -5*b = 2*z - j + 31, 0 = 4*z - b. Are 0 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624061 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17821 + -1?\nAnswer: -17822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60279 is divided by 19242.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/((b\/b**1*b)\/b) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 3.7. Let x = -8 + u. Which is the second biggest value? (a) 1 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46146.97 + -45749. Let u = v - 398. Which is the closest to 2\/5? (a) 0.5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 minus 0.44911609?\nAnswer: -0.39411609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 23 + 26 + -44.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125311446 and 117?\nAnswer: 125311446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -630242184.1 rounded to the nearest 10000?\nAnswer: -630240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972943459.\nAnswer: 71, 103, 233, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*i - 505*i - 28 = 4*f + 34, 25*i = 2*f + 86 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/7 + 1\/42. Let i = 1207\/9 + -134. Which is the nearest to -2? (a) i (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 + -1 - (-2371257)\/(-2706). Let q = 9630\/11 + m. What is the common denominator of q and -54\/7?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 1\/120*v**4 + 153*v**2 - 7\/300*v**5 + 7\/30*v**3 - 1\/600*v**6 + 0 + 0*v. Find x, given that i(x) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14402*p**2 + 45*p - 325. Let t be r(15). What is t rounded to the nearest ten thousand?\nAnswer: -3240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - -1*sqrt(171))*5)\/sqrt(9) + 4 - (sqrt(95)\/((1*sqrt(25))\/sqrt(5)) + 3)**2.\nAnswer: -24 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8\/5 - 4\/5*t**3 - 8\/5*t**2 + 4\/5*t = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 7128945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415576 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 98. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 47. Suppose 10*m - 191 = p*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5977471*-0.2.\nAnswer: 1195494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05907 + -2.\nAnswer: -2.05907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 13*g**2 - 4*g - 2. Let s(f) = -f**3 + 11*f**2 - 2*f - 2. Let n(a) = -3*s(a) + 2*x(a). What is n(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 62. What is the third smallest value in -0.04, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 > -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.0241nm in centimeters?\nAnswer: 0.00001550241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1488 and 55315904.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8028*g**3 - 15419*g**2 wrt g.\nAnswer: 48168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1257925*0.53.\nAnswer: -666700.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -830c (base 16) to base 5\nAnswer: -2033143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91132038 - -0.4.\nAnswer: -91132037.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1296983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4036 - -14443?\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4777511.62 to the nearest ten thousand.\nAnswer: -4780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8840759ml?\nAnswer: 0.0008840759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - w**2 - 2*w**2 + (0 + 0 - w)*(-w + 0*w + 0*w) - w**2 + 2*w**2 + w**2 + 7*w**2 - 3*w**2 - 2*w**2 + 381*w**2 - 382*w**2 + 2 + 9.\nAnswer: 5*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42623225 + -7834?\nAnswer: -7837.42623225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(10)\/sqrt(2)*2)**2*5 + 3 + 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611469541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4788, -4662, -4302, -3588, -2400, -618?\n\"Answer: 20*f**3 - 3*f**2 - 5*f - 4800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-1113*z + 1113*z + 1248*z**2 + (z - 3 + 3)*(2*z - 4*z + 3*z)).\nAnswer: 1249*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, f: 1, i: 1, v: 2, p: 1}. Give prob of picking 1 f, 1 p, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 5. Let w(t) = -3 - 1 + 6*t + 1. Let b = -320 + 316. Determine b*m(k) + 7*w(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 - -282. Suppose 0 = -4*h - 20, -3*h + 27 - 86 = -4*t. What is the highest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1491841 by 696.\nAnswer: 1491841\/696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-231)\/(-14))\/((-2)\/4))\/(7698\/(-12830)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -4, 1, 0.04, 5, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 258 = -5*f, 5*k - 320 = -5*f - 60. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/2*(510\/20)\/(-51))\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 452415.709 rounded to the nearest one thousand?\nAnswer: 452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - m**2 + 5*m**2)*(0*m + m - 2*m) - 76*m**2 + 9*m**3 + 76*m**2 to the form k*m**2 + q*m + n*m**3 + w and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2927 + 3*p - 2927)*(3 + 3 - 5)*(-4*p + 5 - 5) in the form k + w*p**2 + h*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (-3 - -22)) + -14 - 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 408, 407, 408, 411, 416, 423?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 126, 0.5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169592 is divided by 306.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -660576 divided by 5898\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 682*h + 9. Let l = 539 + -538. What is the tens digit of u(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1629 (b) -1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 6*r - 344 = 0. Let l = -94 + r. Let i be 27\/(-6) + ((-18)\/l)\/(-3). Which is greater: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -28*m**2 + 28*m + 81. Let n(o) = -9*o**2 + 10*o + 27. Let d(h) = -4*i(h) + 11*n(h). Does 5 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672685020 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20613616 (base 7) to base 8.\nAnswer: 6535161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*1 - (60\/9 + -13)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, g: 1, p: 2, j: 4, u: 2, o: 2}. What is prob of picking 1 g and 2 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5044466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 0*m)*(-m**4 - 19*m + 19*m) - 2*m - m**5 + 2*m + (3*m**4 + 3*m**4 - 5*m**4)*(m - m - m) - m**5 - 2*m**5 + m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h**2 + 14. Let p(i) = i**2 - 1. Let d(x) = 28*p(x) + 2*q(x). Let j(k) = 7 + 26*k**2 - 7 - 23*k**2. Give j(d(t)).\nAnswer: 48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815 times -0.4?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3 (c) -391 (d) 2\/11 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 1:18 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (23 + -23) - -25) + 16\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 12\/(-16). Let s(n) = -4*n**3 - 2*n**2 - 2*n - 1. What is s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)).\nAnswer: -25344 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 2024756376?\nAnswer: -2024756375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c**2 + 2*c)*(477*c + 71*c**2 + 444*c - 884*c).\nAnswer: 71*c**4 + 37*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -29629)*(36 + -47 - -12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -13. Is (-2)\/t + 1981\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2045*h**2 + 10*h - 1?\nAnswer: 4090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -824, -0.009.\nAnswer: -824, -16, -5, -0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Find j such that -1 + 0*j + 1 + 2*j**3 + 2*j**2 - t*j - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40746*o**4 - 26288 wrt o.\nAnswer: -162984*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 0*k**2 + 0 - 7. Let w be l(3). Solve 2*x + d = -5, -w*x + 2*d - 20 = -2*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - h**2 - 3*h + 1. Calculate u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*m + 65 - 130 + 65 - 1050*m.\nAnswer: -1791*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c77ca - 3?\nAnswer: c77c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 13 = -25*f. Let s = -1.441 - -1.741. Which is the biggest value? (a) s (b) f (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -574 + 578. Let u(o) be the third derivative of -g*o**2 + 0*o**3 + 0*o**5 + 1\/30*o**6 + 0 - 1\/8*o**4 + 0*o. What is the second derivative of u(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.03 - -44.93. Let u = 78.9 - l. Sort 1, u, 0.\nAnswer: 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*d + 72. Let w = d - -113. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 - 2) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -6*y - 424. Suppose -36 = 7*o - y. Suppose o*t = 13*t - 171. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 1 (c) -81.82 (d) -0.648\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(108))\/(-4*sqrt(28)).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463*n + 3021*n - 1509*n.\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2 + 2 - 3 + f. Let b(n) = 4. Let t(g) = -15. Let y(s) = 22*b(s) + 6*t(s). Let o(l) = 2*d(l) + y(l). Let w(m) = -m**2. What is w(o(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -1\/8 (c) 0.05 (d) 4 (e) 103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*x - 11910 = -1290*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 + -110.913. Let u = 0.013 + a. Let k = 0.1 + 3.9. Put u, 1\/4, k in decreasing order.\nAnswer: k, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/7 (b) -1 (c) 34735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z + 2*k + 10, -4*k = 0. Let v(f) = 9*f - 43. Let g be v(5). What is the nearest to g in z, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15189395 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 15*b**2 + 5*b - 35. Let n be o(15). Let x = 72 + n. Let q = 45 + x. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*y = -4, 0*f + 5*y = -4*f + 6. Solve -5*i - 9 = 4*r + 2, 7 = -i + f*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 183, 181, 179, 177, 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0. Let j be 1 - -2 - (-9 + 9). Which is the biggest value? (a) 2\/5 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 2*r**2 + 17 + 2*r - 1. Let z(g) be the second derivative of 0 + 1\/3*g**3 + 130*g + 0*g**2. Give n(z(j)).\nAnswer: -8*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 7, c: 5}. Give prob of picking 1 q and 1 c.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34008757 divided by -1.\nAnswer: -34008757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 + 4 = 0, l - 5*n + 24 = 0. Let u be (1\/2)\/(l\/4). Let x(f) = 0*f**2 + 7*f**3 - 2*f**2 - 6*f**3 - f. Calculate x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*n - 4\/9 + 2\/9*n**2.\nAnswer: 2*(n - 2)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185135.\nAnswer: 5, 61, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5 = -3*z, -70*z - 2*a = -74*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-9)*(2 + 19\/(-12))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473216.975 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = -3*h, 10 = 2*t + 2*h - 22. Let s = t - 13. Suppose s*q - 6*q - 4 = 0. Which is the closest to 1? (a) -2\/7 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**2 + 4*c**3 - 3*c**3 - 30*c**2 to the form i*c**2 + y + t*c + h*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*f + 3 + 2 + 1 - 1943*f.\nAnswer: -1810*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3679, -7394, -11109?\n\"Answer: -3715*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -21 + 11*w**2 + 60 - 13 + 2*w - 27 - 4*w. Let c(j) = -j**2. Give 6*c(x) + f(x).\nAnswer: 5*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -83*w - 314. Let x(a) = -103*a - 314. Determine 5*s(p) - 4*x(p).\nAnswer: -3*p - 314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1486 and -0.0031.\nAnswer: 1485.9969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -764*z - 38. Let w = 202 - 214. Let x be d(w). Round x to the nearest one hundred.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 696.\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7182 - -157957\/22. Let r be (-16)\/732*(-189)\/8. Let y = r - 3497\/1220. Calculate the common denominator of y and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6956 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -34.8, 1\/3 in ascending order.\nAnswer: -34.8, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = k - 94, -2*d = -5*k - 138 + 548. Suppose 0*z = 4*z - k. Let m = z + 9. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3847\/20 - 803\/4. Calculate the common denominator of (-31)\/(-6)*(1 + 0) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 1 (c) -8 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 130844*q - 130847*q - 20, -3*q = 4*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 1158. Let y be o(0). Suppose y + 638 = 4*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863233761?\nAnswer: 3, 13, 22134199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/13))**(-12)*s*s\/(s\/s**(-1\/15))*((s*s**(-3\/2))\/s)\/s)**(-2\/27) assuming s is positive.\nAnswer: s**(-109\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/26964 and 151\/3115728.\nAnswer: 333382896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 13815499.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 73387385?\nAnswer: -73387383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1\/7*x**7 + 0*x**6 + 0*x**4 + 0*x + 0*x**2 + 2 + 4\/3*x**3 + 0*x**5. What is the third derivative of j(k) wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 8) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 919, 965, 1053, 1183, 1355?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g - 3. Let y(c) = -162*c - 15. What is -4*f(i) + y(i)?\nAnswer: 4*i**2 - 170*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 173770*p + 27580480.\nAnswer: -5*(p - 158)*(p + 34912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h**5*x**3 + 40*h**3 + 3*h*x**2 + 25*x**3 wrt h?\nAnswer: -180*h**3*x**3 + 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3940 * -6.1298\nAnswer: -24151.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357098 - 240.\nAnswer: 356858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -903.1 in -2, 0.2, 2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*t**2 + 2 - 8 + 6 + 50*t**2 to the form o*t + d*t**2 + v and give d.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 - 51. Suppose -w = -4*r - 27, -5*w + 2*r = -67 - 32. Calculate the greatest common factor of w and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -12*h - 35. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 + 0*x**2 + 2*x**2)*((-5*x + 5*x + 2*x)*(5 - 5 - 2*x) - 1 + x**2 + 1) to the form b*x**2 + l + w*x + i*x**3 + v*x**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*w = 19, -265*g + 264*g - 9*w + 23 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136670.\nAnswer: 2, 5, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Let y(x) be the second derivative of -x**6\/360 + x**5\/120 + 5*x**4\/24 + x**3\/3 - 4*x. Let f(g) be the second derivative of y(g). Give f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -3*l. What are the prime factors of (-1)\/l + 14\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 656, 614, 550, 470, 380, 286, 194?\n\"Answer: n**3 - 17*n**2 + 2*n + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 81*m + 23. Give p(1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003111131 (base 4) to base 11.\nAnswer: 825033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*-2)\/(sqrt(256) - sqrt(256)*-2))**2*1.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + -3)*(-9)\/(-12). Let f = -6 + h. Solve 0 = -3*g + f - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 2*r**2 + 2*r - 3. Let b be p(2). Suppose 9*y - b = 47. Let k be 9\/(-6)*(2 - y). Let v(d) = d**2 - 9*d - 1. Determine v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7 + 21*k - 11.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50)\/(-10) - (-1850)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 22*a**2 - 21*a + 24. Let s be c(-10). Let x = -333 + s. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*-4*sqrt(187))\/((2*2*sqrt(66) + sqrt(66))\/sqrt(6)).\nAnswer: -16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -9*o - 270. Let z = 332\/11 - o. What is the second biggest value in 2, 14, z, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 12*u**2 - 6619*u - 39712. Give c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -0.1, 1.1 in descending order.\nAnswer: 1.1, -0.1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64407*y + 64999*y + 2960 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*i + 165 = -123. Let k(h) = h + 1. Let m(n) = -n**2 - n - 2. Calculate i*k(j) + m(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(6 + 2 + 3*t - 10).\nAnswer: -6*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -53, -76?\n\"Answer: -23*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 285277 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 1190 = 4*v - 10*l, 0 = -5*v + l + 1502. Does 325 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 155*j + 5. Let u be c(2). What are the prime factors of u\/49 + (-3)\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -12*l + 3636. Let n = -168 + l. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39356 + -0.1\nAnswer: 39355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3723358 to the nearest 10000.\nAnswer: -3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(475) + 3) + 5 - ((sqrt(209)*2)\/sqrt(11) - sqrt(190)\/(sqrt(10) + (-2*sqrt(10) - sqrt(10)))).\nAnswer: -25*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13000 divided by -200\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = -10. Suppose 4*s - 3 = d. Suppose 0 = s*v - 6*v. Are -0.3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, x: 14}. What is prob of picking 2 g and 2 x?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 541*u**2 + 115\/6*u**3 - 1798\/3*u + 1\/6*u**4 - 3364\/3 = 0.\nAnswer: -58, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 369 + 273 = 0. What is the least common multiple of 33 and r?\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 37017?\nAnswer: -11\/12339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - o + 2. Let t be u(0). Let d(z) = z**3 - z. Give d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 13 = -14*p + 19*p, p + 1 = -4*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 - 3758 + 3758.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**(-2\/21)\/(j*j*j\/(j**0*j)*j)**(-2) assuming j is positive.\nAnswer: j**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 + (-2)\/8. Let m(r) = r**2 - 3*r - 2. Let u be 2\/(-4) + 18\/4. Let l be m(u). What is the closest to 1 in -4, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/24182817 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173194?\nAnswer: 2, 7, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111101011110110 (base 2) in base 12?\nAnswer: 63132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -290*c + 0 + 14\/5*c**5 + 0*c**2 + 1\/6*c**3 - 157\/12*c**4. What is the third derivative of f(x) wrt x?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/179 + 171\/716. Which is bigger: -77 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*s - 2 = 5, -4*v = 2*s - 14. Solve 4*o + 4*h = -0*h - 16, -4*h - 12 = v*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011110100000100011 (base 2) in base 3?\nAnswer: 1012222121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 13*n - 1229. Let i = -427\/4 + n. Is 1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 6796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 34*t**2 - 19*t - 299. Let b be z(-17). Solve 39*y - b = 35*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/8 + 5*x**4\/8 + x**3\/4 - x**2 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 19\/3, -0.3, -0.2, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 11912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*b - 6*b**3 + 184*b**2 + 242*b - 367*b**2 + 179*b**2.\nAnswer: -6*b**3 - 4*b**2 + 372*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 0*a + 4*a + (-2 + 1 - 2)*(a - 8*a + 0*a))*(1 - a - 1).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 24. Calculate a(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 585*r**2*z + 498*z wrt r.\nAnswer: 1170*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1035 and 82104.\nAnswer: -84977640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.891 + 0.109. Let f = 144 - j. Sort -1\/11, 0.4, f in descending order.\nAnswer: f, 0.4, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14437919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - r**2 + 2*r + 2. What is g(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 528, 542, 580, 654, 776, 958?\n\"Answer: 2*b**3 + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*y = -512*y + 836. What is the second biggest value in y, 11\/3, 2\/35?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-207)*(-546)\/(-2548)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*x - x + 91560, 0 = -h + 4*x + 18287. Suppose 8*v - h = 5477. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31430 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23031.\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*(-3)\/(-2). Is (5 + -3)*419\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/1*4\/10. Let v = 20 + w. Suppose 0 = -o + 3*h + 36, 0*h = -3*h - 15. Calculate the remainder when o is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688874701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111021?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790 and 116999?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 77. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1473361454.9999963 - 1473361515. Let l = -60 - n. What is l rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Suppose 5 = b*r - 71. Suppose -5*x + 1 = -r, 36 = 3*o + 3*x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.13 + 1.63. Let o = w - 4.7287. Round o to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15330*g + 2. Let p be 3*(9\/(-3) - -2). Let z be f(p). Suppose -2*u = -4*o - z, -o = -5*u + o + 114996. Round u to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 88 - 8*o + 50*o + 35*o + 45.\nAnswer: 77*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2032 and 26808684?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 - ((-24)\/60)\/((-2)\/25). Suppose -l + 3562 = m*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/9*(-48)\/40. Sort t, -9, 4 in decreasing order.\nAnswer: 4, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.72515206 rounded to one dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -42.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65441 take away -0.027944?\nAnswer: -0.626466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:39 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -52*2\/2. Suppose 5*v - 30 = -4*s, -4*v = -4*s + 2*s - z. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and -0.0259.\nAnswer: -0.08547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5633 + 8124. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1732 (b) -0.2 (c) 62 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from {f: 1, l: 4, q: 1, p: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100000 (base 2) in base 11?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x + 81*x + 61*x - 33*x.\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 2*b - 235 = 19*t, -5*b = -3*t + 250. Let i = t - 78. Which is greater: i or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/385)\/(4\/98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3739, -29984, -101229, -239974, -468719, -809964, -1286209?\nAnswer: -1919954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128760198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107549\/18 + 5982. Let g = -32239\/14 + 2295. Calculate the common denominator of g and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 87.86136 hours?\nAnswer: 3.66089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 461.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-369)\/1*1\/(-6)*2)\/((-2121)\/(-707))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 463, 0.1, 2, -3\/40, 1\/6 in increasing order.\nAnswer: -3\/40, 0.1, 1\/6, 2, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -847*q**3 - 2*q**2 + 2*q + 2. Let w(h) = 359973*h**3 + 851*h**2 - 851*h - 851. Calculate 6*w(d) + 2553*x(d).\nAnswer: -2553*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -2. Let w be (3 - (-26)\/(-6))*q. What is the units digit of w\/22 + (-90)\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -50. Let b be 73\/(-4) - 1\/(-4). Let r = -9 - b. Calculate the least common multiple of r and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x. Let w(j) = -155*j. Let o(m) = 153*m - 227. Let g(i) = -o(i) - w(i). What is g(f(a))?\nAnswer: -6*a + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87828, -87829, -87830?\n\"Answer: -t - 87827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let u be (-596)\/(-6) + d\/(-6). Suppose -3*f - 2*a = -f - 66, u = 3*f - 4*a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a**3 - 91*a**3 + 179*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 270 (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*m - 40*m = 9324. Calculate the greatest common divisor of 296 and m.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294657 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*r**2 - c*r + 1704*c - 11019812*r**2 + 452 wrt r?\nAnswer: 6*c - 22039624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbd61 (base 14) in base 7?\nAnswer: -16004451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 17*x + 0 + 0*x**2 + 1\/3*x**3. Let n(f) = 10*f**2. Determine k(n(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o - 16\/3*o**3 + 44\/3*o**2 + 6 + 2\/3*o**4.\nAnswer: 2*(o - 3)**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.0842 (b) 425\/3 (c) -0.086 (d) -0.2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 + 167 = -31*a - 19 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/3)\/(1024\/204 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 23 - 11) + (4 + 0 + -2 - 27).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = 1. Suppose -q*d + 3*l = -0*l - 33, -5 = l. Let h(n) = -n + 5. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3263490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.1132, -0.19, 0.015?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 18*r**2 + 3*r - 2. Let q be f(1). Let t = -8 + q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**2 - 2*y**2 + 40 + 5*y**2 - 184 as b + x*y + f*y**2 and give b.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + 6 + 0 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:19 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/4))\/t)**31)**(8\/5) assuming t is positive.\nAnswer: t**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 40*q**2 + 3*q - 79. Let x be b(40). Suppose 0 = 23*y - 5 - x. Solve -y*r - 3*v = v + 8, 2*r - 4*v = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -847*p - 42. Is 118 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from dbhsdbddbhlvbhhhb.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 401165, 401607, 402049?\n\"Answer: 442*p + 400723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 717837 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6098634137?\nAnswer: 1021, 5973197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.8, -1, 50, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.4. Which is the biggest value? (a) -3 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/12165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hymiyhghgiimy. What is prob of picking 2 h and 1 y?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171342 and 3306.\nAnswer: 4968918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or -145\/8?\nAnswer: -145\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12882 and -3078.\nAnswer: 39650796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + z + z + (-6 + 1 - 1)*(0 + 0 + 2*z) + 0*z + z - 2*z as u*z + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.1, 2794 in descending order.\nAnswer: 2794, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1711.5 - 1711. What is the closest to 0 in 9, 3, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(15)\/sqrt(3)) - (sqrt(85)\/sqrt(5) + 0 - sqrt(17) - sqrt(17))) + 5*(sqrt(1088) + -4*sqrt(1088))**2.\nAnswer: 2*sqrt(17) + 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-60)*10\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8964 and 851414.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -147. Let i be g\/5*-6*10. Let w be (3 + 8)\/(1\/(-2)). Is i at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 51. Let o(r) = -30*r - 9. Let b be o(c). Let v = b + 160. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -4 - (-4)\/2. Suppose 0*t = y*t. Suppose 4*f - 136 = -t*f. What is the remainder when f is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116152 or -116222?\nAnswer: -116152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 2*p + 3*p**2 + p**2. Let i(z) = 5*z**2. What is i(h(x))?\nAnswer: 80*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let c(p) = -271956*p**2. Determine c(a(t)).\nAnswer: -1087824*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 614*a + 2318. Give l(-4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlkkzzkk. What is prob of picking 1 w, 1 l, and 2 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 335 or 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 3)*(4*l**2 - 3*l**2 - 3*l**2)*(1 - 2 + 2) in the form s + a*l + m*l**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2527096 divided by 188.\nAnswer: -13442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -14. Let p = h + 25. Suppose 18*x - 23*x = -175. What is the highest common divisor of x and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -35*v + 13. List the prime factors of o(-9).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/231 + (-86)\/903)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20761.23 to the nearest one hundred.\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-36) - (33\/(-27) - 3). Suppose k*z + 936 = 2*z. Let s = z + 799. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 5095*o**2 + 6*o - 11. Let c(k) = k**3 - 1274*k**2 + 2*k - 3. What is 11*c(s) - 3*v(s)?\nAnswer: 2*s**3 + 1271*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1658, 2748, 3760, 4694, 5550, 6328, 7028?\n\"Answer: -39*t**2 + 1207*t + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(1\/5))**24\/((((q**(-2\/3)*q)\/q)\/q)\/(q*q**0\/q*q*q)) assuming q is positive.\nAnswer: q**(1207\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.038 + 14.138. Let z = g - 13. Which is the third biggest value? (a) z (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1410, 1416, 1422, 1428?\n\"Answer: 6*w + 1404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20732 - -48008. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2)*(-5*m + 2*m + 4*m) - 2*m - 3*m + m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 4. Let t be u(0). Suppose -t*b - 53 = -881. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.7*-0.4\nAnswer: 5.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000651242 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 y when four letters picked without replacement from jyiytiztjiiyjiqiziii?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 12*f. Solve f = 5*r - 3*k - 10, -21 = 5*k + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 1. Let p(j) = -9*j + 2. Let n be -8 + 5 - 3\/(-1). Suppose -3*g + n*g - 42 = 0. Determine g*q(k) - 6*p(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a08 (base 15) in base 14?\nAnswer: -b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cbe (base 16) in base 9?\nAnswer: -42161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40782.29 + -40583. What is f rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -44, -67, -92, -119, -148?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (1*sqrt(77) + sqrt(77) - sqrt(77)))*4)\/((sqrt(245)\/sqrt(7))\/sqrt(5)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -20*a**2 - 7*a - 50. Let z(w) = -7*w**2 - 2*w - 17. Let r(l) = -6*q(l) + 17*z(l). Let i be r(-8). Solve 2*m = -t - 3*m - i, 0 = 5*m + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/5 + 3153*a**2\/5 + 713593*a\/5 - 143349 = 0. What is a?\nAnswer: -213, 1, 3365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/4 + 65*n**3\/4 - 183*n**2\/2 + 179*n - 118 = 0. What is n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 17. Let b be f(-13). Let u(j) = 7*j**3 - 3*j**2 - 4*j + 31. What are the prime factors of u(b)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145846982 is divided by 141599?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 49658053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 969 - 260. What are the prime factors of r?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = 3*n, 2*n + 330 = -m + 336 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37543\/7770 - -2\/1295. Let g = v - 227\/42. What is the second biggest value in -1\/3, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away -108815.9?\nAnswer: 108830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2*y)**(-1\/7))**(-11\/7) assuming y is positive.\nAnswer: y**(44\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015408 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/6)\/(-3) + 2\/5. Let o = -24 - -12. Is w > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(11) - sqrt(396)*2)**2)*3 + ((sqrt(11) + sqrt(44)\/sqrt(4)*4)**2 - sqrt(44)\/(sqrt(4)*-3 + sqrt(4)))*-2.\nAnswer: -sqrt(11) + 3443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12638 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - n**3 - n**3)*(110*n**2 + 52*n**2 + 2 + 742*n**2).\nAnswer: -904*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 4. Let s = -1.16 - t. Let k = -35 - -803\/23. What is the biggest value in k, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.64 and 126 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w. Let m(s) = -51*s - 21. Let x(d) = -5*d - 2. Suppose c - 3*l = 15, -c - 3*l = c - 48. Let a(g) = c*x(g) - 2*m(g). What is j(a(p))?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by 24287?\nAnswer: 104\/24287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 + 13159*f - 52583. Determine h(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508429.7 centuries in millennia?\nAnswer: 50842.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26768*r**2*v**2 - 10*r**2*y**3 + 2*r*v*y**3 - 11*r*v + 119*r*y**3 - 2*v**2*y**2 - y**3 + 4*y**2 wrt r.\nAnswer: 53536*v**2 - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47662448 is divided by 2383121.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 3. Let t be r(4). Let h = 1\/4 - -1\/12. Which is the closest to 0? (a) t (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/72928 and 49\/129?\nAnswer: 218784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 2\/13, -0.6, 4\/9, -1.18?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-490))\/((-260)\/(-1040)) + (95\/(-1127) - 0)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 - 2*o + 1. Let i be t(-4). Let a(m) = m + 18. Let q be a(-15). Is (224\/24)\/(q\/i) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 2 (c) 22192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -313360 (base 9) in base 15?\nAnswer: -3a27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 + 1 = 0. Let k be 0\/(-7) + m\/(-6). Let f be 2 - (1 + 3\/9). Which is the second smallest value? (a) k (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321114 (base 5) in base 10?\nAnswer: 10784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 185392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, j: 4, q: 2}. What is prob of sequence jbq?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:52 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11850250 or 3\/5?\nAnswer: -11850250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 2*w + 1. Let a be r(-2). Let b be (-11 - a)\/(1 - 4). Solve p - 4*p = b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9\/3)*(-2)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143627 - 1?\nAnswer: 143626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 2 (c) -1\/8 (d) 513 (e) -373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(56\/(-3))\/7.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.202548 to two dps.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9912\/900 - 11)\/((-7)\/(-42))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11278*d - 1. Let j(z) = -2*z**2. Give j(w(u)).\nAnswer: -254386568*u**2 + 45112*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18233 or 18171?\nAnswer: 18233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i - 2. Calculate the least common multiple of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from cuwfcbcffwcvcvvcvfcc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 != -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -2.5. Which is greater: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -34*a. Let h be g(1). Let c = -31 - h. Suppose 3*q - 132 = -c*q. What is the highest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1124091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z + 147. Suppose 2*p + 45 = z. What is the tens digit of (648\/(-126))\/(p\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - t + 0*t)*(5*t + 0*t - 2*t)*(-17 + 33 + 4) - 2*t**2 - 7*t + 7 - 7 in the form s + u*t**2 + g*t and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-11) + (-18)\/(-99). Suppose -3*f - 9 = -5*r - 2, w*r = -2*f + 22. Let y(d) = 12*d**3 - d + 1. What is the lowest common multiple of y(1) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, 6 in increasing order.\nAnswer: -4, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 830 - 829.99997794. What is d rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) -2\/7861 (d) 0.21 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*f**2 + 21*f**2 + 209*f**2 + 43*f**2 to l*f**2 + q*f + z and give l.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -8, -9, -12, -17, -24?\n\"Answer: -a**2 + 4*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19980 and 25298676?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1253.966664 + -668.9634. Let x = r - 585. What is x rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210397667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*z = -5*r + 11 - 53, 12*r + 13*z + 287 = -42*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 9, 46*x - 41*x + 3*y = -9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v\/v**(-5\/7))**14 assuming v is positive.\nAnswer: v**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3944 + -9956. Let d be 91\/18*-237*5. Let z = d - g. Find the common denominator of z and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 6 = -3*n, 2*n - 5*d - 19 = 0. Find the first derivative of 0 - 20*l**n + 3 - 16*l**2 - 1 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.2, -3.17?\nAnswer: -3.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from mmmmmmmnmnnmmmmnmmmm?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -307.006 * -0.3\nAnswer: 92.1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*p**4 + 38*p**3 - 38*p**3 + p**4 - p**4 + 2*p**4 + (p**2 - p**2 - p**2)*(-3*p - p**2 + 3*p).\nAnswer: -31*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 92357 = 2*a - 15533, -3*a + 19213 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31*(-210)\/(-23870)*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366*t**2 + 44*t**3 + 366*t**2)*(2 + 345*t**2 + 8*t - 173*t**2 - 171*t**2).\nAnswer: 44*t**5 + 352*t**4 + 88*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**6 - 63339*g**5 + 16*g**3 + 35*g**2 + 5*g + 9546.\nAnswer: 120*g**3 - 3800340*g**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.6 - 24. Let n = p - 2.4. Which is the closest to 1? (a) -4 (b) n (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3*a = 468. What is the least common multiple of a and 14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/2 + 5*h**2\/2 - 91*h - 16. Let j be 45\/(-12) + 4\/(-16). Let d(a) = 16*a + 25. Determine j*d(w) + 22*y(w).\nAnswer: 2*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6949468 - 6949043.0197. Let j = d + -425. Let z = -0.017 - j. What is z rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 6*x - 8. Let g be (7 + 9)*(1\/2 + 0). Let s be 7\/((-140)\/g) - (-32)\/5. Calculate o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.103187316 to 5 dps.\nAnswer: -0.10319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.9 - -1.9. Let l = 12.1 + i. Which is bigger: l or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*b**5 - 57*b**2 wrt b?\nAnswer: -3240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 9. Let f be w(12). Solve -y + 5*p + 7 = 0, -10 = -f*y + 5*p + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -1 - 204\/(-306)*(-5751)\/2. Are n and -1910 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**5 + 1\/72*t**4 + 0*t**3 + 5\/2*t**2 - 1\/360*t**6 + 0*t + 5. Let w(y) be the second derivative of f(y). Factor w(p).\nAnswer: -p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85db2 (base 16) to base 10\nAnswer: 548274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4 - 122*n**3 - 174*n**2 wrt n?\nAnswer: 48*n - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/3) + (-23)\/(-36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0160215 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*q + 3*q = -12, 14 = 5*g + q. Calculate the greatest common factor of 16 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.11 + 33.126. Let b = s - 59. Let c = b + -0.345. Round c to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1924909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:17 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 + 136. Solve 4*u + 5*v = -26, -2*v = n*u - v + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/6171 and -91\/2244.\nAnswer: 24684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 122259.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 - -0.01. Let w be 6 - (-8 + (-108)\/(-8)). Sort -4\/11, w, b, -1 in ascending order.\nAnswer: -1, b, -4\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (2 - 4) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 5 + 6 + 7)*(-26*m**3 + 219*m - 3 - 212*m + 17*m**3 + 2*m**2) in the form a*m**4 + t + g*m**2 + w*m + o*m**3 and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/8)\/g)\/g*g*g**(-1)\/g)\/(g\/(g**(3\/2)\/g)*g*g**(-4)*g*g) assuming g is positive.\nAnswer: g**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3443068, 6886143, 10329218, 13772293?\nAnswer: 17215368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 263 = -3. Let t(w) = -18*w - 98*w**3 + h*w**2 - 11*w + 42 + 97*w**3 + 4*w**2. Let x be t(29). Calculate the highest common divisor of 210 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -49) + (207 - -2) + -232?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 9\/5, 1\/3, 8, 19?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**3 + l**2 + l - 1. Let m be z(1). Let h(a) = -56*a - 17. Let t be h(m). List the prime factors of (-4)\/10 + t\/15.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - k + 7 = 0, -11*k + 12*k - 13 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 28*m**2 - 2*m + 2. Determine v(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 104 + x + 167)*(x**4 + 2*x**4 - 2*x**4).\nAnswer: x**5 + 294*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*(sqrt(170) - sqrt(170)*1) - 5*sqrt(170)*2))\/(sqrt(100)\/((-2*sqrt(120))\/sqrt(12))*3))**2.\nAnswer: 27200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 26 = c - 0*c, 0 = 5*p + 15. Suppose 3 = -4*l + c. What is the closest to 1.9 in l, -1\/4, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793082500 divided by 31723300.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28965 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**7\/1680 - v**6\/480 + v**4\/96 + v**3\/48 - 6*v**2 + 6*v. Let n(l) be the first derivative of m(l). Solve n(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13902347*t*x - 16*t + 324498 with respect to x.\nAnswer: 13902347*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/56 and -53\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -9 + 7 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/10 - 135\/225. What is the third derivative of -8*v**o + 57*v**3 - 32*v**2 + 53*v**3 + 6*v**3 wrt v?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 + 3024*z**3 - 24441*z**2 - 57942*z - 30480 = 0. Calculate z.\nAnswer: -1016, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151666 is divided by 1410.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/d**21)**37 assuming d is positive.\nAnswer: d**(-1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*m = -47, 2*r + 54 = -5*m - 1. Let u = r + 80. Calculate the highest common factor of 220 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 4*m - 0, -2*m = 2*y - 10. Let o = -12.1 - -12. Let z = o - 4.9. Put y, z, 0.4 in decreasing order.\nAnswer: y, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731956, -1463911, -2195866, -2927821?\nAnswer: -3659776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 9. Is 13 a factor of 33 + (t - 3) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*h**3 + 1\/6*h - 1\/6*h**2 + 1\/6 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 86*w + 8. Let j(n) = 87*n + 12. Let o(l) = -65*l - 9. Let x(h) = 3*j(h) + 4*o(h). What is c(x(b))?\nAnswer: 86*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p. Let j be t(2). Let z(s) = s**2 + 4*s + 2. Let a be z(-4). Solve -n + 0*n = -r - j, -a*r - 3*n = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429 by 233162.\nAnswer: -429\/233162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 20 + 18*h - 12*h - 13*h**2 + h**3 + 9*h. Let r be s(11). Calculate the greatest common divisor of r and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -118f0 - -4?\nAnswer: -118ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1699947 and 33.\nAnswer: 18699417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*p + 6, 0 = -62*l + 67*l + 2*p + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47387\/195 + 243. Let t = -107\/130 + c. Is t at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 3}. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 + 459*w**3 + 10002*w**2 - 568944*w + 2085600 = 0. What is w?\nAnswer: -100, -79, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 78?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366 is divided by 2575?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 3656.\nAnswer: 3655.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-5))\/((-9)\/(-84 + -6)). Sort 11, 0, s in increasing order.\nAnswer: s, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -0.2912509?\nAnswer: 0.005825018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17693547 times 0.5\nAnswer: 8846773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -6*z - 2*z - 142, -37*z - 194 = 52*f - 32*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/4 - z**2\/2 + 18*z. Let s be j(1). Solve 4*l - 4 = s*q - 30, 2*q = 5*l + 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 + 97*w**2 - 153 - 98*w**2 - 163 - 155.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20104398311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 59*o - 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34464194, 34464199, 34464204, 34464209?\nAnswer: 34464214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12, w - 15 = -g + 4. Suppose -w = -4*u + 72. Suppose -u*l + 17*l + 10 = 0. Solve -l*a = -a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1\/2*d**4 - 3\/10*d**6 - 25*d + 0 + 3\/2*d**2 + 1\/14*d**7 - 3\/2*d**3 + 3\/10*d**5. Let i(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) -0.3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6604171 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 421797870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzr when three letters picked without replacement from {z: 1, v: 1, g: 4, p: 2, r: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**3\/9 - 976*q**2\/9 - 7872*q - 145152 = 0.\nAnswer: -108, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 11. Let m(d) = 17 + 510*d - 6 - 509*d - 5. Give -7*m(g) + 4*w(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 645248 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*b - 6 - 7, 18 = -6*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 9 = -7*c. Suppose -c*r = -5*b + 181, 3*b = -0*b + 5*r + 115. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f + 760 - 705 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3710 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, 2\/171 in increasing order.\nAnswer: -1\/6, 2\/171, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 24997068546324 and 0.02.\nAnswer: 24997068546324.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, w: 1, g: 1, j: 2, x: 1, a: 3}. What is prob of sequence qxqa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w - 1. Let f(n) = -7*n**3 - n**2 + 5*n + 16. Let y(x) = -3*a(x) + f(x). Does 25 divide y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 109799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -325422142 (base 6) to base 9\nAnswer: -12030808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 88273431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 1. Let a be (1 + (-1 - 2))*-1. Let s be ((-4)\/(-6))\/(a\/(-3)). Let v(j) = 6*j - 2 + 8 - 2. What is s*v(q) - 4*r(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-942)\/(-628))\/(1095\/(-20)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 1 - 2*x + 2*x + 16*x in the form k + w*x and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 962899 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007544328595 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6399, -12716, -19033, -25350, -31667?\nAnswer: -37984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 1.64 (c) 0.02 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - 51.78. Let r = 46.8 + k. Let u = -0.2 - r. Which is the nearest to 2? (a) -4 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v**2 + 5*v**2 + 10632 - 10632 + 6*v**2 - v as f*v + j + g*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364713464255107894015933\/10973865 - 33234732180058522. Let v = u + -2\/313539. Let r = v - -913. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 3)*(-2*c + 11*c + c).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-1 - 4 - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7078 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 323274243 less than or equal to 323274244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Suppose 7*s + 7*s = 140. Let b = s + r. Solve 17 = 5*f - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305 + -179.1. What is f rounded to 0 dps?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-1) - 154\/(-9))\/(-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 11 - 16)*(-q + 3*q - 80*q).\nAnswer: 312*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15402*f - 495780 = -1184*f + 513698 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-18))\/((-2)\/12). Suppose -c*r = -963 - 549. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 97 = -62*z + 312 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -1444, -1442, -1440?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 75 = 0. Calculate the greatest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-40))\/((-718)\/(-129240))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 8*a - 6267. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164.52 - 169.52. Let l(z) = -z**3 - 2*z**2 + 1. Let m be l(1). Put r, m, -0.08, 2\/5 in increasing order.\nAnswer: r, m, -0.08, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791475665 divided by -1.\nAnswer: -791475665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + 10?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3321 and 2747?\nAnswer: 222507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and 15\/6667382?\nAnswer: 13334764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027 - 3497 = -39*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaf. What is prob of sequence aaf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 7*l - 313. Let z = 2813\/9 + l. Let t = 43 - 171\/4. Sort z, 0, t in decreasing order.\nAnswer: t, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -6*n**7\/35 + n**6\/120 + 2*n**5\/5 - 2618*n**3\/3 + 4714*n**2. Differentiate z(p) with respect to p.\nAnswer: -144*p**3 + 3*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 5\/6*w**3 - 140*w**2 + 0*w - 5\/24*w**4 + 7\/40*w**6 + 0*w**5 + 0. Let n(o) = -11*o**3 + 3*o - 3. Determine -5*n(c) - 3*q(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q + 4. Let p = 1 + q. Is -1\/5 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -178.8 (b) -2 (c) -34.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 + -209.5. Let f(b) = b**3 + 2*b**2 + 1. Let v be f(-2). What is the closest to -1 in v, -0.07, i?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = 25*q - 26*q, -q = -2. Suppose -3 = -3*s + 9. Which is the nearest to g? (a) 5 (b) 0.09 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3773.92 and -68.63855.\nAnswer: 3705.28145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(6*x - 12*x + 60*x).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 - -1.1. Let l = 243.98 + -242. Let o = l + 0.02. What is the nearest to 2\/3 in o, w, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 + -35)*(-65)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.091 from 3398765.\nAnswer: 3398773.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*d + n, 2*d + 3*n + 4 = d. Let c = 878 + -994.2. Let t = c + 116. Is t != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69108, -138235, -207362, -276489, -345616, -414743?\nAnswer: -483870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.352336 to 2 decimal places.\nAnswer: -94.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -1 + (4*-1*sqrt(2))**2 + 3.\nAnswer: sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkki when four letters picked without replacement from kkkkkkkkkikk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 336849 + (2 - 16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from iefbfpibbfn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*g - 135. Let x = g + -17. What is the third smallest value in 0, -1\/3, -18, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 33*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (11 + 10 - 11)) + -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k**2 + 5*k + 34. Let b be d(-5). Let n = 771 + b. List the prime factors of n.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -55258?\nAnswer: -55251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -176. Let f = 4070018219.00000268 - 4070018369. Let c = f + k. Round c to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 43*t. Let x be d(2). Suppose 2*h - 4*r = x, h + 6 - 44 = r. 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: Let s(b) = 3132*b + 275650. Determine s(-88).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let d(c) be the second derivative of c**2 + 0*c**y + 0 + 1\/12*c**4 - c. Differentiate d(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*y**3 + 4 - 9 + 0*y**3 - 3*y**2 to the form q*y + j*y**2 + i*y**3 + c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*w + 2112 = -87*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26*11\/858*-3)\/(2\/28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/8 + 25*k\/8 + 13\/4.\nAnswer: -(k - 26)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/90)\/((-26)\/(-364)). Let m(c) = 2*c + 7. Let n be m(-6). Let w = -8 - n. Sort 1\/5, w, y.\nAnswer: w, y, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1 + 2 + -4)**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqoqoqqioqq. Give prob of picking 4 o.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -21, -19, -17, -15?\n\"Answer: 2*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -622 + 974. Let p(c) = -4*c**2 - 3*c - 12. Let q be p(-8). Let d = q + f. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -13584?\nAnswer: 13583.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-627)\/77 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10702304 is divided by 417?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055319014 to 4 dps.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 341 = 4*k - 2*j, -3*k - j + 244 = 0. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 7. Suppose -3 = -4*i - 15. Let m be 14\/i + (-12)\/(-18). Let a(x) = 3 - 7 - 5*x + 2*x. Calculate m*y(w) + 7*a(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + d = -4045 + 3982, -111 = -8*i + 5*d for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32356.674 microseconds?\nAnswer: 0.000008987965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y - 16*y - 5 + 11. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/105)))\/(a*a*a*a**(-30)\/a)*(a\/((a**(1\/6)*a)\/a)*a)\/a**15 assuming a is positive.\nAnswer: a**(3119\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218078*l**2 + 1565*l**5 - 218078*l**2 - 9143*l**5 + l)*(4 + 1 - 3).\nAnswer: -15156*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12472312453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 269, 264, 263, 266, 273, 284?\n\"Answer: 2*x**2 - 11*x + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -3*r, -2*r - 52*d + 13 = -47*d. Let a be (-146)\/1095 - r\/(-30). Solve a = 4*w - 14 + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 5 - 7 = 0. Let r(n) = -4*n + 17. Let u(y) = -y - 1. Determine c*r(j) + 6*u(j).\nAnswer: -2*j - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 3097, 10427, 24703, 48241?\nAnswer: 83357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from {z: 2, x: 1, s: 2, g: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24848101 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)**34*(m**(-1))**(-38))\/(m**6*m**8)**(2\/137) assuming m is positive.\nAnswer: m**(-4138\/137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.4 - 2073817.\nAnswer: -2073774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 368920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*z**2 + 7*f**4 + 89*f**3*z - f**2*z**2 + 22*f**2*z - 5*f**2 wrt f.\nAnswer: 48*f*z**2 + 168*f + 534*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -60 + 330. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -17*r**6\/40 - r**4\/24 + 670*r**3\/3 + 164*r**2 + 2*r. What is the derivative of l(d) wrt d?\nAnswer: -153*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-1 + sqrt(180) + -5 + (sqrt(180) - (sqrt(180)*-2 + 1 + sqrt(180))) - -3*((sqrt(180) - (sqrt(180) + -2 + sqrt(180))) + -3)))*-5)**2.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -689 - -694. Suppose -x*y + o + 25 = 0, -4*y + y + 15 = -4*o. Solve -y = -5*t - 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 3*r - 46, -4*x = -3*r - 193. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.502 * -2.\nAnswer: 7.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*n - 13 - 72, -5*p = -3*n - 101. What is the third derivative of -55*x**2 - 67*x**6 - 7*x**2 - p*x**2 - 2*x**2 - 15*x**6 wrt x?\nAnswer: -9840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278271 and 1119?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:42 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 523494320 to the power of 1\/3, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7436 + 3809 = 420*x - 593*x for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(1 + -2))\/(-1). Suppose 4*v = -4*o + 160, 5*v = 3*v + 2*o + 84. Let x = 37 - v. Sort a, 4, x.\nAnswer: x, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - n - 14, -42 = 4*g - 3*n. Calculate the common denominator of -107\/10 and (-614)\/g - 12\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32766 and 193500?\nAnswer: 24574500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 + 17*z - 11. Let j be f(5). Let x be (-4 - j - -28) + -3. What is the derivative of x*c**4 + 14 - 67*c**4 + 15*c**4 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*(s*s\/s**(-28))\/s)\/s)\/s**21 assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33681 - -57306. What are the prime factors of k?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n - 12*n + 20*n**2 + 9*n**2. Does 17 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and 1124.\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5500475 and 85?\nAnswer: 93508075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 442, 864, 1418, 2104?\nAnswer: 2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6579 + -324172.\nAnswer: -330751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mmgimgciimgicg.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 529*t**3 - t**2 + 131*t**3 + 2 + 129*t**3 + 16*t + 134*t**3 + 138*t**3 to the form i + y*t**3 + f*t**2 + g*t + q*t**4 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**3 + 56*c**3 + 66*c**3)*(1 - 5 + 2 + (-3 + 5 + 0)*(3 + 0 - 1) + 1 - 2 + 0)*(2*c**2 - c**2 + c**2).\nAnswer: 228*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 238*j - 77.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39792617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 20 - 13) + 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -991 + 30*q**2 - 830 + 1725 as h + k*q + x*q**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 w when four letters picked without replacement from {z: 3, w: 11, p: 3, j: 1, u: 1}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1095, -1154, -1219, -1290?\n\"Answer: -3*r**2 - 50*r - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -11. Let m(k) be the first derivative of -k**3\/3 - 6*k**2 - 30*k + 12. Calculate the smallest common multiple of m(h) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a**2. Let q(r) = 2*r + 2. Let n(p) = -1. Let g(x) = 2*n(x) + q(x). Give u(g(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -614685 at most as big as -614687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947221, -1894439, -2841657, -3788875, -4736093?\nAnswer: -5683311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.072, 6.8, -4607?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 3. Let u(l) = -2*l - 14. Let m be u(-5). Determine d(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (255\/9)\/(3*(-2)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(1900) + -1)**2 + ((-5*(sqrt(1900) + 1))**2 - sqrt(1900))*-1)*-4 + -2.\nAnswer: 1480*sqrt(19) + 235722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a + 4*a - 5*a + 4*a. Determine w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434441 (base 5) in base 12?\nAnswer: 2291a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6*o*q**2 + 100*b**6*o + 10*b**2*o + 2*b*o*q + 156*q**2 wrt b?\nAnswer: 120*b**3*o*q**2 + 12000*b**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (6 - 3 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**3 - 12*m**2 - 7*m + 18. Let l(h) = 10*h**3 + 18*h**2 + 11*h - 26. Determine -8*g(v) - 5*l(v).\nAnswer: -2*v**3 + 6*v**2 + v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s - o - 84 = 0, 3*s + 40 = 5*o. Let r(f) = f**3 + 21*f**2 + 18*f + 19. Let h be r(s). Let q = 82 - h. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 439 - 410. What is the remainder when 317 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4184 + 4236 = -0*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8304 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125, -2239, -3353, -4467, -5581?\nAnswer: -6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10200002\/1 - (2 + 0). Suppose -2*d = -0*d + u. What is d rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 - w**4\/8 - w**3\/3 + 54*w**2. Suppose g - 1 + 7 = -4*q, -3*q - 2 = 2*g. Calculate k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 13*g = -13*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - o**2 + o - 7. Let x(n) = -n**3 - 5*n**2 + 3*n + 15. Let i(z) = -2*z**2 - 24*z + 21. Let d be i(-13). Let a be x(d). Calculate r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 36 = -4*d, 4*z + 0 - 4 = 0. Suppose 6*i = 4*i + d. Suppose -i*r - 99372 = -283372. What is r rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -77\/10*a**5 - 25\/6*a**4 + 0*a**2 + 0*a**3 - 1 - 28*a. What is the third derivative of t(w) wrt w?\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 26*q + 724. Give z(-37).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9*t**(2\/15))\/(t\/t**(-2\/21)*t**(-6)))\/((t**2)**44\/((t\/t**(-2\/5))\/(t*t*t**(-3\/7)*t))) assuming t is positive.\nAnswer: t**(-1127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 10. Let a be q(0). Let b = -10 + a. Let o = -0.2 - 0.3. What is the closest to -1 in o, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 + 199785*o**3 + 82136685*o**2 + 163673995*o + 81737100 = 0?\nAnswer: -405, -1, 40364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 17*z**4\/12 - 11*z**2\/2 - 15*z + 7. Let p(c) be the first derivative of r(c). What is the first derivative of p(u) wrt u?\nAnswer: 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10144.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4135123?\nAnswer: 4135130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312031 + -210?\nAnswer: 311321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4993, -3, -5 in decreasing order.\nAnswer: -3, -5, -4993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 6*p - 3*p + (2 - 6 + 2)*(-5*p + 5*p - 2*p) - 3 + 3 + 2*p + 4*p + 4*p - 7*p + 4*p + p - p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*c**3*q + 294*c**3 + c*q wrt q.\nAnswer: 30*c**3 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 12313 and 12926 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1531*y - 10. Let g(u) = -1525*u - 9. Give -6*g(d) + 5*p(d).\nAnswer: 1495*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -85.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:59 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 176*b + 691. Let r be x(4). Let i(j) be the first derivative of 1\/3*j**r + 5 - 6*j + j**2. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/72)\/((-445)\/1424)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3363348 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - 2e4c?\nAnswer: -2e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/27 bigger than 884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/12 + -6)*(-76 - -66)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 349 - 80. What is the least common multiple of v and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.88636954 rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -164, -394, -728, -1172?\n\"Answer: -s**3 - 43*s**2 + 4*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 5*d - 14*d. Let c(i) = -2*i - 42. Let s be c(d). Solve 2 = -y + 1, -3 = s*w + 5*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 8*y**2 + 3. Let v be (-4)\/18 + (-22)\/(-18). Suppose t = -9 + v. Let j be b(t). Solve -5*z - j = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 6)*(2 - 0). Sort 3, w, 1 in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13827906 divided by 1681.\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 109.\nAnswer: 18\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 50. Let g = 137 + z. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 5. Let t be a(5). Let f be 6\/t - 12\/(-5). Let j(w) = -3*w**2 + 0*w**f + w**2. Let i(c) = -c**2. What is j(i(h))?\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwsw when four letters picked without replacement from wwsssssswws.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*i - 2616*i - 1338*i - 462*i.\nAnswer: -3705*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from zztnztrorzzr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -0.4, 3, -1.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b - 110*b + 314*b + 182*b + 85*b.\nAnswer: 493*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and 25\/514648?\nAnswer: 514648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 3*r**2\/2 - 3*r + 89. What is d(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:23 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 3*i**2 + 13*i**3 - 11*i**3 + 14705 - 14764 - i**4 to y + j*i**4 + k*i**3 + q*i + p*i**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*o + 3102 - 601, 4*o = 5*t - 3333. Let z = 1389 + o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.6 - -13. Let q = t - 1.8. Let o = 0.4015 + q. Round o to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 5*p - 7. Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 21. Let f be r(-23). Suppose 0 = -f*t + 6*t - 80. Solve 8*c = 3*c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 1008 = 74*m + 68*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o + 1. Let c(g) be the first derivative of -g**4\/2 + 13*g**2\/2 - 2*g + 751. What is 6*c(w) + 13*k(w)?\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*q**3 + 75*q**3 + 80*q**3 - 26 + 84*q**3 in the form g*q**2 + a*q + h*q**3 + m and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(133)*1 + sqrt(133)))\/(sqrt(189)\/sqrt(3)) + 3.\nAnswer: 3 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 25*r**2 + 2*r - 40. Suppose 50 = 253*y - 251*y. Calculate the remainder when p(y) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-6))**17\/((r*r\/r**(-10)*r)\/(r\/(r\/(r\/(r**(1\/34)\/r))))))**(-12) assuming r is positive.\nAnswer: r**(-25494\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = b - 51, -89*d - 9 - 6 = -92*d + 3*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z. Let c(i) = -i + 6*i - 2*i**2 - 2*i. Suppose -12 = 31*g - 37*g. Give g*c(y) + 3*d(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1749, -1706, -1639, -1536, -1385, -1174?\n\"Answer: 2*k**3 + 29*k - 1780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -15. Let y = c + 6. Let q be (3\/(-2))\/(6\/y). Which is smaller: q or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224013617.\nAnswer: 3, 17, 61, 131149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71573.9 times 26?\nAnswer: -1860921.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 6:29 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200) - sqrt(200) - sqrt(200))**2 - (1 + sqrt(200)).\nAnswer: -10*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 118*h**4 + 2137*h*y**2 - 771019*y**2 wrt h.\nAnswer: 472*h**3 + 2137*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 3194*o - 946500. Determine j(-273).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 730900*z**4 + 33391714492*z**3 + 300477192764*z**2 + 500758778240*z - 834628416400 = 0. Calculate z.\nAnswer: -91358, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 1.4 (b) 0.4 (c) -0.2 (d) 66.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 5*f + 3*f**4 + (2*f + 2*f - 5*f)*((0*f - 4*f + 6*f)*(3 - 3 + 2*f**2) + 2*f**2 - 2*f**2 + 2*f**3).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -293161.23 * 0.19\nAnswer: -55700.6337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 5*h - 4. Let d be l(6). Determine x so that -3 + x**2 - 11*x**3 + 3*x + 2 + 8*x**4 - d*x**4 + 2*x**2 = 0.\nAnswer: -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/2, 5, -7, 177, -0.2 in increasing order.\nAnswer: -7, -1\/2, -2\/9, -0.2, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:38 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898.459 decades in centuries?\nAnswer: 489.8459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = 5*b, -b = -2*b - 2*d - 5. Let c be 1\/6 - 662\/(-420). Let n = c - 15\/7. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 = -4*c, -c + 5*k + 17 = -0*c. Factor 15 - h - 4 - 9 - h**c.\nAnswer: -(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*l - 5*l - 1916, -3*l + 3*n + 5784 = 0. Let a = l + -1039. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151, 222, 415, 790, 1407?\n\"Answer: 10*b**3 + b**2 - 2*b + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/827 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v)\/(v**(-1)*v))\/(v**0)**27 assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*3\/12 + (-8959)\/(-62).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1362 plus -4493848.575?\nAnswer: -4493848.7112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -64. Let o be (-43)\/(-5) - 8\/i. Solve 3*t - 2*k = 3, -t + 2*k + 2*k - o = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155470002 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0855 * 258.\nAnswer: -22.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1769112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-58)\/(-70))\/(0 + (-4)\/10) and -23\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 600\/7 - 86. What is the third biggest value in s, 0.1, 3, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254894.\nAnswer: 2, 3, 199, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 2, a: 4, q: 1}. What is prob of sequence ac?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*f + 345, -2*f = -5*l + 930 - 15. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnhhfnnnnhnnnnnhhfh. What is prob of picking 2 h and 1 f?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23097*g - 1 + 23095*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 284.2925 * -1\nAnswer: -284.2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/11)\/i*i)**(-6\/11))**14 assuming i is positive.\nAnswer: i**(-504\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113656 to seven decimal places.\nAnswer: 0.0001137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 4 - 14 + 0*z. Let u(o) = -3*o + 9. Let q(k) = -2*n(k) - 3*u(k). Determine q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-1) - (-6)\/3. Let h be (-2)\/(2 + q\/(-6)). Suppose 94 = 3*c - 4*o, 0 = -h*c - o + 33 + 56. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**3 - 3*v**2 + 3*v. Let b be f(1). Let c be 0\/3 + (b - 2). Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162996 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 y be 1 + 10 - -24*(-10)\/40. What is the second smallest value in 3\/7, -2, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:12 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**2 + 17 + 3*f**2 + 47*f + 40*f - 95*f. Calculate p(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1546*a - 1162*a + 19258 = 4666 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2 - 5*x + x**3 + x + 4*x - 5*x**4 to j*x**3 + u + q*x**2 + v*x + c*x**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:14 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/7 - 2876*s**4\/7 + 989630*s**3\/7 + 4576348*s**2 + 15293624*s - 140076560\/7 = 0.\nAnswer: -26, -5, 1, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 + (-443)\/(-7) - (2716\/(-98) - -28)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.8 - 24.9. Sort d, -1, 1, -3\/8 in decreasing order.\nAnswer: 1, d, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**6\/120 - z**5\/60 + z**4\/24 + z**3\/6 + z**2. Suppose -5 = -3*a + 2*a. Suppose -7*o = a*o - 24. Determine n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-2))\/((-25)\/(-200)). Suppose 9*t = n*t. Let x = t - 0. Solve 5*a - 4*p + 8 = a, x = 5*a + 3*p + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135, -235, -335, -435, -535, -635?\n\"Answer: -100*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*p - 10501 = -11496 + 40835 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715119436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**2 + 3*i**2 + 10*i**2 + (-i**2 + 6*i**2 - 3*i**2)*(-21 + 17 + 31).\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:16 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.116 and 22568.\nAnswer: 22560.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134 + 106 - 62)*(-3*n + n + 3*n) to g*n + v and give g.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -233, -1354, -3321, -6116, -9721, -14118?\n\"Answer: 3*a**3 - 441*a**2 + 181*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*b - 11*b = 20, 3*c - 6 = b. Which is bigger: c or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962435167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0 - 2) + (-5)\/(-1). What is the remainder when 149 is divided by 3 - 2 - -4*(23 - j)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30348961 greater than 30348955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let z(g) = g**3 - g**2 + 6*g - 4. Let a be z(5). Suppose -3*b = y*b - 2*l - 156, -4*b = -l - a. Calculate the highest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001115 rounded to five dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 3*z + 47 = 51*b, 4*b - 90 = -z - 53 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3.007997.\nAnswer: 0.9023991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let d(r) = 10*r**2 + 4*r**2 + 23*r**2. What is a(d(z))?\nAnswer: 2738*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74051\/9 - 8214. Let h = f - 634\/45. Sort h, -0.4, -15\/7, -3 in descending order.\nAnswer: h, -0.4, -15\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21*-1)\/((-3)\/2). Suppose -4*r + 21 = -y, 2*r = 2*y - 2 + u. Suppose 2*w = -2*w - 4*v + 24, 18 = w + r*v. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalanwxaabnb. Give prob of picking 1 n and 2 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cc3 (base 16) in base 12?\nAnswer: -14143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5. Suppose -l + 4*b - 1 + 23 = 0, -73 = -3*l + f*b. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 9. Let s(f) be the first derivative of 3*f**2\/2 - 10*f + 2. Let p(v) = 7*o(v) - 6*s(v). Let z(x) = 2*x + 35. Let y be z(-19). Determine p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p**2 + 11*p + 1. Let j(n) = -3*n**3 - 5*n**2 + 1587*n - 4. What is j(l) + 4*u(l)?\nAnswer: l**3 - l**2 + 1631*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7306362*j**5 + j**2 + 2*j - 338603.\nAnswer: -438381720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h + 5. Let a = 13 + -19. Let d be 6*(-3)\/(27\/a). What is the units digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Suppose 5*c - 3*i = -34, -4*c = -5*c - 2*i + d. Let t = -16 - -29\/2. What is the smallest value in t, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 49095.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16932899 + 16932899 + 47*p**2.\nAnswer: 47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/5502193 - 242355095087\/44017544. Let m = -5496 - z. What is the common denominator of 2\/7 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 36749*u**3 + 0*u + 2*u - 36748*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -6.7. Let h = 6.4 - k. What is h rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 216 = 3*k. What is the greatest common divisor of 84 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*u + 10 - 66 + 55.\nAnswer: -803*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.76? (a) 1\/11 (b) 0.4 (c) 3026 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1 + -1)\/(-2). Suppose u = -18*j - 12*j + 150. Put 21, 2, j, 3 in ascending order.\nAnswer: 2, 3, j, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.93 - -89.2\nAnswer: 87.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2575 + -0.25747773. What is o rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m**2 - 2 + (m - 3*m + 3*m)*(-4*m + 3*m - m) - 2*m**2 + 3*m**2 + m**2)*(-m + 3*m - 6*m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-993)\/(-662)*(-62)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 7*k**2 - 5*k + 2. Let p be x(-5). Let a = -19 - -6. Let o = a + p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/6)\/(3\/1)*(-32)\/(-79328)*67.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/465 and -85\/651.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1387642761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(-1)\/((-8)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 43 + 43)*(-3*x - 2*x + 6*x)*(0*x - 6*x + 2*x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0245577 and 47.2541.\nAnswer: 47.2295423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010011 (base 2) to base 9.\nAnswer: -1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46432712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394 is divided by 223.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Let v = c + 0. Let a be (-19 + 9)*1\/(-2). Solve -3*g - 2*d + a = 0, 3*g - d = v*d - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - q**2 - 1 + 2*q**2 + 2. Suppose 2*g = -s + 15, 4*s + g = s + 15. What is m(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-16)\/(-70) - (-33)\/(-77))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-48) + (-13)\/((-624)\/(-50)). Sort -3\/2, z, -2\/11, -0.4, 2.\nAnswer: -3\/2, z, -0.4, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(2\/23)*j**(-3\/2)\/j**(-6) assuming j is positive.\nAnswer: j**(209\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -16*b**4 + 8578*b**3 - 8562*b**2 = 0.\nAnswer: 0, 1, 4281\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r. Let m(w) = 2*w**3 + 6*w**2 - w. Determine m(c) - 3*q(c).\nAnswer: 2*c**3 + 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24 and -35.584.\nAnswer: -11.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 2. Solve -o = 4*i - i + q, o - 15 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = -33*g. Let n = -4 + 18. Solve d = -3*o - g - n, 0 = o - d + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*j = -11241, -5*p + 9*j + 11244 = 11*j. Let q = p - 1263. What are the prime factors of q?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*o + 161*o = 0. Let u be (-2*1\/2)\/4. Let s = o + u. Which is the second biggest value? (a) -3 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 6. Let r be u(7). Let q(t) = -10*t**2 + t - 5. Let c(v) = 21*v**2 - 2*v + 11. Let o(m) = 6*c(m) + 13*q(m). What is o(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -12*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 108*b**2 + 901*b - 3162. What is n(26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078194 to 6 dps.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163589834*w**5 - 2*w**2 - 463924487.\nAnswer: -9815390040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 + 5*p + 1. Suppose -5*q - 21 = 5*a - 3*q, 2*a + 20 = 5*q. Determine l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtjc when four letters picked without replacement from ggtjgcgjhhggthchhgjj.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-one quarters of a millennium?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 - h. Let t be 1*-7 - (4 - 4). Let l = 5 + t. Calculate q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {v: 5, e: 3, r: 1, x: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1104 equal to -1104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 29786*z**2\/5 - 20743254*z - 54339295338\/5.\nAnswer: -2*(z - 7677)**2*(z + 461)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9\/5)*j**(-5)*((j*j**(-12))\/j)\/(j*j**(3\/4)*j) assuming j is positive.\nAnswer: j**(-431\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*b + 44 + 4. Suppose 0 = -3*l - 2*z + 30, -2*l = 3*l + 2*z - 46. Let v be (l\/20)\/(2\/5). Solve 3 = b*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqql when four letters picked without replacement from lxlqxlxqllqlqqx?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 98 = 12*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssh when three letters picked without replacement from isclzzhs?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 1. Let g(t) = -2*t + 1. Let m(r) = 78*r - 10 - 27*r - 33*r. Let f(l) = 10*g(l) + m(l). Determine f(v(c)).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 4*n + 2*n + 0 - n + 0 + (2 - 4 + 1)*(3*n + 0*n - n) + 2 + n - 2 + (2 + 2*n - 2)*(-8 + 8 - 7).\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-195)\/(-40))\/(9\/(-108)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and (-18)\/(-27)*(-18)\/(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -32.023.\nAnswer: -16.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(13) + (sqrt(117))**2*3 - ((sqrt(637) + 1 + sqrt(637) - sqrt(637))*-6)**2)*-2 + -4.\nAnswer: 1006*sqrt(13) + 45224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 59994435.0502.\nAnswer: 59994424.0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 4, 0.04, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/6*33\/(-880)*20.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 1248. Suppose -6*w + 10*w - z = 0. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -69. Let j(y) = 4*y. Let s(c) = 5*c - 1. Let t(r) = 3*j(r) - 2*s(r). What is t(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus 1.14?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -28. Solve l + 3*i + 0 + 7 = 0, 12 = 4*l + g*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -7b752?\nAnswer: -7b756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 248 = -4*y + 227, -8 = 2*y + 2*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4 + 14. Let c(g) = -2*g**2 + 16*g + 1. Let d(t) = t**2 - 8*t - 1. Let m(q) = 3*c(q) + 5*d(q). Determine m(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:08 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/34 + (-385946)\/(-187). Suppose 6*x + s = 2*x. List the prime factors of (x\/(-18))\/((-6)\/(-9)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 3 + 0*h + 3*h - 3 to the form j + b*h + r*h**2 + y*h**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-4))\/(240\/768))\/(132\/(-220))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 19*o + 12. Let p be k(-4). Suppose 0 = 3*i + 2*i. Let g be 6 - 4 - (-1 - i). Solve -l + g*l - 6 = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:22 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.79?\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395739.3l to millilitres.\nAnswer: 395739300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7181*v - 500740 = 332256 for v.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*r - 16, -49 = -5*r - 2*p + p. Suppose -4*m = m - r. Suppose 2*i + m*u + 2*u = 14, 18 = 3*i + 5*u. Solve -i - 1 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 42*b + 117. Let n be r(-39). Let s(q) be the third derivative of q**4\/12 + 5*q**3\/3 + q**2. What is the remainder when s(n) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005644 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16951.\nAnswer: 11, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - 3*p. Calculate o(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0.4. What is the second smallest value in -6, a, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20644?\nAnswer: 2, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -861, -934, -1007?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from ijjzzjzjziizjjjjz.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-2547\nAnswer: -127.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hul when three letters picked without replacement from uhuiulquhu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1730 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501355 + 722.\nAnswer: -500633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -2\/15, -2, -0.29?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4195 - -0.522. Sort h, 2, 2\/9 in increasing order.\nAnswer: h, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose y*r + 10 = 4. Let l = 14 + r. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311177 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 29*c = 2*c - 141. Solve 5*f - 13*w + 12*w - 13 = 0, -c*f = -4*w - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -412c + 93?\nAnswer: -4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 220 + 262 = 0. What is the smallest common multiple of l and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*i + 130*i - 286*i + 4224 = -128*i for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65520 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 499*j + 1. Let n(c) = -2*c**2 - 507*c - 2. Calculate 7*i(o) + 6*n(o).\nAnswer: 2*o**2 + 451*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(52)\/sqrt(4))*6 + (sqrt(468)*2 + 2)**2.\nAnswer: 54*sqrt(13) + 1846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 496*o**2 + 15376*o.\nAnswer: 4*o*(o - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45547 - -7498. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from nzgggrrqqqgn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26978277 + -26978242.999862. Let w = -0.247 + 34.247. Let u = w - v. What is u rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200 and 1440.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 40*n**2 + 38*n + 131. Let m be i(41). Let t(k) be the second derivative of -m*k + 0 + 1\/2*k**3 + 5\/2*k**2. Give t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 1659456 = 3*k - 9*t, 0 = -6*k - 5*t + 3318927. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 - 2*z. Let b be q(-6). Let x be (-6)\/(-21) - b\/14. Suppose i + 44 = 5*i - 3*g, x*i - 48 = -5*g. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -763 from -5.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 21*h + 5 + 4 - 4 - 1 + 2775005*h**2. Let c be u(-4). Round c to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1 - 10 - -3). Do 8 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 3*l + 1. Let b be g(2). Suppose -13 = -3*k - 1. Solve -5*s - 5*v + 20 = 0, 2*s - k*v - 7 = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1431 + 6*p**2 - 1852 + 421.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by 1.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 4*d = 34*d - 135. Let 20*f - 24 + 64\/3*f**2 + 4*f**d = 0. What is f?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65718, -262302, -589752, -1048068, -1637250, -2357298, -3208212?\n\"Answer: -65433*f**2 - 285*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 773 - 87228998\nAnswer: -87228225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**2 - 4*h**2 - 9*h**2. Let s(z) be the second derivative of -z**4\/6 - z. Give s(y(m)).\nAnswer: -1058*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(14\/(-21))*8\/90?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3443943 rounded to 3 decimal places?\nAnswer: 0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 4. Let y(z) = 8*z + 12*z - 11 - 8*z - 3*z. Let q = 13 - 19. Determine q*y(h) + 17*x(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 8. Let l = 0.5 + h. Let m(y) = -y**2 + 12*y - 15. Let c be m(11). What is the closest to 1 in c, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 3*p**2 + 2*p - 5*p + p.\nAnswer: -3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207118328, 414236656, 621354984, 828473312, 1035591640, 1242709968?\n\"Answer: 207118328*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*k**2 + k - k - 12*k**2.\nAnswer: -85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*x**2 + 30*x**2 + 7*x**2 in the form d*x + u*x**2 + q and give u.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 39*d**3 + d**2 - 4*d + 2. Let g be b(1). Suppose 2*h + 6 = 10. Suppose -g + 1320 = h*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3087 + -376.\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1302891 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*w*x**3 - 2*h**2*w*x**2 + 3*h**2*w + 95*h**2*x**3 - 2*h**2*x + 10*h**2 - 4*h*w*x**3 + 3*h*x**2 wrt x.\nAnswer: -6*h**2*w + 570*h**2 - 24*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 89\/88 (b) -3\/2 (c) 2\/9 (d) 3 (e) 0.4 (f) 24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/340 + (-2)\/(-17).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 2. Let k be s(2). Let y be 5\/(-1*3\/k). Let a = 14 + y. Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 - (-2 + -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 28573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let s = -6.08 - -6. Let p = 0.08 + s. What is the closest to 3 in p, -2\/15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 17038282?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 4, n: 2, o: 2, y: 3, w: 8}. Give prob of sequence ory.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 44. Suppose b = 2*b - 5*f - 30, -5*b + w*f + 50 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 493*b - 2442. Determine i(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/(-14)*2088628\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:48 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643\/50 - -16\/25. Calculate the common denominator of v and ((-4)\/(-30))\/(24\/1905).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -656 or -663?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 9*v - 9*v)*(-3 + 6 - 2).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005379 to 6 decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 8*i**2 + 6*i + 2. Let r be b(-7). Let q be 12 - r - (-6)\/1. What is the units digit of q\/5 - (-5)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 4029 = -3933 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21111 (base 3) to base 15\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - t**3 + 2*t)*(-7*t + 6*t + 1 + 3*t) in the form s + f*t**2 + o*t + l*t**3 + w*t**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50 - (4 + -8 - -6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/1500)\/((-1)\/(-2)) - (-10)\/((-30)\/(-7)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/82 and 37\/112.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -16 + 21 + (-17 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-140)*80\/(-10).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909826138.\nAnswer: 2, 3, 6197, 78259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*s + 46*s + 97*s + 52*s + 78*s)*(-3 - 11 + 127) to the form i + q*s and give q.\nAnswer: 42714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 + t**2 + 1. Let u(r) = r**3 - 6*r**2 + 4*r + 4. Let i be u(5). Let n = -1 + i. Is q(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 89456?\nAnswer: 626192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 38. Let x be (13\/(-26))\/(h\/4). Sort x, 0.1, 4 in ascending order.\nAnswer: x, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6296*f**3*g*h**3 - f**3*g*h**2 - 4*f**3*g*h + 2*f**3*h**3 + 65*f**2*g - 3*f*g + g*h wrt h.\nAnswer: -37776*f**3*g + 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.1 (c) -287 (d) 0 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2\/(-2 - -4)*673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 6286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 9 (c) 0.2 (d) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6042823 or 6042851?\nAnswer: 6042823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnojunoojxjow. Give prob of picking 1 x, 1 n, and 1 j.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 77 (b) -0.5 (c) -1 (d) 1 (e) 2937\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:57 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178132 - 324*q - 178132.\nAnswer: -324*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 690104 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17589 - 11626. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13484*j**2 - 10*j - 55. Let i(s) = 13481*s**2 + 12*s + 66. Calculate -5*i(v) - 6*x(v).\nAnswer: 13499*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 4. Let i(f) = 2*f - 240 + 8*f - 3*f + 7*f + 8*f. Let w be i(11). Solve -c*a - 11 = -r, -3*a = a + 2*r + w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heheheeheeehe. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4437 = -f - 4422, 2*f = -3*c + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03522125 and 0.25?\nAnswer: 0.0088053125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 30 = 4*t. Let i be (-16713)\/t + (-4)\/(-10). Suppose -7*o + 2*o = 2*x - 5537, -4*x - i = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let z(c) = 3*c - 6. Let d = -17 + 18. Determine d*z(t) - 5*h(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Let v = -7.3 + 7. Which is the nearest to 3? (a) i (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 10. Suppose c - 2*v + 6 = 0, -c = -3*v + 16 - 5. Let l be p(c). Solve l = -2*s + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 minutes after 9:37 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, q: 1, i: 2, v: 2}. What is prob of sequence ee?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-1\/3)\/t)\/t)\/t)**(2\/145)*t**(-12)*t**(-3\/13) assuming t is positive.\nAnswer: t**(-69347\/5655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17107609, -17107607, -17107603, -17107597, -17107589, -17107579, -17107567?\nAnswer: -17107553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 5:17 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/3 - 14752*h**4\/3 - 1707496*h**3\/3 - 1677988*h**2\/3 + 1707494*h\/3 + 1692740\/3 = 0. What is h?\nAnswer: -113, -1, 1, 7490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(0 - -3 - 1). Let d(o) = -b*o**2 + 5*o**2 - 3*o**2. Let c(v) = -2*v. Calculate d(c(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1559254157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -107.00432 and 5.51.\nAnswer: -101.49432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3*(8\/(-16))\/(4\/2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2543 (base 6) in base 11?\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -3)\/(2 + -3). Solve u = 4*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-2)\/(-24))\/((-14)\/28).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*m + 12*m + 10*m**2 + (-9 + 0 + 1)*(5*m**2 - 4*m**2 + m**2).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-35)\/(m\/((((m\/(m*m**(-6)*m))\/m)\/m)\/m)*m**(1\/10)) assuming m is positive.\nAnswer: m**(709\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}